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

analyze242.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-sin: 46.0ms (34.7% of total)

ival-pow: 38.0ms (28.6% of total)

ival-mult: 21.0ms (15.8% of total)

ival-sqrt: 12.0ms (9% of total)

ival-add: 8.0ms (6% of total)

ival-div: 6.0ms (4.5% of total)

const: 2.0ms (1.5% of total)

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

sample2.4s (14.1%)

Results

1.9s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-sin: 746.0ms (56.2% of total)

ival-pow: 246.0ms (18.5% of total)

ival-add: 125.0ms (9.4% of total)

ival-mult: 71.0ms (5.3% of total)

ival-sqrt: 63.0ms (4.7% of total)

ival-div: 56.0ms (4.2% of total)

const: 18.0ms (1.4% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess74.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain280.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
13	0	-	1	(3.8341531258325083e-160 3.2023131328135737e-181 3.577607035070086e-60)	`(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	49	(4.256681448255965e-28 7.650425166676485 5.617489036383951e+34)	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	59	(2.1671767043042424e+169 5.927989306926984e-65 2.807465690885673e+277)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

206.0ms

512×

valid

Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions

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

ival-pow: 56.0ms (39.9% of total)

ival-sin: 46.0ms (32.8% of total)

ival-div: 11.0ms (7.8% of total)

ival-sqrt: 11.0ms (7.8% of total)

ival-add: 10.0ms (7.1% of total)

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

const: 3.0ms (2.1% 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
▶	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	94.9%	(*.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))

Status

Accuracy

Program

▶

97.9%

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

▶

94.9%

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize161.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	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))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	accuracy	99.7%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	26	97
2	27	97
0	27	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

102.0ms

256×

valid

Compiler

Compiled 100 to 41 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-pow: 27.0ms (33.7% of total)

ival-sin: 19.0ms (23.7% of total)

ival-add: 7.0ms (8.7% of total)

<compiled-spec>: 7.0ms (8.7% of total)

ival-sqrt: 7.0ms (8.7% of total)

ival-mult: 6.0ms (7.5% of total)

ival-div: 5.0ms (6.2% of total)

const: 2.0ms (2.5% of total)

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

series55.0ms (0.3%)

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite363.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2162×	`-lowering-.f32`
2162×	`-lowering-.f64`
1960×	`/-lowering-/.f32`
1960×	`/-lowering-/.f64`
1678×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	105	84
2	749	84
0	9584	59

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 366

Calls

Call 1

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

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

simplify1.1s (6.6%)

Algorithm

1×	egg-herbie

Rules

14132×	`accelerator-lowering-fma.f32`
14132×	`accelerator-lowering-fma.f64`
6374×	`-lowering-.f32`
6374×	`-lowering-.f64`
5726×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	4033
1	1240	3906
2	4519	3751
0	8253	3465

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval162.0ms (1%)

Compiler: Compiled 15059 to 7606 computations (49.5% saved)

prune100.0ms (0.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	690	19	709
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	690	21	711

Accuracy

99.9%

Counts

711 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.6%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	69.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))
✓	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
▶	50.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	36.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
▶	30.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	47.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	27.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	35.2%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
✓	94.9%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	48.0%	(*.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))))) th)
	31.5%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	28.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	24.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	46.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	94.1%	(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)))
	23.2%	(.f64 ky (+.f64 (/.f64 (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))))
▶	30.2%	(sin.f64 th)

Compiler

Compiled 631 to 435 computations (31.1% saved)

localize237.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	accuracy	99.8%	(*.f64 (sin.f64 ky) th)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th))
✓	accuracy	98.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	98.1%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	98.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Rules

760×	`-lowering-.f32`
760×	`-lowering-.f64`
360×	`associate-r`
316×	`accelerator-lowering-fma.f32`
316×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	151
1	47	151
2	80	151
3	157	151
4	339	147
5	605	147
6	683	147
7	709	147
8	718	147
9	718	147
10	767	147
11	767	147
0	767	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

114.0ms

256×

valid

Compiler

Compiled 153 to 35 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-sin: 28.0ms (32% of total)

ival-mult: 26.0ms (29.7% of total)

<compiled-spec>: 15.0ms (17.2% of total)

ival-div: 7.0ms (8% of total)

ival-add: 6.0ms (6.9% of total)

ival-sqrt: 4.0ms (4.6% of total)

const: 1.0ms (1.1% of total)

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

series53.0ms (0.3%)

Counts

14 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
9.0ms	kx	@	0	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms	ky	@	0	(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
2.0ms	ky	@	inf	(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
2.0ms	ky	@	0	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
2.0ms	th	@	0	(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))

rewrite556.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3642×	`/-lowering-/.f32`
3642×	`/-lowering-/.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
2882×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	141	124
2	1083	124
0	8958	96

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 486

Calls

Call 1

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

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

simplify812.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

8730×	`accelerator-lowering-fma.f32`
8730×	`accelerator-lowering-fma.f64`
7040×	`-lowering-.f32`
7040×	`-lowering-.f64`
5702×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	6236
1	2323	5942
2	6271	5763
0	8533	5426

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval249.0ms (1.5%)

Compiler: Compiled 25562 to 10966 computations (57.1% saved)

prune312.0ms (1.9%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1110	35	1145
Fresh	3	11	14
Picked	3	2	5
Done	0	2	2
Total	1116	50	1166

