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

analyze241.0ms (1.6%)

Memory

5.4MiB live, 323.9MiB allocated

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 18 to 14 computations (22.2% saved)

sample1.6s (10.1%)

Memory

10.8MiB live, 3 160.6MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 969.0ms

ival-sin: 599.0ms (61.8% of total)

ival-pow2: 162.0ms (16.7% of total)

ival-sqrt: 59.0ms (6.1% of total)

ival-mult: 55.0ms (5.7% of total)

ival-div: 49.0ms (5.1% of total)

ival-add: 37.0ms (3.8% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess72.0ms (0.5%)

Memory

5.9MiB live, 44.6MiB allocated

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

Call 2

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

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

explain198.0ms (1.3%)

Memory

-38.4MiB live, 413.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	1	(2.048599827444919e-158 1.2428910794558875e-186 5.314538879914588e-231)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	0	-	`(sin.f64 kx)`
0	-	0	-	`(sin.f64 th)`
0	-	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
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	-	`th`
0	-	0	-	`#s(literal 2 binary64)`
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	-	`(sin.f64 ky)`
0	-	0	-	`ky`
0	-	0	-	`kx`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	uflow-rescue	23	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	59
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	78
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	23

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

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

ival-sin: 33.0ms (57.8% of total)

ival-pow2: 10.0ms (17.5% of total)

ival-mult: 4.0ms (7% of total)

ival-div: 3.0ms (5.3% of total)

ival-sqrt: 3.0ms (5.3% of total)

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.9MiB live, 1.0MiB allocated
Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

90.8%

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

▶

99.6%

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	114
1	26	114
2	28	114
0	28	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (0.4%)

Memory

13.0MiB live, 130.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	91.3%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Samples

48.0ms

256×

valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sin: 17.0ms (47.8% of total)

ival-hypot: 5.0ms (14.1% of total)

ival-pow2: 4.0ms (11.3% of total)

ival-div: 3.0ms (8.4% of total)

ival-mult: 3.0ms (8.4% of total)

ival-sqrt: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory

-14.7MiB live, 63.9MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	th	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	0	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
3.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
2.0ms	kx	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite210.0ms (1.4%)

Memory

20.2MiB live, 411.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 082×	`-lowering-.f32`
2 082×	`-lowering-.f64`
1 740×	`accelerator-lowering-fma.f32`
1 740×	`accelerator-lowering-fma.f64`
1 708×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	99	90
2	688	90
0	9644	60

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 309

Calls

Call 1

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

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

simplify579.0ms (3.8%)

Memory

21.2MiB live, 1 009.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 724×	`accelerator-lowering-fma.f32`
15 724×	`accelerator-lowering-fma.f64`
6 532×	`-lowering-.f32`
6 532×	`-lowering-.f64`
5 854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	4617
1	1257	4476
2	4855	4298
0	8310	4013

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval74.0ms (0.5%)

Memory: -4.9MiB live, 184.5MiB allocated
Compiler: Compiled 13 836 to 1 529 computations (88.9% saved)

prune73.0ms (0.5%)

Memory

12.2MiB live, 179.8MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	617	19	636
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	617	21	638

Accuracy

99.9%

Counts

638 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	21.3%	(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
	80.6%	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	35.1%	(.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))
	36.3%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
✓	90.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	49.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	34.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	21.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	47.4%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
▶	52.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	57.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
▶	29.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	37.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	90.3%	(.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)))))))
	49.0%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
▶	29.2%	(sin.f64 th)

Compiler

Compiled 633 to 432 computations (31.8% saved)

simplify232.0ms (1.5%)

Memory

-18.1MiB live, 335.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5 770×	`-lowering-.f32`
5 770×	`-lowering-.f64`
2 076×	`/-lowering-/.f32`
2 076×	`/-lowering-/.f64`
1 888×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	210
1	57	210
2	101	204
3	205	204
4	331	204
5	488	204
6	835	204
7	1205	204
8	2468	204
9	3106	204
10	3585	204
11	3703	204
12	3884	204
13	4190	204
14	4648	204
15	5247	204
16	6779	204
17	6960	204
18	7069	204
19	7145	204
20	7218	204
21	7729	204
0	8031	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize157.0ms (1%)

Memory

6.5MiB live, 289.7MiB allocated

Localize:

Found 17 expressions of interest:

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

Samples

71.0ms

256×

valid

Compiler

Compiled 158 to 25 computations (84.2% saved)

Precisions

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

ival-sin: 16.0ms (30.3% of total)

ival-hypot: 13.0ms (24.7% of total)

ival-mult: 10.0ms (19% of total)