Accuracy

100.0%

Counts

1166 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.3%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	30.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶	15.0%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	24.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
	27.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
	17.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
	19.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
	22.2%	(/.f64 (.f64 (.f64 th (.f64 th th)) (+.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.6%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.2%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	69.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))
✓	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	50.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
	36.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	21.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
	18.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
▶	47.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	25.1%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
	18.4%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	65.6%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	27.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	7.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 ky)) (sin.f64 th)))
	31.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	30.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	30.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
	11.3%	(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
	10.3%	(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
	48.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	54.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	52.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
✓	94.9%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	48.0%	(*.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))))) th)
	31.5%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	28.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	30.1%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	12.5%	(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
	24.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	46.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	94.1%	(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)))
	46.9%	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
	13.6%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	19.2%	(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	24.4%	(.f64 th (.f64 (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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	17.8%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
	28.3%	(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
✓	30.2%	(sin.f64 th)
▶	14.0%	th

Compiler

Compiled 1602 to 1122 computations (30% saved)

localize983.0ms (5.9%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) th)
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(cos.f64 (-.f64 th ky))
✓	cost-diff	0	(-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))
✓	cost-diff	0	(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 kx kx))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
✓	cost-diff	256	(hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
✓	cost-diff	256	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
✓	cost-diff	256	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(*.f64 (sin.f64 ky) th)
✓	accuracy	97.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	98.0%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
✓	accuracy	75.8%	(cos.f64 (-.f64 th ky))
✓	accuracy	75.6%	(cos.f64 (+.f64 ky th))
✓	accuracy	39.5%	(-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 kx kx))
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	86.0%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
✓	accuracy	83.3%	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 kx))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))

Rules

4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
3436×	`accelerator-lowering-fma.f32`
3436×	`accelerator-lowering-fma.f64`
2112×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	192
1	72	192
2	133	192
3	278	192
4	611	192
5	1280	190
6	2011	190
7	2671	190
8	4265	190
9	6761	190
0	8282	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

222.0ms	151×	1	valid
162.0ms	92×	2	valid
10.0ms	13×	0	valid

Compiler

Compiled 198 to 67 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

<compiled-spec>: 68.0ms (18.8% of total)

ival-mult: 59.0ms (16.3% of total)

ival-div: 56.0ms (15.5% of total)

backward-pass: 46.0ms (12.7% of total)

ival-cos: 41.0ms (11.3% of total)

ival-sin: 39.0ms (10.8% of total)

ival-add: 21.0ms (5.8% of total)

ival-sqrt: 16.0ms (4.4% of total)

ival-sub: 12.0ms (3.3% of total)

const: 5.0ms (1.4% of total)

series103.0ms (0.6%)

Counts

20 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	th	@	inf	(/ (* (+ (* 1/6 (* kx kx)) 1) (* (sin ky) (sin th))) kx)
3.0ms	kx	@	0	(/ (/ (- (cos (- th ky)) (cos (+ ky th))) 2) (sin kx))
1.0ms	kx	@	inf	(/ (/ (- (cos (- th ky)) (cos (+ ky th))) 2) (sin kx))
1.0ms	ky	@	0	(/ (* (sin ky) th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
1.0ms	ky	@	inf	(* (+ (* 1/6 (* kx kx)) 1) (* (sin ky) (sin th)))

rewrite620.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4532×	`-lowering-.f32`
4532×	`-lowering-.f64`
4502×	`/-lowering-/.f32`
4502×	`/-lowering-/.f64`
2398×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	241	153
2	1835	153
0	8529	125

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 627

Calls

Call 1

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

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

simplify958.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

9476×	`accelerator-lowering-fma.f32`
9476×	`accelerator-lowering-fma.f64`
7280×	`-lowering-.f32`
7280×	`-lowering-.f64`
5414×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	800	7418
1	2702	6952
2	6835	6919
0	8821	6457

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
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 (*.f64 kx kx) #s(literal 1/120 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 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 kx kx) #s(literal -1/5040 binary64))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (/.f64 #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 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 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 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))))) (+.f64 (.f64 #s(literal -1/12 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 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (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 (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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (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 (sin.f64 ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) #s(literal 1/120 binary64)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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)))))))
(/ 1 kx)
(/.f64 #s(literal 1 binary64) kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 kx kx) #s(literal 7/360 binary64))))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 kx kx) #s(literal 31/15120 binary64))))))) kx)
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* ky (+ (* -1/6 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))))))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))))))))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))))
(* th (+ (* -1/6 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))
(.f64 th (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) #s(literal 1/120 binary64))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(* 1/6 (* kx (* (sin ky) (sin th))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 kx (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 kx (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 kx (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))))
(* 1/6 (* kx (* (sin ky) (sin th))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 ky (+.f64 (.f64 (.f64 (.f64 (.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/6 binary64) kx)) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 (.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))) kx) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx))))))))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 th (+.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 th (+.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))))) kx) (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))) kx)))))))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(* ky (sin th))
(*.f64 ky (sin.f64 th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th)))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
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(* (sin ky) (sin th))
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(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(.f64 th (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)) (sin.f64 ky)))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 th th)) #s(literal 1/120 binary64))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
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(*.f64 (sin.f64 ky) (sin.f64 th))
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(*.f64 (sin.f64 ky) (sin.f64 th))
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(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
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(- (cos (neg ky)) (cos ky))
#s(literal 0 binary64)
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(.f64 th (+.f64 (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (+.f64 (sin.f64 ky) (sin.f64 ky))))) (+.f64 (sin.f64 ky) (sin.f64 ky))))
(- (cos (- th ky)) (cos (+ ky th)))
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(- (cos (- th ky)) (cos (+ ky th)))
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(* ky (- (sin th) (* -1 (sin th))))
(.f64 ky (.f64 #s(literal 2 binary64) (sin.f64 th)))
(* ky (- (+ (sin th) (* (pow ky 2) (- (* -1/6 (sin th)) (* 1/6 (sin th))))) (* -1 (sin th))))
(.f64 ky (+.f64 (.f64 #s(literal 2 binary64) (sin.f64 th)) (.f64 (.f64 ky ky) (*.f64 (sin.f64 th) #s(literal -1/3 binary64)))))
(* ky (- (+ (sin th) (* (pow ky 2) (- (+ (* -1/6 (sin th)) (* (pow ky 2) (- (* 1/120 (sin th)) (* -1/120 (sin th))))) (* 1/6 (sin th))))) (* -1 (sin th))))
(.f64 ky (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) #s(literal -1/3 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal 1/60 binary64))))) (.f64 #s(literal 2 binary64) (sin.f64 th))))
(* ky (- (+ (sin th) (* (pow ky 2) (- (+ (* -1/6 (sin th)) (* (pow ky 2) (- (+ (* 1/120 (sin th)) (* (pow ky 2) (- (* -1/5040 (sin th)) (* 1/5040 (sin th))))) (* -1/120 (sin th))))) (* 1/6 (sin th))))) (* -1 (sin th))))
(.f64 ky (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) #s(literal 1/60 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal -1/2520 binary64))))) (.f64 (sin.f64 th) #s(literal -1/3 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 th))))
(- (cos (- th ky)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (- th ky)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (- th ky)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (- th ky)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(cos th)
(cos.f64 th)
(+ (cos th) (* -1 (* ky (sin th))))
(-.f64 (cos.f64 th) (*.f64 ky (sin.f64 th)))
(+ (cos th) (* ky (- (* -1/2 (* ky (cos th))) (sin th))))
(+.f64 (cos.f64 th) (.f64 ky (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 ky (cos.f64 th))) (sin.f64 th))))
(+ (cos th) (* ky (- (* ky (+ (* -1/2 (cos th)) (* 1/6 (* ky (sin th))))) (sin th))))
(+.f64 (cos.f64 th) (.f64 ky (-.f64 (.f64 ky (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/6 binary64) (*.f64 ky (sin.f64 th))))) (sin.f64 th))))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 ky th))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 ky th))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 ky th))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 ky th))
(cos ky)
(cos.f64 ky)
(+ (cos ky) (* -1 (* th (sin ky))))
(-.f64 (cos.f64 ky) (*.f64 (sin.f64 ky) th))
(+ (cos ky) (* th (- (* -1/2 (* th (cos ky))) (sin ky))))
(+.f64 (cos.f64 ky) (.f64 th (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th (cos.f64 ky))) (sin.f64 ky))))
(+ (cos ky) (* th (- (* th (+ (* -1/2 (cos ky)) (* 1/6 (* th (sin ky))))) (sin ky))))
(+.f64 (cos.f64 ky) (.f64 th (-.f64 (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 ky)) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) th)))) (sin.f64 ky))))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (+ ky th))
(cos.f64 (+.f64 ky th))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 ky th))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 ky th))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 ky th))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 ky th))
(cos (neg ky))
(cos.f64 ky)
(+ (cos (neg ky)) (* -1 (* th (sin (neg ky)))))
(+.f64 (*.f64 (sin.f64 ky) th) (cos.f64 ky))
(+ (cos (neg ky)) (* th (- (* -1/2 (* th (cos (neg ky)))) (sin (neg ky)))))
(+.f64 (cos.f64 ky) (.f64 th (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (*.f64 th (cos.f64 ky))))))
(+ (cos (neg ky)) (* th (- (* th (+ (* -1/2 (cos (neg ky))) (* 1/6 (* th (sin (neg ky)))))) (sin (neg ky)))))
(+.f64 (cos.f64 ky) (.f64 th (+.f64 (sin.f64 ky) (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 ky)) (.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) th)))))))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (neg (+ ky (* -1 th))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ ky (* -1 th))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ ky (* -1 th))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ ky (* -1 th))))
(cos.f64 (-.f64 ky th))
(cos th)
(cos.f64 th)
(+ (cos th) (* ky (sin th)))
(+.f64 (*.f64 ky (sin.f64 th)) (cos.f64 th))
(+ (cos th) (* ky (- (* -1/2 (* ky (cos th))) (* -1 (sin th)))))
(+.f64 (cos.f64 th) (.f64 ky (+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 ky (cos.f64 th))))))
(+ (cos th) (* ky (- (* ky (+ (* -1/2 (cos th)) (* -1/6 (* ky (sin th))))) (* -1 (sin th)))))
(+.f64 (cos.f64 th) (.f64 ky (+.f64 (sin.f64 th) (.f64 ky (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 th)) (.f64 #s(literal -1/6 binary64) (*.f64 ky (sin.f64 th))))))))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (- th ky))
(cos.f64 (-.f64 ky th))
(cos (+ th (* -1 ky)))
(cos.f64 (-.f64 ky th))
(cos (+ th (* -1 ky)))
(cos.f64 (-.f64 ky th))
(cos (+ th (* -1 ky)))
(cos.f64 (-.f64 ky th))
(cos (+ th (* -1 ky)))
(cos.f64 (-.f64 ky th))