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

const: 4.0ms (7.6% of total)

ival-add: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory

1.4MiB live, 114.1MiB allocated

Counts

14 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
10.0ms	th	@	0	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
4.0ms	kx	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
2.0ms	ky	@	0	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th 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))))))
1.0ms	ky	@	inf	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite430.0ms (2.8%)

Memory

1.4MiB live, 723.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 036×	`/-lowering-/.f32`
5 036×	`/-lowering-/.f64`
4 884×	`-lowering-.f32`
4 884×	`-lowering-.f64`
2 616×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
1	158	142
2	1186	132
0	8164	94

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 445

Calls

Call 1

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

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

simplify532.0ms (3.5%)

Memory

32.9MiB live, 782.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 884×	`accelerator-lowering-fma.f32`
8 884×	`accelerator-lowering-fma.f64`
6 878×	`-lowering-.f32`
6 878×	`-lowering-.f64`
5 738×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	716	7534
1	2396	7037
2	6541	6897
0	8216	6487

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval115.0ms (0.8%)

Memory: 18.2MiB live, 247.4MiB allocated
Compiler: Compiled 21 289 to 2 080 computations (90.2% saved)

prune169.0ms (1.1%)

Memory

-21.9MiB live, 312.7MiB allocated

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	898	42	940
Fresh	8	6	14
Picked	2	3	5
Done	1	1	2
Total	909	52	961

Accuracy

100.0%

Counts

961 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	16.9%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
	52.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	34.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	31.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	57.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	52.1%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	29.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	94.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
	12.7%	(+.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 (.f64 kx kx) 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 kx) (sin.f64 ky))) (sin.f64 th))
	52.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
▶	57.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	54.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	34.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	95.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	47.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
	34.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	21.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	90.3%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
	34.3%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	24.0%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	15.2%	(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
	57.0%	(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
	15.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
	28.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
	28.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	31.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
	31.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
▶	31.4%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	29.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
▶	37.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	15.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.2%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
	29.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	99.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	29.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	21.3%	(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	52.0%	(.f64 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
	66.2%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	15.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	29.2%	(sin.f64 th)
▶	17.1%	th

Compiler

Compiled 1 630 to 1 089 computations (33.2% saved)

simplify58.0ms (0.4%)

Memory

-18.5MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

924×	`-lowering-.f32`
924×	`-lowering-.f64`
630×	`times-frac`
386×	`/-lowering-/.f32`
386×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	65	216
2	131	210
3	291	210
4	551	210
5	764	210
6	1131	210
7	1365	210
8	1476	210
9	1516	210
10	1525	210
11	1602	210
0	1602	149

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize170.0ms (1.1%)

Memory

-4.4MiB live, 190.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
✓	accuracy	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	95.4%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) kx))
✓	accuracy	93.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	accuracy	99.7%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))

Samples

129.0ms

256×

valid

Compiler

Compiled 169 to 27 computations (84% saved)

Precisions

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

const: 21.0ms (29.7% of total)

ival-sin: 16.0ms (22.6% of total)

ival-hypot: 13.0ms (18.4% of total)

ival-div: 10.0ms (14.1% of total)

ival-mult: 9.0ms (12.7% of total)

ival-add: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory

29.6MiB live, 67.4MiB allocated

Counts

16 → 360

Calls

Call 1

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

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ th (sin kx))>
#<alt (* th (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) kx)>
#<alt (/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx)>
#<alt (/ (+ (sin th) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)>
#<alt (/ (+ (sin th) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (sin th) (sin kx))>
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 4))))))>
#<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) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 6))) (* 3/8 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 4))))))))>
#<alt (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))))) kx)>
#<alt (* -1 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))))) kx))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow kx 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 5))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 7))) (* 3/8 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 5))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2)))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))))) kx)>
#<alt (* -1 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2)))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))))) kx))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 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 (/ (* (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 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 (/ 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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) ky)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))>
#<alt (/ (sin ky) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 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 (* -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 th)>
#<alt (/ (+ 1 (* 1/6 (pow th 2))) th)>
#<alt (/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)>
#<alt (/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>

Calls

90 calls:

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

rewrite381.0ms (2.5%)

Memory

-40.1MiB live, 695.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
4 786×	`/-lowering-/.f32`
4 786×	`/-lowering-/.f64`
2 664×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	146
1	190	146
2	1467	140
0	8336	102

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 623

Calls

Call 1

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

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

simplify542.0ms (3.5%)

Memory

51.2MiB live, 829.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 590×	`accelerator-lowering-fma.f32`
9 590×	`accelerator-lowering-fma.f64`
7 768×	`-lowering-.f32`
7 768×	`-lowering-.f64`
6 340×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	7871
1	2915	7457
2	7831	7457
0	8608	6840