(* 1/2 (/ (- (cos (neg ky)) (cos ky)) (sin kx)))
#s(literal 0 binary64)
(+ (* 1/2 (* th (- (/ (sin ky) (sin kx)) (/ (sin (neg ky)) (sin kx))))) (* 1/2 (/ (- (cos (neg ky)) (cos ky)) (sin kx))))
(.f64 #s(literal 1/2 binary64) (.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(+ (* 1/2 (/ (- (cos (neg ky)) (cos ky)) (sin kx))) (* th (+ (* 1/2 (* th (- (* -1/2 (/ (cos (neg ky)) (sin kx))) (* -1/2 (/ (cos ky) (sin kx)))))) (* 1/2 (- (/ (sin ky) (sin kx)) (/ (sin (neg ky)) (sin kx)))))))
(.f64 th (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(+ (* 1/2 (/ (- (cos (neg ky)) (cos ky)) (sin kx))) (* th (+ (* 1/2 (- (/ (sin ky) (sin kx)) (/ (sin (neg ky)) (sin kx)))) (* th (+ (* 1/2 (* th (- (* -1/6 (/ (sin ky) (sin kx))) (* -1/6 (/ (sin (neg ky)) (sin kx)))))) (* 1/2 (- (* -1/2 (/ (cos (neg ky)) (sin kx))) (* -1/2 (/ (cos ky) (sin kx))))))))))
(.f64 th (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 th (.f64 #s(literal 1/2 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (sin.f64 ky) (sin.f64 kx)))))))))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (* ky (- (sin th) (* -1 (sin th)))) (sin kx)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(* ky (+ (* 1/2 (* (pow ky 2) (- (* -1/6 (/ (sin th) (sin kx))) (* 1/6 (/ (sin th) (sin kx)))))) (* 1/2 (/ (- (sin th) (* -1 (sin th))) (sin kx)))))
(.f64 ky (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 (sin.f64 th) #s(literal -1/3 binary64)) (sin.f64 kx))) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 kx)))))
(* ky (+ (* 1/2 (/ (- (sin th) (* -1 (sin th))) (sin kx))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 1/120 (/ (sin th) (sin kx))) (* -1/120 (/ (sin th) (sin kx)))))) (* 1/2 (- (* -1/6 (/ (sin th) (sin kx))) (* 1/6 (/ (sin th) (sin kx)))))))))
(.f64 ky (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 th)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal -1/3 binary64)) (sin.f64 kx)) (.f64 (.f64 ky ky) (/.f64 (.f64 (sin.f64 th) #s(literal 1/60 binary64)) (sin.f64 kx))))))))
(* ky (+ (* 1/2 (/ (- (sin th) (* -1 (sin th))) (sin kx))) (* (pow ky 2) (+ (* 1/2 (- (* -1/6 (/ (sin th) (sin kx))) (* 1/6 (/ (sin th) (sin kx))))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sin kx))) (* 1/5040 (/ (sin th) (sin kx)))))) (* 1/2 (- (* 1/120 (/ (sin th) (sin kx))) (* -1/120 (/ (sin th) (sin kx)))))))))))
(.f64 ky (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 th)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) #s(literal -1/3 binary64)) (sin.f64 kx))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 1/60 binary64)) (sin.f64 kx)) (.f64 (.f64 ky ky) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2520 binary64)) (sin.f64 kx))))))))))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) kx))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) kx))
(/ (+ (* 1/12 (* (pow kx 2) (- (cos (- th ky)) (cos (+ ky th))))) (* 1/2 (- (cos (- th ky)) (cos (+ ky th))))) kx)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/ (+ (* 1/2 (- (cos (- th ky)) (cos (+ ky th)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/36 (- (cos (- th ky)) (cos (+ ky th)))) (* 1/120 (- (cos (- th ky)) (cos (+ ky th))))))) (* 1/12 (- (cos (- th ky)) (cos (+ ky th))))))) kx)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -7/360 binary64))) (.f64 #s(literal 1/12 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))) kx)
(/ (+ (* 1/2 (- (cos (- th ky)) (cos (+ ky th)))) (* (pow kx 2) (+ (* 1/12 (- (cos (- th ky)) (cos (+ ky th)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/5040 (- (cos (- th ky)) (cos (+ ky th)))) (+ (* 1/720 (- (cos (- th ky)) (cos (+ ky th)))) (* 1/6 (+ (* -1/36 (- (cos (- th ky)) (cos (+ ky th)))) (* 1/120 (- (cos (- th ky)) (cos (+ ky th)))))))))) (* -1/2 (+ (* -1/36 (- (cos (- th ky)) (cos (+ ky th)))) (* 1/120 (- (cos (- th ky)) (cos (+ ky th))))))))))) kx)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/12 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (.f64 (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -7/360 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -7/360 binary64))) (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1/840 binary64)))))))))) kx)
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(* 1/2 (/ (- (cos (- th ky)) (cos (+ ky th))) (sin kx)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))
(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))) (.f64 (.f64 ky ky) (+.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 (.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 #s(literal 1/120 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))))))) (* (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 -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/5040 binary64) (/.f64 th (sin.f64 kx))))))) (/.f64 (*.f64 #s(literal 1/120 binary64) 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 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 (.f64 (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))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* ky th)
(*.f64 ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) th))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(.f64 ky (+.f64 th (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))))))))
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
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(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.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 (.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 (*.f64 kx kx) #s(literal 1/120 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 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 kx kx) #s(literal -1/5040 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)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.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 (.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))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow kx 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(+ 1 (* 1/6 (pow kx 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(+ 1 (* 1/6 (pow kx 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* 1/2 (- (cos (neg ky)) (cos ky)))
#s(literal 0 binary64)
(+ (* 1/2 (* th (- (sin ky) (sin (neg ky))))) (* 1/2 (- (cos (neg ky)) (cos ky))))
(.f64 (.f64 #s(literal 1/2 binary64) th) (+.f64 (sin.f64 ky) (sin.f64 ky)))
(+ (* 1/2 (- (cos (neg ky)) (cos ky))) (* th (+ (* 1/2 (* th (- (* -1/2 (cos (neg ky))) (* -1/2 (cos ky))))) (* 1/2 (- (sin ky) (sin (neg ky)))))))
(.f64 th (.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 ky) (sin.f64 ky))))
(+ (* 1/2 (- (cos (neg ky)) (cos ky))) (* th (+ (* 1/2 (- (sin ky) (sin (neg ky)))) (* th (+ (* 1/2 (* th (- (* -1/6 (sin ky)) (* -1/6 (sin (neg ky)))))) (* 1/2 (- (* -1/2 (cos (neg ky))) (* -1/2 (cos ky)))))))))
(.f64 th (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 ky) (sin.f64 ky))) (.f64 th (.f64 #s(literal 1/2 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (+.f64 (sin.f64 ky) (sin.f64 ky))))))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (neg (+ ky (* -1 th)))) (cos (- ky (* -1 th)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (* ky (- (sin th) (* -1 (sin th)))))
(.f64 #s(literal 1/2 binary64) (.f64 ky (*.f64 #s(literal 2 binary64) (sin.f64 th))))
(* ky (+ (* 1/2 (* (pow ky 2) (- (* -1/6 (sin th)) (* 1/6 (sin th))))) (* 1/2 (- (sin th) (* -1 (sin th))))))
(.f64 ky (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (sin.f64 th)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal -1/3 binary64))))))
(* ky (+ (* 1/2 (- (sin th) (* -1 (sin th)))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 1/120 (sin th)) (* -1/120 (sin th))))) (* 1/2 (- (* -1/6 (sin th)) (* 1/6 (sin th))))))))
(.f64 ky (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sin.f64 th))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sin.f64 th) #s(literal -1/3 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal 1/60 binary64))))))))
(* ky (+ (* 1/2 (- (sin th) (* -1 (sin th)))) (* (pow ky 2) (+ (* 1/2 (- (* -1/6 (sin th)) (* 1/6 (sin th)))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/5040 (sin th)) (* 1/5040 (sin th))))) (* 1/2 (- (* 1/120 (sin th)) (* -1/120 (sin th))))))))))
(.f64 ky (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sin.f64 th))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) #s(literal -1/3 binary64))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sin.f64 th) #s(literal 1/60 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal -1/2520 binary64))))))))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (- th ky)) (cos (+ ky th))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
(* 1/2 (- (cos (+ th (* -1 ky))) (cos (- th (* -1 ky)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)

eval408.0ms (2.4%)

Compiler: Compiled 27997 to 11903 computations (57.5% saved)

prune310.0ms (1.9%)

Pruning

69 alts after pruning (63 fresh and 6 done)

	Pruned	Kept	Total
New	1182	35	1217
Fresh	13	28	41
Picked	2	3	5
Done	1	3	4
Total	1198	69	1267

Accuracy

100.0%

Counts

1267 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	11.3%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	10.9%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
	11.1%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
	11.1%	(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	11.4%	(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	12.1%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
	30.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
	7.2%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
	10.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
	13.5%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
	13.6%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	8.1%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
▶	24.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
	17.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
	14.2%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
	8.6%	(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	49.6%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.2%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
✓	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	36.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
▶	21.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
	18.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	40.2%	(/.f64 (.f64 (sin.f64 ky) th) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	44.1%	(/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	47.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
	25.1%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
	18.0%	(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
	20.1%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	18.4%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	65.6%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	27.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	31.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	47.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
	30.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
	11.3%	(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
	10.9%	(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
	14.9%	(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
	55.3%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)))) (sin.f64 th))
	48.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	54.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	52.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
	52.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	80.8%	(.f64 (/.f64 (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 th))
	31.5%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	48.9%	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	28.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	30.1%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	24.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (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 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	19.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	15.6%	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
	46.9%	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
	10.9%	(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
	13.6%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	19.2%	(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	17.8%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
	18.3%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	28.3%	(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
	14.2%	(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
	8.3%	(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
✓	30.2%	(sin.f64 th)
✓	14.0%	th
▶	11.0%	#s(literal 0 binary64)

Compiler

Compiled 2159 to 1531 computations (29.1% saved)

localize975.0ms (5.8%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	cost-diff	13056	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.3%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th))
✓	accuracy	85.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	91.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	91.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))

Rules

11856×	`accelerator-lowering-fma.f32`
11856×	`accelerator-lowering-fma.f64`
4986×	`-lowering-.f32`
4986×	`-lowering-.f64`
2018×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	191
1	68	191
2	163	181
3	481	181
4	1255	177
5	2218	177
6	3797	177
7	4683	177
8	5208	177
9	5320	177
10	5474	177
11	5573	177
12	6372	177
13	7239	177
14	7832	177
0	8099	125