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ th (sin kx))
(* th (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) kx)
(/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 4))))))
(+ (* 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) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 6))) (* 3/8 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 4))))))))
(/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) kx)
(/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))))) kx)
(* -1 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))))) kx))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow kx 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 5))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 7))) (* 3/8 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 5))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)
(/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))) kx)
(/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2)))))) kx)
(/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))))) kx)
(* -1 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2)))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* th (+ 1 (* -1/6 (pow th 2))))))) kx))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 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))
(/ (* (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 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)))))
(/ 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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))
(/ (sin ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* -1/6 (pow 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 th)
(/ (+ 1 (* 1/6 (pow th 2))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))

Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #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 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
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 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th 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)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
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(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
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(sin ky)
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(/ (sin th) (sin kx))
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(/ (sin th) (sin kx))
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(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) kx)
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) kx)))
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* 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)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (sin.f64 ky))))
(* 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))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow 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))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky))))) (.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)) (.f64 ky ky))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(/ 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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 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 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 7 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) ky)
(/.f64 (sin.f64 ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (.f64 ky ky))) (/.f64 (.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (.f64 ky ky))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64)))))))) ky)
(* -1 (/ (sin ky) ky))
(/.f64 (sin.f64 ky) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))))) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (.f64 ky ky))) (/.f64 (.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (.f64 ky ky))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64)))))))) (neg.f64 ky))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (.f64 ky ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) ky) (.f64 (sin.f64 ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (.f64 ky ky)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(* -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 th)
(/.f64 #s(literal 1 binary64) th)
(/ (+ 1 (* 1/6 (pow th 2))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) #s(literal 7/360 binary64))))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 th th) #s(literal 31/15120 binary64))))))) th)
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))

eval142.0ms (0.9%)

Memory: 11.3MiB live, 277.6MiB allocated
Compiler: Compiled 24 068 to 2 802 computations (88.4% saved)

prune212.0ms (1.4%)

Memory

-24.9MiB live, 339.2MiB allocated

Pruning

63 alts after pruning (56 fresh and 7 done)

	Pruned	Kept	Total
New	1 132	30	1 162
Fresh	17	26	43
Picked	2	3	5
Done	0	4	4
Total	1 151	63	1 214

Accuracy

100.0%

Counts

1 214 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	20.1%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	11.3%	(/.f64 (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
	16.9%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
	52.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
	34.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	18.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	31.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	54.9%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	37.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	52.1%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	29.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	37.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	99.4%	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	37.1%	(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
	52.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
	56.4%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
	12.7%	(+.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 (.f64 kx kx) 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 kx) (sin.f64 ky))) (sin.f64 th))
	52.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	28.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
▶	29.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶	34.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	47.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
	34.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	34.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
	16.6%	(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
	34.3%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	27.0%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
	16.3%	(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
	34.4%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
	37.1%	(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
	15.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
▶	28.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	31.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
	31.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	21.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	29.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	37.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	15.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	26.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	32.3%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	21.7%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	29.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	29.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	37.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	21.3%	(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
▶	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	52.0%	(.f64 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
	66.2%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	34.8%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	13.4%	(.f64 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
✓	29.2%	(sin.f64 th)
✓	17.1%	th

Compiler

Compiled 1 901 to 1 257 computations (33.9% saved)

simplify327.0ms (2.1%)

Memory

16.3MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 760×	`accelerator-lowering-fma.f32`
3 760×	`accelerator-lowering-fma.f64`
1 884×	`-lowering-.f32`
1 884×	`-lowering-.f64`
1 708×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	316
1	89	314
2	226	292
3	623	292
4	1472	292
5	2583	292
6	4104	292
7	4455	292
8	4628	292
9	4628	292
10	4628	292
11	5211	292
12	5629	292
13	5784	292
14	5807	292
15	5807	292
16	5807	292
17	5849	292
18	5849	292
19	6149	292
20	6445	292
21	6445	292
22	6445	292
23	6583	292
24	6662	292
25	6663	292
0	6663	206

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize418.0ms (2.7%)

Memory

-173.3MiB live, 273.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	93.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	accuracy	89.2%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 th))
✓	accuracy	99.8%	(/.f64 ky (sin.f64 kx))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
✓	accuracy	97.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))