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
(sin th)
th
(/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin kx)
kx
(sin ky)
ky
0
(/ (* (sin ky) (sin th)) ky)
(* (sin ky) (sin th))
(/ (* (sin ky) (sin th)) (sin ky))
(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
(* (+ 1 (* -1/6 (* th th))) (* (sin ky) th))
(+ 1 (* -1/6 (* th th)))
1
(* -1/6 (* th th))
-1/6
(* th th)
(* (sin ky) th)
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))
(* ky (+ 1 (* (* ky ky) -1/6)))
(+ 1 (* (* ky ky) -1/6))
(* (* ky ky) -1/6)
(* ky ky)

Outputs
(/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin th)
(sin.f64 th)
th
(/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
kx
(sin ky)
(sin.f64 ky)
ky
0
#s(literal 0 binary64)
(/ (* (sin ky) (sin th)) ky)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/ (* (sin ky) (sin th)) (sin ky))
(sin.f64 th)
(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(* (+ 1 (* -1/6 (* th th))) (* (sin ky) th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (sin.f64 ky)))
(+ 1 (* -1/6 (* th th)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
1
#s(literal 1 binary64)
(* -1/6 (* th th))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
-1/6
#s(literal -1/6 binary64)
(* th th)
(*.f64 th th)
(* (sin ky) th)
(*.f64 th (sin.f64 ky))
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(* ky (+ 1 (* (* ky ky) -1/6)))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(+ 1 (* (* ky ky) -1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))
(* (* ky ky) -1/6)
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* ky ky)
(*.f64 ky ky)

Results

140.0ms

256×

valid

Compiler

Compiled 176 to 59 computations (66.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 46.0ms (39.1% of total)

<compiled-spec>: 21.0ms (17.9% of total)

ival-sin: 20.0ms (17% of total)

ival-add: 12.0ms (10.2% of total)

ival-div: 9.0ms (7.7% of total)

ival-sqrt: 6.0ms (5.1% of total)

const: 2.0ms (1.7% of total)

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

series51.0ms (0.3%)

Counts

14 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
13.0ms	th	@	inf	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
2.0ms	kx	@	0	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
2.0ms	th	@	0	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
2.0ms	kx	@	inf	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
1.0ms	ky	@	-inf	(/ (* (+ 1 (* -1/6 (* th th))) (* (sin ky) th)) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))

rewrite686.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3952×	`accelerator-lowering-fma.f32`
3952×	`accelerator-lowering-fma.f64`
3640×	`/-lowering-/.f32`
3640×	`/-lowering-/.f64`
3306×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	118
1	180	118
2	1468	116
0	8808	92

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 419

Calls

Call 1

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

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

simplify1.2s (6.9%)

Algorithm

1×	egg-herbie

Rules

12700×	`accelerator-lowering-fma.f32`
12700×	`accelerator-lowering-fma.f64`
8776×	`-lowering-.f32`
8776×	`-lowering-.f64`
3998×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	5590
1	1839	4883
2	7365	4827
0	8252	4344

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

eval208.0ms (1.2%)

Compiler: Compiled 21655 to 9934 computations (54.1% saved)

prune270.0ms (1.6%)

Pruning

91 alts after pruning (83 fresh and 8 done)

	Pruned	Kept	Total
New	963	33	996
Fresh	8	50	58
Picked	3	2	5
Done	0	6	6
Total	974	91	1065

Accuracy

100.0%

Counts

1065 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	11.3%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	10.9%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
	11.1%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
	11.1%	(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	11.4%	(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
	12.1%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	30.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
	21.1%	(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
	24.1%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
	21.2%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
	7.2%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
	10.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
	13.6%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	8.1%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
	25.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
	16.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
	16.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
	23.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
	14.2%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
	8.6%	(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	3.1%	(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
	49.2%	(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	36.2%	(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
✓	97.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	18.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	40.2%	(/.f64 (.f64 (sin.f64 ky) th) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	44.1%	(/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	47.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.3%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
	18.0%	(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
	20.1%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	18.4%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	14.2%	(/.f64 (*.f64 (sin.f64 ky) th) ky)
	2.7%	(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
	48.4%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	25.4%	(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
	19.7%	(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) ky)
	16.5%	(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
	65.6%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	21.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
	27.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	36.2%	(/.f64 (*.f64 ky (sin.f64 th)) ky)
	52.3%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	51.1%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky))
	54.9%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
	28.9%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	32.7%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	31.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	15.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	49.0%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	47.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
	30.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
	30.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	11.3%	(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
	10.9%	(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
	14.9%	(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
	30.1%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	55.3%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	52.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
	52.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	80.8%	(.f64 (/.f64 (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 th))
	31.5%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	15.1%	(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
	28.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	36.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
	30.1%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	11.3%	(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
	24.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	13.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	19.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	15.6%	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
	46.9%	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
	10.9%	(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
	7.2%	(.f64 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
	13.6%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	19.2%	(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	18.3%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	28.3%	(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
	14.2%	(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
	8.3%	(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
✓	30.2%	(sin.f64 th)
	22.3%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
✓	14.0%	th
✓	11.0%	#s(literal 0 binary64)

Compiler

Compiled 3348 to 1873 computations (44.1% saved)

regimes340.0ms (2%)

Counts

124 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)))) (sin.f64 th))
(.f64 th (.f64 (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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 th (.f64 th th)) (+.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 ky (+.f64 (/.f64 (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (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))))) th)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)))

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

Calls

9 calls:

49.0ms	th
43.0ms	(sin.f64 th)
36.0ms	(sin.f64 kx)
36.0ms	kx
35.0ms	ky

Results

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

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes228.0ms (1.4%)

Counts

107 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)))) (sin.f64 th))
(.f64 th (.f64 (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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

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

Calls

7 calls:

35.0ms	(sin.f64 kx)
32.0ms	(sin.f64 th)
31.0ms	(sin.f64 ky)
30.0ms	kx
30.0ms	th

Results

Accuracy	Segments	Branch
99.5%	1	`kx`
99.5%	1	`ky`
99.5%	1	`th`
99.5%	1	`(sin.f64 ky)`
99.5%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.5%	1	`(sin.f64 kx)`
99.5%	1	`(sin.f64 th)`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes538.0ms (3.2%)

Counts

106 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)) (/.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)))) (sin.f64 th))
(.f64 th (.f64 (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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))

Outputs

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

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

Calls

7 calls:

108.0ms	ky
100.0ms	kx
77.0ms	(sin.f64 th)
75.0ms	(sin.f64 ky)
75.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
80.6%	4	`kx`
82.7%	4	`ky`
83.6%	2	`th`
81.2%	3	`(sin.f64 ky)`
78.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
79.4%	3	`(sin.f64 kx)`
83.6%	3	`(sin.f64 th)`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes60.0ms (0.4%)

Counts

98 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))

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

Calls

1 calls:

49.0ms

th

Results

Accuracy	Segments	Branch
83.6%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes57.0ms (0.3%)

Counts

86 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))

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

Calls

1 calls:

45.0ms

th

Results

Accuracy	Segments	Branch
83.5%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes265.0ms (1.6%)

Counts

83 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 ky))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 ky)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 th)) #s(literal 2 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))

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

Calls

6 calls:

115.0ms	(sin.f64 th)
44.0ms	(sin.f64 ky)
26.0ms	(sin.f64 kx)
24.0ms	th
24.0ms	ky

Results

Accuracy	Segments	Branch
65.6%	1	`kx`
65.6%	1	`(sin.f64 kx)`
71.3%	2	`(sin.f64 ky)`
65.6%	1	`ky`
67.2%	3	`(sin.f64 th)`
67.2%	2	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes53.0ms (0.3%)

Counts

61 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))

Outputs

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

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

Calls

1 calls:

45.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
67.7%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes267.0ms (1.6%)

Counts

59 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))

Outputs

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

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

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

Calls

6 calls:

61.0ms	(sin.f64 th)
46.0ms	th
42.0ms	(sin.f64 kx)
41.0ms	(sin.f64 ky)
41.0ms	ky

Results

Accuracy	Segments	Branch
45.5%	5	`(sin.f64 th)`
47.8%	2	`kx`
48.2%	4	`ky`
51.4%	3	`(sin.f64 kx)`
44.3%	4	`th`
49.6%	4	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes52.0ms (0.3%)

Counts

58 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))

Outputs

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

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

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

Calls

1 calls:

45.0ms

(sin.f64 kx)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes99.0ms (0.6%)

Counts

54 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 ky th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal -1 binary64))) kx)
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 th (+.f64 ky (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) kx)
(/.f64 (.f64 th (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky ky)) #s(literal 36 binary64)))) (.f64 ky (.f64 ky ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx #s(literal 1/120 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)))

Outputs

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

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

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

Calls

2 calls:

51.0ms	kx
41.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
47.4%	4	`kx`
49.2%	3	`(sin.f64 kx)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.2%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th))
(.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 th (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx))
(/.f64 (.f64 ky (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th))) 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 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) th)) kx)
(/.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th #s(literal 6 binary64))) (.f64 ky (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 th)))) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) th)) (sin.f64 ky))
(/.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 th (+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (+.f64 (.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) #s(literal 1/2 binary64))) kx)

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

Calls

1 calls:

21.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
46.6%	2	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
46.6%	2	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes146.0ms (0.9%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

75.0ms	th
33.0ms	kx
14.0ms	(sin.f64 kx)
10.0ms	(sin.f64 ky)
10.0ms	ky

Results

Accuracy	Segments	Branch
39.6%	3	`th`
38.1%	2	`kx`
40.2%	2	`ky`
40.9%	2	`(sin.f64 ky)`
39.2%	2	`(sin.f64 kx)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes369.0ms (2.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

332.0ms	(sin.f64 th)
14.0ms	(sin.f64 kx)
11.0ms	ky
10.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
39.2%	2	`(sin.f64 kx)`
38.4%	2	`ky`
39.6%	3	`(sin.f64 th)`
38.4%	2	`(sin.f64 ky)`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes29.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
th
(.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))

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

Calls

5 calls:

7.0ms	(sin.f64 kx)
7.0ms	(sin.f64 th)
5.0ms	kx
4.0ms	th
4.0ms	ky

Results

Accuracy	Segments	Branch
36.2%	3	`(sin.f64 th)`
35.2%	2	`th`
37.9%	2	`kx`
37.8%	2	`ky`
38.7%	3	`(sin.f64 kx)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes16.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(sin.f64 th)
#s(literal 0 binary64)

Calls

4 calls:

5.0ms	ky
5.0ms	(sin.f64 th)
3.0ms	kx
2.0ms	th

Results

Accuracy	Segments	Branch
32.0%	3	`(sin.f64 th)`
30.2%	1	`th`
34.3%	2	`ky`
34.4%	2	`kx`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes11.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
th