Samples

367.0ms

256×

valid

Compiler

Compiled 245 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-sin: 302.0ms (87.3% of total)

ival-mult: 13.0ms (3.8% of total)

ival-div: 12.0ms (3.5% of total)

ival-hypot: 11.0ms (3.2% of total)

const: 5.0ms (1.4% of total)

ival-add: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory

24.3MiB live, 100.1MiB allocated

Counts

21 → 444

Calls

Call 1

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

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt 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 (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky kx)>
#<alt (/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (* ky 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))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ 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))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (/ (* th (sin ky)) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)>
#<alt (* -1 (/ (* th (sin ky)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))>
#<alt (/ (* th (sin ky)) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -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 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) ky)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))>
#<alt (/ (sin ky) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 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)))>
#<alt (/ (+ (* 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))>
#<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)))>
#<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)))) (pow ky 3)))>
#<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)) (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))))))>
#<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 (* (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 (/ (* 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)))))>
#<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) (+ 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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (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) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 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 (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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)))))))))) (* 1/2 (* 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 (* 6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 3)))>
#<alt (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4))))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* -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 (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 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 (* (+ 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 (* (+ 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 (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (* (* th (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ 1 ky)>
#<alt (/ (+ 1 (* 1/6 (pow ky 2))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 th)>
#<alt (/ (+ 1 (* 1/6 (pow th 2))) th)>
#<alt (/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)>
#<alt (/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (/ 1 (sin th))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>

Calls

111 calls:

Time	Variable		Point	Expression
16.0ms	kx	@	0	(* (/ (sin ky) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))) th)
3.0ms	kx	@	inf	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	kx	@	0	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	th	@	0	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
1.0ms	kx	@	-inf	(* (sin ky) (/ (* th (+ 1 (* -1/6 (* th th)))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))

rewrite401.0ms (2.6%)

Memory

32.6MiB live, 683.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 578×	`/-lowering-/.f32`
4 578×	`/-lowering-/.f64`
4 032×	`-lowering-.f32`
4 032×	`-lowering-.f64`
4 026×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	189
1	230	187
2	1840	177
0	8487	131

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 601

Calls

Call 1

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

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

simplify505.0ms (3.3%)

Memory

11.1MiB live, 955.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 900×	`accelerator-lowering-fma.f32`
7 900×	`accelerator-lowering-fma.f64`
7 014×	`-lowering-.f32`
7 014×	`-lowering-.f64`
6 338×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	938	9590
1	3060	8997
0	8262	8335

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
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 (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky th) (sin kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky kx)
(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* ky th) (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))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ 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))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(/ (* th (sin ky)) ky)
(/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)
(* -1 (/ (* th (sin ky)) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))
(/ (* th (sin ky)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -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 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))
(/ (sin ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 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)) (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)))))))))
(/ (* 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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (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) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (/ 1 (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) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 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)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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)))))))))) (* 1/2 (* 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)))
(* 6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 3)))
(/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow ky 4)))))) (pow ky 3)))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* -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 (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 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 (* (+ 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 (* (+ 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 (+ 1 (* -1/6 (pow th 2)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ 1 ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 th)
(/ (+ 1 (* 1/6 (pow th 2))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(/ 1 (sin th))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))

Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.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 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #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 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/6 binary64)) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 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)))))))))))))
(* (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))))) (sin.f64 th))
(* (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))))) (sin.f64 th))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
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(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
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(/ (* ky th) (sin kx))
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
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(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
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(/ ky (sin kx))
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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))))
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(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
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(sin kx)
(sin.f64 kx)
(sin kx)
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(sin kx)
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(/ (* 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))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
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(/ (* th (sin ky)) ky)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)
(/.f64 (+.f64 (.f64 th (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 th (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky) (/.f64 (sin.f64 ky) ky)))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)
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(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)
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(* -1 (/ (* th (sin ky)) ky))
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(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 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 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))
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(/ (* th (sin ky)) ky)
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(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -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 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 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 ky ky)))))
(/ 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))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 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 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 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 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 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 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (+.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 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) ky)
(/.f64 (sin.f64 ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))))) ky)
(* -1 (/ (sin ky) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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)) (pow ky 2)))))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))))) (-.f64 #s(literal 0 binary64) ky))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (.f64 ky ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -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) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky (sin.f64 ky)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (.f64 ky ky)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(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) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 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 1/16 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(.f64 ky (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(.f64 ky (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))))
(* -1 ky)
(-.f64 #s(literal 0 binary64) ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) (-.f64 #s(literal 0 binary64) ky))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+.f64 ky (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) ky))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 ky ky))) ky))) (/.f64 #s(literal 1/2 binary64) ky))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (.f64 ky ky))))) ky))))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(/ (* 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 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
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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)))))))) (* (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))))
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(* 6 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow ky 3)))
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(/ (+ (* 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))
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(/ (+ (* 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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(/ (+ (* 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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(* -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)))
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(* -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)))
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(* -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)))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
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(* -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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(* (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)))))))
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(* (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)))))))
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(* (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)))))))
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(* -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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(* -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)))))))))
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(* -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 #s(literal 0 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))))) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 ky)) (.f64 th th)) (.f64 #s(literal 1/6 binary64) (sin.f64 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 #s(literal 0 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))))) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 ky)) (.f64 th th)) (.f64 #s(literal 1/6 binary64) (sin.f64 ky))))))
(/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
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(* (* 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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(* (* 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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(* (* 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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(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
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(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 th)
(/.f64 #s(literal 1 binary64) th)
(/ (+ 1 (* 1/6 (pow th 2))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) #s(literal 7/360 binary64))))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 th th) #s(literal 31/15120 binary64))))))) th)
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(* -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))