Calls

3 calls:

6.0ms	kx
3.0ms	ky
2.0ms	th

Results

Accuracy	Segments	Branch
14.0%	1	`th`
20.2%	2	`ky`
19.3%	2	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

0.0ms	th
0.0ms	ky
0.0ms	kx

Results

Accuracy	Segments	Branch
11.0%	1	`th`
11.0%	1	`kx`
11.0%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.6044795124526925e-7	2.913199506542384e-5

Results

16.0ms

112×

valid

Compiler

Compiled 270 to 187 computations (30.7% saved)

Precisions

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

ival-sin: 7.0ms (57.4% of total)

ival-pow: 2.0ms (16.4% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.6044795124526925e-7	2.913199506542384e-5

Results

17.0ms

112×

valid

Compiler

Compiled 214 to 145 computations (32.2% saved)

Precisions

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

ival-sin: 8.0ms (59.9% of total)

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.6044795124526925e-7	2.913199506542384e-5

Results

17.0ms

112×

valid

Compiler

Compiled 214 to 145 computations (32.2% saved)

Precisions

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

ival-sin: 7.0ms (55.7% of total)

ival-pow: 2.0ms (15.9% of total)

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

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

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

ival-sqrt: 1.0ms (8% 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	-0.04235553533056087	1.5443762951682753e-307

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7288475502738772	-0.7054629200685109

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.457830104210172e-18	1.9171012429586308e-17
0.0ms	-0.3212741058301331	-0.3208187213275609

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.457830104210172e-18	1.9171012429586308e-17
0.0ms	-0.3212741058301331	-0.3208187213275609

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9171012429586308e-17	2.796554623227674e-17
0.0ms	-0.3212741058301331	-0.3208187213275609

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9171012429586308e-17	2.796554623227674e-17

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9171012429586308e-17	2.796554623227674e-17

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.50297245209775e-112	8.671161547158473e-112

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1486588790955918	0.24407573611399427

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.581907519020922e+23	1.3529655087116272e+24

Results

12.0ms

64×

valid

Compiler

Compiled 89 to 67 computations (24.7% saved)

Precisions

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

ival-sin: 5.0ms (54.2% of total)

ival-div: 1.0ms (10.8% of total)

ival-pow: 1.0ms (10.8% of total)

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

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

const: 0.0ms (0% of total)

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

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

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	120602031637.26782	8762874157318253.0

Results

26.0ms

144×

valid

Compiler

Compiled 124 to 109 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 12.0ms (57.5% of total)

ival-pow: 4.0ms (19.2% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-div: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% of total)

ival-mult: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.7639560946932105e-170	6.562279013413956e-169

Results

17.0ms

112×

valid

Compiler

Compiled 95 to 82 computations (13.7% saved)

Precisions

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

ival-sin: 6.0ms (52.9% of total)

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

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

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

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

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

const: 0.0ms (0% of total)

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

soundness5.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 413 to 153 computations (63% saved)

preprocess115.0ms (0.7%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1200 to 550 computations (54.2% saved)

Iter	Nodes	Cost
0	26	151
1	47	151
2	80	151
3	157	151
4	339	147
5	605	147
6	683	147
7	709	147
8	718	147
9	718	147
10	767	147
11	767	147
0	767	104

Iter	Nodes	Cost
0	26	151
1	47	151
2	80	151
3	157	151
4	339	147
5	605	147
6	683	147
7	709	147
8	718	147
9	718	147
10	767	147
11	767	147
0	767	104

analyze242.0ms (1.5%)

sample2.4s (14.1%)

preprocess74.0ms (0.4%)

explain280.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize161.0ms (1%)

series55.0ms (0.3%)

rewrite363.0ms (2.2%)

simplify1.1s (6.6%)

eval162.0ms (1%)

prune100.0ms (0.6%)

localize237.0ms (1.4%)

series53.0ms (0.3%)

rewrite556.0ms (3.3%)

simplify812.0ms (4.9%)

eval249.0ms (1.5%)

prune312.0ms (1.9%)

localize983.0ms (5.9%)

series103.0ms (0.6%)

rewrite620.0ms (3.7%)

simplify958.0ms (5.7%)

eval408.0ms (2.4%)

prune310.0ms (1.9%)

localize975.0ms (5.8%)

series51.0ms (0.3%)

rewrite686.0ms (4.1%)

simplify1.2s (6.9%)

eval208.0ms (1.2%)

prune270.0ms (1.6%)

regimes340.0ms (2%)

regimes228.0ms (1.4%)

regimes538.0ms (3.2%)

regimes60.0ms (0.4%)

regimes57.0ms (0.3%)

regimes265.0ms (1.6%)

regimes53.0ms (0.3%)

regimes267.0ms (1.6%)

regimes52.0ms (0.3%)

regimes99.0ms (0.6%)

regimes25.0ms (0.2%)

regimes18.0ms (0.1%)

regimes146.0ms (0.9%)

regimes369.0ms (2.2%)

regimes29.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch24.0ms (0.1%)

bsearch23.0ms (0.1%)

bsearch25.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

bsearch33.0ms (0.2%)

bsearch22.0ms (0.1%)

soundness5.0ms (0%)

preprocess115.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	151
1	47	151
2	80	151
3	157	151
4	339	147
5	605	147
6	683	147
7	709	147
8	718	147
9	718	147
10	767	147
11	767	147
0	767	104