eval166.0ms (1.1%)

Memory: -1.4MiB live, 327.6MiB allocated
Compiler: Compiled 30 474 to 3 064 computations (89.9% saved)

prune263.0ms (1.7%)

Memory

-14.6MiB live, 480.5MiB allocated

Pruning

95 alts after pruning (87 fresh and 8 done)

	Pruned	Kept	Total
New	1 296	45	1 341
Fresh	9	42	51
Picked	3	2	5
Done	1	6	7
Total	1 309	95	1 404

Accuracy

100.0%

Counts

1 404 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	29.1%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	52.5%	(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	13.6%	(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
	20.1%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	18.9%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	11.3%	(/.f64 (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
	16.9%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
	52.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
	31.9%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	18.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	15.0%	(/.f64 (*.f64 th (sin.f64 ky)) ky)
	22.9%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	54.9%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	37.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	52.1%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	29.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	37.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	37.1%	(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
	52.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	29.3%	(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
	4.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
	16.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
	56.4%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
	10.7%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
	12.7%	(+.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 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
	17.0%	(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
	18.8%	(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	19.9%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	27.8%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
	27.9%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
	52.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	28.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
	22.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
	4.0%	(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
	6.4%	(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
	21.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	9.8%	(*.f64 (/.f64 (sin.f64 ky) ky) th)
	36.4%	(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
	25.3%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	25.3%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	20.6%	(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
	20.7%	(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
	19.7%	(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
✓	34.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	20.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
	20.1%	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	25.7%	(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	34.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	34.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
	16.6%	(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
	27.0%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
	16.3%	(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
	4.9%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	27.2%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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))))
	27.8%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	37.1%	(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
	15.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
	31.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
	31.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	21.3%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	29.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	37.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	15.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	26.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	32.3%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	21.7%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	29.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	29.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	37.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	16.6%	(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
	17.0%	(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
	52.0%	(.f64 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
	16.2%	(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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)))))))
	6.6%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	10.1%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	28.1%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	66.2%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	34.8%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.0%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	13.4%	(.f64 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
	10.1%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	29.2%	(sin.f64 th)
✓	17.1%	th

Compiler

Compiled 3 655 to 1 480 computations (59.5% saved)

regimes418.0ms (2.7%)

Memory

11.4MiB live, 588.5MiB allocated

Counts

138 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (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 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))

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

Calls

9 calls:

68.0ms	(sin.f64 ky)
45.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
45.0ms	th
44.0ms	ky
40.0ms	(/.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)))))

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes345.0ms (2.3%)

Memory

-16.4MiB live, 424.6MiB allocated

Counts

125 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

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

Calls

7 calls:

65.0ms	th
59.0ms	(sin.f64 ky)
49.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
45.0ms	(sin.f64 th)
38.0ms	(sin.f64 kx)

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes390.0ms (2.5%)

Memory

-0.8MiB live, 474.6MiB allocated

Counts

123 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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

Calls

7 calls:

135.0ms	th
47.0ms	kx
38.0ms	(sin.f64 ky)
37.0ms	(sin.f64 th)
33.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes336.0ms (2.2%)

Memory

35.9MiB live, 584.6MiB allocated

Counts

122 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))

Outputs

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

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

Calls

7 calls:

70.0ms	(sin.f64 ky)
48.0ms	th
39.0ms	(sin.f64 th)
36.0ms	(sin.f64 kx)
36.0ms	ky

Results

Accuracy	Segments	Branch
76.6%	2	`kx`
87.0%	2	`th`
76.6%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
87.0%	3	`(sin.f64 th)`
80.5%	2	`ky`
82.9%	3	`(sin.f64 ky)`
77.6%	3	`(sin.f64 kx)`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes48.0ms (0.3%)

Memory

14.0MiB live, 91.3MiB allocated

Counts

118 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Outputs

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

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

Calls

1 calls:

34.0ms

th

Results

Accuracy	Segments	Branch
87.0%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes83.0ms (0.5%)

Memory

-26.6MiB live, 92.0MiB allocated

Counts

117 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))

Outputs

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

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

Calls

1 calls:

55.0ms

th

Results

Accuracy	Segments	Branch
87.0%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes61.0ms (0.4%)

Memory

8.3MiB live, 83.7MiB allocated

Counts

116 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))) (sin.f64 th))
(.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 kx) (sin.f64 ky))) th)
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))

Calls

1 calls:

32.0ms

th

Results

Accuracy	Segments	Branch
86.9%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes69.0ms (0.4%)

Memory

21.4MiB live, 63.8MiB allocated

Counts

101 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

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

Calls

1 calls:

56.0ms

th

Results

Accuracy	Segments	Branch
86.9%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes194.0ms (1.3%)

Memory

-58.4MiB live, 366.1MiB allocated

Counts

98 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (.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)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.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)))))))))

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

Calls

6 calls:

41.0ms	(sin.f64 th)
33.0ms	kx
28.0ms	ky
27.0ms	th
27.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
66.2%	1	`(sin.f64 kx)`
66.2%	1	`kx`
70.9%	2	`ky`
74.0%	3	`(sin.f64 ky)`
70.9%	3	`(sin.f64 th)`
70.9%	2	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes31.0ms (0.2%)

Memory

32.7MiB live, 71.2MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))

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

Calls

1 calls:

22.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
71.0%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes173.0ms (1.1%)

Memory

8.4MiB live, 166.2MiB allocated

Counts

74 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))

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

Calls

6 calls:

39.0ms	ky
37.0ms	(sin.f64 ky)
25.0ms	kx
23.0ms	th
20.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
52.0%	4	`kx`
55.5%	5	`(sin.f64 kx)`
53.8%	4	`(sin.f64 th)`
51.9%	2	`ky`
51.9%	2	`th`
53.2%	2	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes32.0ms (0.2%)

Memory

-24.5MiB live, 54.7MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))

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

Calls

1 calls:

20.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
53.1%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes42.0ms (0.3%)

Memory

9.3MiB live, 47.4MiB allocated

Counts

69 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))

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

Calls

1 calls:

34.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
53.1%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes107.0ms (0.7%)

Memory

-15.9MiB live, 115.6MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (sin.f64 th) (sin.f64 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)
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky kx)))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx))) th)
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(+.f64 (.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 (.f64 kx kx) 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 (.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))))

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

Calls

3 calls:

56.0ms	(sin.f64 ky)
23.0ms	th
20.0ms	ky

Results

Accuracy	Segments	Branch
51.9%	2	`ky`
52.9%	3	`th`
51.9%	2	`(sin.f64 ky)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes20.0ms (0.1%)

Memory

6.7MiB live, 45.2MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)

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

Calls

1 calls:

14.0ms

ky

Results

Accuracy	Segments	Branch
51.9%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

12.0MiB live, 48.5MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))

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

Calls

1 calls:

14.0ms

ky

Results

Accuracy	Segments	Branch
51.9%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes78.0ms (0.5%)

Memory

-0.7MiB live, 153.8MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (-.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 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 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx))) kx) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (/.f64 th kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64)))) (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) ky) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) ky)) th)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 th kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.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 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (neg.f64 kx))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 th th) #s(literal 7/360 binary64))))) th)))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) #s(literal -1/2 binary64))) 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) (.f64 ky ky)))) (*.f64 ky ky))))) ky))))))) th)

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

Calls

6 calls:

14.0ms	ky
14.0ms	th
12.0ms	(sin.f64 kx)
12.0ms	kx
11.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
41.3%	3	`kx`
33.6%	3	`(sin.f64 th)`
41.7%	4	`(sin.f64 kx)`
32.1%	2	`th`
44.1%	2	`(sin.f64 ky)`
44.1%	2	`ky`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes26.0ms (0.2%)

Memory

5.1MiB live, 47.0MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	(sin.f64 ky)
9.0ms	ky

Results

Accuracy	Segments	Branch
44.1%	2	`ky`
44.0%	2	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.1%)

Memory

-17.6MiB live, 21.1MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

ky

Results

Accuracy	Segments	Branch
41.2%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.1%)

Memory

5.4MiB live, 42.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
38.0%	3	`(sin.f64 kx)`
37.3%	2	`kx`
37.6%	2	`ky`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

ky

Results

Accuracy	Segments	Branch
37.5%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-6.5MiB live, 31.8MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	ky
5.0ms	kx

Results

Accuracy	Segments	Branch
33.6%	2	`kx`
34.9%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Memory

8.5MiB live, 49.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	ky
5.0ms	kx
5.0ms	th

Results

Accuracy	Segments	Branch
17.1%	1	`th`
23.8%	2	`kx`
26.1%	2	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 17.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	ky
3.0ms	kx

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

2 calls:

1.0ms	ky
1.0ms	kx

Results

Accuracy	Segments	Branch
17.1%	1	`ky`
17.1%	1	`kx`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch26.0ms (0.2%)

Memory

15.6MiB live, 53.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.137974231249786e-7	10.878371162517471

Samples

19.0ms

144×

valid

Compiler

Compiled 337 to 234 computations (30.6% saved)

Precisions

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

ival-sin: 8.0ms (53% of total)

ival-pow2: 3.0ms (19.9% of total)

ival-mult: 2.0ms (13.2% of total)

ival-div: 1.0ms (6.6% of total)

ival-add: 1.0ms (6.6% of total)

ival-sqrt: 1.0ms (6.6% of total)

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

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

bsearch26.0ms (0.2%)

Memory

7.9MiB live, 45.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.137974231249786e-7	10.878371162517471

Samples

18.0ms

144×

valid

Compiler

Compiled 337 to 234 computations (30.6% saved)

Precisions

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

ival-sin: 7.0ms (55.1% of total)

ival-pow2: 2.0ms (15.7% of total)

ival-div: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

ival-sqrt: 1.0ms (7.9% of total)

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

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

bsearch62.0ms (0.4%)

Memory

-38.0MiB live, 47.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	5.137974231249786e-7	10.878371162517471

Samples

37.0ms

144×

valid

Compiler

Compiled 337 to 234 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 21.0ms (63.2% of total)

ival-sin: 7.0ms (21.1% of total)

ival-pow2: 2.0ms (6% of total)

ival-div: 1.0ms (3% of total)

ival-mult: 1.0ms (3% of total)

ival-sqrt: 1.0ms (3% of total)

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

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

bsearch26.0ms (0.2%)

Memory

19.8MiB live, 57.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.137974231249786e-7	10.878371162517471

Samples

19.0ms

144×

valid

Compiler

Compiled 265 to 180 computations (32.1% saved)

Precisions

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

ival-sin: 8.0ms (58.7% of total)

ival-pow2: 3.0ms (22% of total)

ival-div: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

ival-mult: 1.0ms (7.3% of total)

ival-sqrt: 1.0ms (7.3% of total)

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

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

bsearch29.0ms (0.2%)

Memory

-21.1MiB live, 60.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.137974231249786e-7	10.878371162517471

Samples

19.0ms

144×

valid

Compiler

Compiled 265 to 180 computations (32.1% saved)

Precisions

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

ival-sin: 9.0ms (60.7% of total)

ival-pow2: 3.0ms (20.2% of total)

ival-div: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

ival-mult: 1.0ms (6.7% of total)

ival-sqrt: 1.0ms (6.7% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005363964046462129	0.035626738433471944
0.0ms	-0.0117547431288261	1.2035832587968807e-305

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005363964046462129	0.035626738433471944

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch13.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.339146555792769e-30	2.4618470003539318e-29

Samples

9.0ms

80×

valid

Compiler

Compiled 107 to 83 computations (22.4% saved)

Precisions

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

ival-sin: 4.0ms (57.9% of total)

ival-sqrt: 1.0ms (14.5% of total)

ival-pow2: 1.0ms (14.5% of total)

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

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

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

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

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

bsearch35.0ms (0.2%)

Memory

-11.0MiB live, 26.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	9.339146555792769e-30	2.4618470003539318e-29

Samples

31.0ms

80×

valid

Compiler

Compiled 107 to 83 computations (22.4% saved)

Precisions

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

ival-sin: 4.0ms (57% of total)

ival-sqrt: 1.0ms (14.2% of total)

ival-pow2: 1.0ms (14.2% of total)

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

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

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

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

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

bsearch27.0ms (0.2%)

Memory

-9.9MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	9.339146555792769e-30	2.4618470003539318e-29

Samples

9.0ms

80×

valid

Compiler

Compiled 107 to 83 computations (22.4% saved)

Precisions

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

ival-sin: 4.0ms (54.9% of total)

ival-sqrt: 1.0ms (13.7% of total)

ival-pow2: 1.0ms (13.7% of total)

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

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

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

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2201684989230785e-88	5.927367319557051e-81

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch48.0ms (0.3%)

Memory

-7.4MiB live, 29.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

16.0ms

144×

valid

Compiler

Compiled 202 to 153 computations (24.3% saved)

Precisions

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

ival-sin: 7.0ms (55.5% of total)

ival-pow2: 2.0ms (15.9% of total)

ival-div: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

ival-sqrt: 1.0ms (7.9% of total)

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

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

bsearch23.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

16.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-sin: 6.0ms (49.2% of total)

ival-pow2: 3.0ms (24.6% 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)

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

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

bsearch27.0ms (0.2%)

Memory

-9.9MiB live, 32.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

17.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-sin: 7.0ms (52.6% of total)

ival-pow2: 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)

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

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

bsearch44.0ms (0.3%)

Memory

1.2MiB live, 40.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

37.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-sin: 7.0ms (55.1% of total)

ival-pow2: 2.0ms (15.8% of total)

ival-div: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

ival-sqrt: 1.0ms (7.9% of total)

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

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

bsearch55.0ms (0.4%)

Memory

0.8MiB live, 38.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

48.0ms

144×

valid

Compiler

Compiled 229 to 171 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sin: 38.0ms (86.3% of total)

ival-pow2: 3.0ms (6.8% of total)

ival-div: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

ival-mult: 1.0ms (2.3% of total)

ival-sqrt: 1.0ms (2.3% of total)

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

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

bsearch25.0ms (0.2%)

Memory

19.4MiB live, 57.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.927367319557051e-81	8.170115595886001e-76

Samples

18.0ms

144×

valid

Compiler

Compiled 220 to 162 computations (26.4% saved)

Precisions

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

ival-sin: 7.0ms (48.2% of total)

ival-pow2: 3.0ms (20.6% of total)

ival-sqrt: 2.0ms (13.8% of total)

ival-div: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

ival-mult: 1.0ms (6.9% of total)

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

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

bsearch22.0ms (0.1%)

Memory

-25.3MiB live, 54.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	11830.230420776366	119948.92375220751

Samples

16.0ms

96×

valid

Compiler

Compiled 118 to 90 computations (23.7% saved)

Precisions

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

ival-sin: 9.0ms (66.9% of total)

ival-pow2: 2.0ms (14.9% of total)

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

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

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

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

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

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

simplify13.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	441
1	158	441

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 8762203435012037/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 2132904783522667/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 7032821178101767/576460752303423488 binary64)) (.f64 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 2582544170319337/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5534023222112865/2305843009213693952 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6993513694259203/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7493050386706289/713623846352979940529142984724747568191373312 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8958978968711217/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8063081071840095/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) kx) (sin.f64 th))
(if (<=.f64 ky #s(literal 5599361855444511/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) th) (sin.f64 th))
(if (<=.f64 ky #s(literal 7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8779799389336993/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx)) th)
(if (<=.f64 kx #s(literal 12000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 8762203435012037/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 2132904783522667/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 7032821178101767/576460752303423488 binary64)) (.f64 th (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 7032821178101767/576460752303423488 binary64)) (.f64 th (.f64 (sin.f64 ky) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 2582544170319337/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 2582544170319337/73786976294838206464 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5534023222112865/2305843009213693952 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6993513694259203/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6993513694259203/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 7493050386706289/713623846352979940529142984724747568191373312 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8958978968711217/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (/.f64 ky kx) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8958978968711217/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8063081071840095/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) kx) (sin.f64 th))
(if (<=.f64 ky #s(literal 8063081071840095/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (*.f64 (sin.f64 th) ky) kx) (sin.f64 th))
(if (<=.f64 ky #s(literal 5599361855444511/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) th) (sin.f64 th))
(if (<=.f64 ky #s(literal 5599361855444511/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 th (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8779799389336993/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 ky kx)) th)
(if (<=.f64 kx #s(literal 12000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

soundness3.6s (23.5%)

Memory

21.6MiB live, 4 998.1MiB allocated

Rules

15 724×	`accelerator-lowering-fma.f32`
15 724×	`accelerator-lowering-fma.f64`
9 590×	`accelerator-lowering-fma.f32`
9 590×	`accelerator-lowering-fma.f64`
8 884×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
1	158	142
2	1186	132
0	8164	94
0	716	7534
1	2396	7037
2	6541	6897
0	8216	6487
0	13	16
1	19	16
2	23	16
3	24	16
0	24	11
0	390	4617
1	1257	4476
2	4855	4298
0	8310	4013
0	879	7871
1	2915	7457
2	7831	7457
0	8608	6840
0	938	9590
1	3060	8997
0	8262	8335

Stop Event

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

Compiler

Compiled 2 084 to 1 229 computations (41% saved)

preprocess172.0ms (1.1%)

Memory

-12.4MiB live, 383.4MiB allocated

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1 178 to 442 computations (62.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated