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

analyze215.0ms (1.6%)

Memory

16.8MiB live, 412.6MiB 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)

sample1.5s (10.7%)

Memory

22.9MiB live, 2 952.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 924.0ms

ival-sin: 549.0ms (59.4% of total)

ival-pow2: 153.0ms (16.6% of total)

ival-div: 63.0ms (6.8% of total)

ival-sqrt: 57.0ms (6.2% of total)

ival-mult: 49.0ms (5.3% of total)

ival-add: 45.0ms (4.9% of total)

ival-true: 5.0ms (0.5% of total)

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

Bogosity

preprocess74.0ms (0.5%)

Memory

16.4MiB live, 55.3MiB 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)

explain195.0ms (1.4%)

Memory

-8.6MiB live, 430.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
11	-	1	(2.8028734788077086e-156 1.7972624396331433e-162 1.4913151044604912e-120)	`(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	10	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	59
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	57
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	10

Confusion

	Predicted +	Predicted -
+	10	1
-	0	245

Precision

1.0

Recall

0.9090909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	1
-	0	0	245

Precision?

1.0

Recall?

0.9090909090909091

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

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

ival-sin: 34.0ms (54.7% of total)

ival-pow2: 9.0ms (14.5% of total)

ival-add: 8.0ms (12.9% of total)

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

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

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

ival-true: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(*.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))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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))))

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	13	66
1	19	66
2	23	66
3	24	66
0	24	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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))))
(/ (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

localize54.0ms (0.4%)

Memory

-6.2MiB live, 109.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	96.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

36.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sin: 15.0ms (58.3% of total)

ival-pow2: 4.0ms (15.6% of total)

ival-sqrt: 2.0ms (7.8% of total)

ival-div: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

ival-mult: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-5.5MiB live, 73.0MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<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 (sin ky)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin kx) 2)>

Outputs
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* 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 (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	ky	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
4.0ms	ky	@	0	(pow (sin ky) 2)
2.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	kx	@	inf	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))

rewrite356.0ms (2.6%)

Memory

7.1MiB live, 675.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`accelerator-lowering-fma.f32`
4 346×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
2 248×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 294

Calls

Call 1

Inputs
(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))))
(sin ky)
(pow (sin ky) 2)
(pow (sin kx) 2)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64)) (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (sqrt.f64 (.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 12 binary64)) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
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(.f64 (/.f64 (sqrt.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 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64))) (/.f64 (sqrt.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 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(sin.f64 ky)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(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 #s(literal 2 binary64) ky)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(*.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 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.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 kx #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))

simplify893.0ms (6.5%)

Memory

-111.0MiB live, 1 127.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
6 260×	`-lowering-.f32`
6 260×	`-lowering-.f64`
5 352×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2263
1	1011	2214
2	3860	2122
3	7803	2122
0	8106	1974

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ (* 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)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)

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

eval59.0ms (0.4%)

Memory: 20.6MiB live, 176.3MiB allocated
Compiler: Compiled 11 761 to 1 743 computations (85.2% saved)

prune118.0ms (0.9%)

Memory

-15.9MiB live, 180.6MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	430	20	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	431	20	451

Accuracy

100.0%

Counts

451 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	30.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	24.6%	(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	75.6%	(.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 #s(literal 2 binary64) ky))))) #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 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64))))
▶	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	75.8%	(.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 #s(literal 2 binary64) ky))))) #s(literal 1/2 binary64))) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	44.8%	(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
	34.6%	(.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))
	31.4%	(.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))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	30.4%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	97.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
	99.4%	(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
▶	24.6%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	49.4%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	72.8%	(*.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))) (sin.f64 th))
▶	30.3%	(sin.f64 th)

Compiler

Compiled 728 to 470 computations (35.4% saved)

simplify37.0ms (0.3%)

Memory

10.5MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

714×	`-lowering-.f32`
714×	`-lowering-.f64`
664×	`times-frac`
312×	`associate-r`
262×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	220
1	50	220
2	92	220
3	186	220
4	475	220
5	899	220
6	1049	220
7	1071	220
8	1107	220
9	1110	220
10	1110	220
0	1110	164

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize109.0ms (0.8%)

Memory

-21.4MiB live, 252.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.5%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
✓	accuracy	100.0%	(.f64 (.f64 kx kx) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	93.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
✓	accuracy	88.2%	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Samples

69.0ms

256×

valid

Compiler

Compiled 170 to 26 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sin: 21.0ms (42.5% of total)

ival-mult: 11.0ms (22.3% of total)

ival-hypot: 7.0ms (14.2% of total)

ival-div: 6.0ms (12.2% of total)

ival-pow2: 2.0ms (4.1% of total)

ival-add: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

28.3MiB live, 69.3MiB allocated

Counts

17 → 408

Calls

Call 1

Inputs
#<alt (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin th)>
#<alt (* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))>
#<alt (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2)))>
#<alt (/ (* (* kx kx) -1/2) (pow (sin ky) 2))>
#<alt (* (* kx kx) -1/2)>
#<alt (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky))>
#<alt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))>
#<alt (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (sin kx)>
#<alt (pow (sin ky) 2)>
#<alt (* (sin ky) (sin 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 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)))>
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#<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) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
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#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))>
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#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))>
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#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt 1>
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#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
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#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
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#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* 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)))))>
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#<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)))))>
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#<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)))))>
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#<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)))>
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#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
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#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
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#<alt (sin th)>
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#<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)))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 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 (* (* (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)))))>
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#<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))))))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ 1 (sin ky))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
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#<alt (/ 1 (sin kx))>
#<alt (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (* ky (sin th))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>

Calls

102 calls:

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

rewrite434.0ms (3.2%)

Memory

-12.1MiB live, 776.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 626×	`/-lowering-/.f32`
4 626×	`/-lowering-/.f64`
4 620×	`accelerator-lowering-fma.f32`
4 620×	`accelerator-lowering-fma.f64`
4 122×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	163
1	150	162
2	1110	162
0	8228	121

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 821

Calls

Call 1

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

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

simplify594.0ms (4.3%)

Memory

13.1MiB live, 986.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 496×	`accelerator-lowering-fma.f32`
13 496×	`accelerator-lowering-fma.f64`
9 060×	`-lowering-.f32`
9 060×	`-lowering-.f64`
3 956×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	555	7858
1	1848	7535
2	7210	7404
0	8253	6952

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval181.0ms (1.3%)

Memory: 3.3MiB live, 419.5MiB allocated
Compiler: Compiled 32 735 to 2 661 computations (91.9% saved)

prune257.0ms (1.9%)

Memory

7.9MiB live, 449.7MiB allocated

Pruning

55 alts after pruning (52 fresh and 3 done)

	Pruned	Kept	Total
New	1 456	48	1 504
Fresh	11	4	15
Picked	2	3	5
Done	0	0	0
Total	1 469	55	1 524

Accuracy

100.0%

Counts

1 524 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
	97.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	3.0%	(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	13.9%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
	75.7%	(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
	34.0%	(.f64 (/.f64 (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)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	2.8%	(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
	16.7%	(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
	15.4%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
	15.2%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
	51.9%	(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	51.8%	(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	51.9%	(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
▶	51.5%	(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	57.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 ky))) (sin.f64 ky))
	57.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
	57.5%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	53.0%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
	57.7%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
	30.3%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	33.1%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	75.8%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (sin.f64 th))
	52.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
	99.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	52.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
▶	57.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	53.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	44.8%	(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	52.1%	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	30.4%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	55.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
	50.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
	50.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
	49.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
	55.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	32.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	27.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
	16.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
▶	15.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
	26.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
	14.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
	99.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	18.1%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
	18.2%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	30.3%	(sin.f64 th)
▶	18.3%	th

Compiler

Compiled 2 091 to 1 362 computations (34.9% saved)

simplify221.0ms (1.6%)

Memory

-2.9MiB live, 254.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3 056×	`accelerator-lowering-fma.f32`
3 056×	`accelerator-lowering-fma.f64`
2 906×	`-lowering-.f32`
2 906×	`-lowering-.f64`
1 844×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	285
1	78	285
2	190	279
3	470	279
4	941	279
5	1668	279
6	2659	279
7	3640	279
8	4082	279
9	4571	279
10	5226	279
11	5295	279
12	5396	279
13	5566	279
14	5580	279
15	5652	279
16	5652	279
17	5652	279
18	6178	279
19	6845	279
0	6845	216

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

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

localize126.0ms (0.9%)

Memory

8.0MiB live, 241.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.8%	(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 ky ky) #s(literal 1/120 binary64))
✓	accuracy	98.0%	(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
✓	accuracy	100.0%	(.f64 (.f64 kx kx) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	93.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
✓	accuracy	88.2%	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Samples

80.0ms

256×

valid

Compiler

Compiled 236 to 33 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sin: 19.0ms (32.5% of total)

ival-mult: 12.0ms (20.5% of total)

ival-div: 7.0ms (12% of total)

ival-hypot: 7.0ms (12% of total)

const: 6.0ms (10.3% of total)

ival-add: 3.0ms (5.1% of total)

ival-pow2: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory

-17.8MiB live, 97.3MiB allocated

Counts

20 → 420

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

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 th>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) th) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (* th (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* th (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* th (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (+ (* th (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* th (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* th (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -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 (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt (/ (* 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))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) (pow (sin ky) 3))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* th (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (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))))))) (* 1/240 (/ 1 (pow (sin kx) 3))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (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) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* 1/120 (pow ky 5))>
#<alt (* (pow ky 5) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* 1/120 (pow ky 5))>
#<alt (* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) 1/120)))>
#<alt (* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))>
#<alt (* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))>
#<alt (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))>
#<alt (* 1/120 (pow ky 4))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* 1/120 (pow ky 4))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* 1/120 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))>
#<alt (* 1/120 (pow ky 4))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* 1/120 (pow ky 4))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))>

Calls

105 calls:

Time	Variable		Point	Expression
8.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))) (sin th))
5.0ms	ky	@	inf	(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
3.0ms	ky	@	0	(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
3.0ms	kx	@	0	(/ (* ky (+ 1 (* (* ky ky) (+ -1/6 (* (* ky ky) 1/120))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
1.0ms	kx	@	inf	(* (/ (* ky (+ 1 (* (* ky ky) (+ -1/6 (* (* ky ky) 1/120))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))

rewrite510.0ms (3.7%)

Memory

2.4MiB live, 562.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 422×	`-lowering-.f32`
4 422×	`-lowering-.f64`
4 144×	`/-lowering-/.f32`
4 144×	`/-lowering-/.f64`
4 124×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
1	202	225
2	1669	219
0	8124	168

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 541

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

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

simplify707.0ms (5.1%)

Memory

0.8MiB live, 637.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 450×	`accelerator-lowering-fma.f32`
9 450×	`accelerator-lowering-fma.f64`
7 206×	`-lowering-.f32`
7 206×	`-lowering-.f64`
6 474×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	868	8911
1	2892	8585
2	7833	8585
0	8306	7921

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (/ th (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) th) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (* th (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* th (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* th (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) th)) (* (pow ky 2) (+ (* th (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* th (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* th (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -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 (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(/ (* 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))))))))))))) (/ (sin th) (sin kx))))
(* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow ky 5) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) (pow (sin ky) 3))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* th (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (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))))))) (* 1/240 (/ 1 (pow (sin kx) 3))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow ky 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (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) (- (* 1/120 (pow ky 2)) 1/6))))
(* 1/120 (pow ky 5))
(* (pow ky 5) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(* 1/120 (pow ky 5))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) 1/120)))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))
1
(+ 1 (* -1/6 (pow ky 2)))
(+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))
(+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))
(* 1/120 (pow ky 4))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(* 1/120 (pow ky 4))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* 1/120 (pow ky 2))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(* 1/120 (pow ky 4))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* 1/120 (pow ky 4))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (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))
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th
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1
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
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(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
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(* -1 (/ (* (sin ky) (sin th)) kx))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* 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)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (+.f64 (.f64 #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 kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (+.f64 (.f64 #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 kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(/ ky kx)
(/.f64 ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -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 (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx)))) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) kx) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx kx))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) kx) (/.f64 #s(literal 1/240 binary64) (.f64 kx (.f64 kx kx))))))) (/.f64 #s(literal 1/120 binary64) kx)))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
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) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (-.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -5/16 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)) (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 kx #s(literal 6 binary64))))))) kx)
(* -1 (/ (sin ky) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)) (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 kx #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx))) (/.f64 (.f64 ky ky) kx))) (/.f64 #s(literal 1/2 binary64) kx))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (.f64 kx kx))))) kx))))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(.f64 kx (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64)))))))
(* -1 kx)
(-.f64 #s(literal 0 binary64) kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
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(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* -1/240 (/ (sin th) (pow (sin kx) 3))))))))))))) (/ (sin th) (sin kx))))
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(* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* (pow ky 5) (+ (* -1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* 1/120 (* (* (pow ky 5) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (* (pow ky 5) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(* -1 (* (pow ky 5) (+ (* -1 (* (/ (sin th) (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky))
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(+ (* -1/2 (/ (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) (pow (sin ky) 3))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sin ky)))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* th (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(* th (+ (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))))
(* (* ky (* (sin th) (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))))
(/ ky (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))))
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(* 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))))))) (* 1/240 (/ 1 (pow (sin kx) 3))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* (pow ky 5) (+ (* -1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* 1/120 (* (pow ky 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* -1 (* (pow ky 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 ky ky)))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.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 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 ky ky)))) (/.f64 (sqrt.f64 (/.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.f64 ky #s(literal 4 binary64)))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
(* -1 (* (pow ky 5) (+ (* -1 (* (/ 1 (pow ky 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.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 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 ky ky)))) (/.f64 (sqrt.f64 (/.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.f64 ky #s(literal 4 binary64)))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
(/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky))
(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(+.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(+.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))) (/.f64 ky (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 ky (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (+.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 (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sin ky)))
(+.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))) (/.f64 ky (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) ky) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (+.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) ky) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (+.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)))))))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* 1/120 (pow ky 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64)))
(* (pow ky 5) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))
(* (pow ky 5) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))
(* 1/120 (pow ky 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64)))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) 1/120)))
(.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 ky ky))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))
(.f64 (+.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 ky ky))) (/.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 4 binary64)))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
(* -1 (* (pow ky 5) (- (* 1/6 (/ 1 (pow ky 2))) (+ 1/120 (/ 1 (pow ky 4))))))
(.f64 (+.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 ky ky))) (/.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 4 binary64)))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow ky 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))
(+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))
(+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))
(* 1/120 (pow ky 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 4 binary64)))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))
(* 1/120 (pow ky 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 4 binary64)))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))
(* (pow ky 4) (- (+ 1/120 (/ 1 (pow ky 4))) (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 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)
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/3 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) #s(literal 2/45 binary64))))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 ky ky) #s(literal -1/315 binary64))))))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* 1/120 (pow ky 2))
(.f64 #s(literal 1/120 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))
(* 1/120 (pow ky 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 4 binary64)))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* 1/120 (pow ky 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 4 binary64)))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(* (pow ky 4) (- 1/120 (* 1/6 (/ 1 (pow ky 2)))))
(.f64 (pow.f64 ky #s(literal 4 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 ky ky))))

eval202.0ms (1.5%)

Memory: 31.1MiB live, 220.3MiB allocated
Compiler: Compiled 30 105 to 3 188 computations (89.4% saved)

prune286.0ms (2.1%)

Memory

-32.8MiB live, 291.4MiB allocated

Pruning

72 alts after pruning (67 fresh and 5 done)

	Pruned	Kept	Total
New	1 109	39	1 148
Fresh	19	28	47
Picked	3	2	5
Done	0	3	3
Total	1 131	72	1 203

Accuracy

100.0%

Counts

1 203 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
	7.4%	(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
	49.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.8%	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
	97.8%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	56.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
	51.9%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	52.0%	(/.f64 (.f64 th (+.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)))
	20.2%	(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
	30.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	3.0%	(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
	75.8%	(/.f64 (sin.f64 th) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (sin.f64 ky)))
	57.5%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))) (sin.f64 ky)))
▶	57.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
	34.0%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))))
	53.0%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	31.4%	(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
	75.8%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
	33.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	30.4%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	52.2%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
	2.8%	(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
	15.2%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
	10.0%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
	9.9%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
	51.9%	(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	52.7%	(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
	51.0%	(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
	51.2%	(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	30.0%	(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
	2.6%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
	57.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	53.0%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
	30.3%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	33.1%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	99.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	52.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
✓	57.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	32.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
▶	34.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
	44.8%	(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	21.8%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	52.1%	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	30.4%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	20.8%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	55.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
	50.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
	50.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
	49.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	32.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	27.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
	9.6%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
▶	16.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
	15.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) th)
	15.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
	14.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
	9.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
	57.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
	14.8%	(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
	21.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	18.1%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
▶	18.2%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	20.8%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	51.5%	(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
✓	30.3%	(sin.f64 th)
✓	18.3%	th

Compiler

Compiled 2 814 to 1 797 computations (36.1% saved)

simplify481.0ms (3.5%)

Memory

13.6MiB live, 796.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

18 384×	`accelerator-lowering-fma.f32`
18 384×	`accelerator-lowering-fma.f64`
5 330×	`-lowering-.f32`
5 330×	`-lowering-.f64`
3 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	330
1	101	330
2	246	314
3	664	314
4	1765	314
5	3175	308
6	5016	302
7	6335	302
8	6987	302
9	7147	302
10	7254	302
0	8653	219

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize181.0ms (1.3%)

Memory

21.6MiB live, 255.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky))
✓	accuracy	99.9%	(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
✓	accuracy	99.4%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	99.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 ky kx))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	93.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
✓	accuracy	86.9%	(.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))
✓	accuracy	67.4%	(/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (*.f64 ky ky))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.6%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Samples

97.0ms

256×

valid

Compiler

Compiled 254 to 35 computations (86.2% saved)

Precisions

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

ival-sin: 32.0ms (42.4% of total)

ival-mult: 15.0ms (19.9% of total)

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

ival-div: 8.0ms (10.6% of total)

const: 5.0ms (6.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series89.0ms (0.6%)

Memory

-18.4MiB live, 150.1MiB allocated

Counts

23 → 492

Calls

Call 1

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

Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (sin kx) (sin th))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (sin ky) (sin th))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (* -1/6 (pow kx 2))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))>
#<alt (+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))>
#<alt (+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))>
#<alt (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (* (sin th) (+ 1 (* -1/6 (pow kx 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* (sin th) (+ 1 (* -1/6 (pow kx 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* th (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* th (+ 1 (+ (* -1/6 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))>
#<alt (* th (+ 1 (+ (* (pow th 2) (+ (* -1/6 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))) (* 1/120 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))>
#<alt (* th (+ 1 (+ (* (pow th 2) (+ (* -1/6 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))) (* 1/120 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt (* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))>
#<alt (+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))>
#<alt (+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))>
#<alt (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (+ 1 (* -1/6 (pow kx 2)))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (+ 1 (* -1/6 (pow kx 2)))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))>
#<alt (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))>
#<alt (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))>
#<alt (* -1/6 (* (pow kx 2) (pow ky 2)))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* -1/6 (* (pow kx 2) (pow ky 2)))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow 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 kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow 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))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (/ (sin ky) ky)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow 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))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (sin ky) ky))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 1/2 (/ 1 ky)))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (* kx (+ 1 (* -1/6 (pow kx 2)))) ky)>
#<alt (/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))) ky)>
#<alt (/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 7/360 (* kx (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))) ky)>
#<alt (/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 7/360 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 31/15120 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 7/720 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 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) (- 1/36 (* -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 (* 1/6 (/ (pow kx 3) (sin ky)))>
#<alt (* (pow kx 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow kx 2) (sin ky)))))>
#<alt (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow kx 2) (sin ky)))))>
#<alt (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (+ (* 18 (/ (sin ky) (pow kx 8))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow kx 2) (sin ky)))))>
#<alt (* -1/6 (/ (pow kx 3) (sin ky)))>
#<alt (* -1 (* (pow kx 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow kx 2) (sin ky))))))>
#<alt (* -1 (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow kx 2) (sin ky))))))>
#<alt (* -1 (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (+ (* 18 (/ (sin ky) (pow kx 8))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow kx 2) (sin ky))))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (* 1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))>
#<alt (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))>
#<alt kx>
#<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 ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>

Calls

123 calls:

Time	Variable		Point	Expression
33.0ms	th	@	0	(* (/ (sin ky) (sqrt (+ (* ky ky) (* kx kx)))) (sin th))
4.0ms	ky	@	inf	(/ (* (* kx kx) (+ -1/2 (* (* ky ky) -1/6))) (* ky ky))
3.0ms	ky	@	0	(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))) (sin ky)))
3.0ms	ky	@	-inf	(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))) (sin ky)))
2.0ms	ky	@	inf	(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))) (sin ky)))

rewrite341.0ms (2.5%)

Memory

29.5MiB live, 736.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 954×	`-lowering-.f32`
4 954×	`-lowering-.f64`
4 212×	`/-lowering-/.f32`
4 212×	`/-lowering-/.f64`
2 914×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	244
1	252	244
2	2160	234
0	8731	177

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 493

Calls

Call 1

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

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

simplify639.0ms (4.6%)

Memory

-8.3MiB live, 1 145.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 796×	`accelerator-lowering-fma.f32`
8 796×	`accelerator-lowering-fma.f64`
6 928×	`+-lowering-+.f64`
6 928×	`+-lowering-+.f32`
6 594×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	998	10107
1	3250	9798
0	8334	8865

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(* -1/6 (pow kx 2))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(* -1/6 (pow kx 2))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))
(sin th)
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* th (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* th (+ 1 (+ (* -1/6 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))
(* th (+ 1 (+ (* (pow th 2) (+ (* -1/6 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))) (* 1/120 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))
(* th (+ 1 (+ (* (pow th 2) (+ (* -1/6 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))) (* 1/120 (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))))) (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2)))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
(* (sin th) (+ 1 (/ (* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2)) (pow ky 2))))
1
(+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(+ 1 (* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* -1 (* (pow kx 2) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(+ 1 (* -1/6 (pow kx 2)))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(+ 1 (* -1/6 (pow kx 2)))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* -1/2 (pow kx 2))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(* -1/6 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* -1/6 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow 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))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow 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))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (sin ky) ky))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))
ky
(* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 1/2 (/ 1 ky)))))
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (* kx (+ 1 (* -1/6 (pow kx 2)))) ky)
(/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))) ky)
(/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 7/360 (* kx (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))) ky)
(/ (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/6 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 7/360 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 31/15120 (* kx (+ 1 (* -1/6 (pow kx 2))))) (+ (* 7/720 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 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) (- 1/36 (* -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))))))
(* 1/6 (/ (pow kx 3) (sin ky)))
(* (pow kx 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow kx 2) (sin ky)))))
(* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow kx 2) (sin ky)))))
(* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (+ (* 18 (/ (sin ky) (pow kx 8))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow kx 2) (sin ky)))))
(* -1/6 (/ (pow kx 3) (sin ky)))
(* -1 (* (pow kx 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow kx 2) (sin ky))))))
(* -1 (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow kx 2) (sin ky))))))
(* -1 (* (pow kx 3) (- (+ (* 3 (/ (sin ky) (pow kx 6))) (+ (* 18 (/ (sin ky) (pow kx 8))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow kx 2) (sin ky))))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(* 1/6 (pow kx 3))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
kx
(* 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 ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* -1/6 (pow kx 3))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))

Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (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 1/120 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (sin kx) (sin th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 (sin.f64 th) (sin.f64 kx))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)))))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
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(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(/ (sin ky) (sin th))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)) (sin.f64 th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 th)))))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 th)) (.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))))) (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (+.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 5 binary64))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx)))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (+.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 5 binary64))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx)))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx)))) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) kx)) (/.f64 (.f64 #s(literal -5/16 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 7 binary64))))))))))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/ (+ (* -1/2 (/ (* (pow 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 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky))))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))))) (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow 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 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky))))) (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))))) (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))) (-.f64 #s(literal 0 binary64) ky))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) (.f64 (/.f64 #s(literal -1/2 binary64) ky) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 ky #s(literal 5 binary64))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (pow.f64 ky #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 ky #s(literal 5 binary64)))))))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky)))) (.f64 kx kx))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 kx kx)))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 kx kx)))) (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))))))) (pow.f64 kx #s(literal 6 binary64)))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky)))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 kx kx)))) (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 kx kx)))) (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))))))) (pow.f64 kx #s(literal 6 binary64)))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))) (+.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 kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx))))) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))) (+.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 kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(/ ky kx)
(/.f64 ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 kx #s(literal 5 binary64))) (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 kx #s(literal 5 binary64))) (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 5 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 kx #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 kx (.f64 kx kx))) (/.f64 #s(literal 1/5040 binary64) kx)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx))))))))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (*.f64 kx kx) ky)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow 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 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (*.f64 kx kx) ky))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow 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 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 kx kx) ky)))))) ky)
(* -1 (/ (sin ky) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (*.f64 kx kx) ky)))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow 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 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (*.f64 kx kx) ky))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow 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 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 kx kx) 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) ky) (/.f64 (*.f64 kx kx) ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (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 #s(literal 3/8 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (pow.f64 ky #s(literal 5 binary64)))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (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 -5/16 binary64) (.f64 (sin.f64 ky) (.f64 kx kx))) (pow.f64 ky #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 5 binary64))))))))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (*.f64 ky ky) kx)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (*.f64 ky ky) kx))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 kx #s(literal 6 binary64))) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (.f64 ky ky) kx)))))) kx)
(* -1 (/ (sin ky) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (*.f64 ky ky) kx)))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (*.f64 ky ky) kx))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))
(/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 (sin.f64 ky) (+.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 kx #s(literal 6 binary64))) (.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (.f64 ky ky) kx)))))) (-.f64 #s(literal 0 binary64) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx))
(+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 ky ky)) (.f64 kx (.f64 kx kx))) (/.f64 #s(literal 1/2 binary64) kx))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 ky ky)) (pow.f64 kx #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 kx (.f64 kx kx))))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))
(.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(.f64 ky (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(.f64 ky (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))
(* -1 ky)
(-.f64 #s(literal 0 binary64) ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(-.f64 #s(literal 0 binary64) (.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky)))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.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 kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (-.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) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))
(+.f64 ky (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 kx kx)) (.f64 ky (.f64 ky ky))) (/.f64 #s(literal 1/2 binary64) ky))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 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 1/16 binary64) (.f64 kx kx)) (pow.f64 ky #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 ky (.f64 ky ky))))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(.f64 kx (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))))
(* -1 kx)
(-.f64 #s(literal 0 binary64) kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(-.f64 #s(literal 0 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx)))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 (.f64 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 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (+.f64 (.f64 #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 kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(sin th)
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(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
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(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(sin ky)
(sin.f64 ky)
(+ (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 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (-.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))
(* 1/6 (pow kx 3))
(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))

eval141.0ms (1%)

Memory: 31.9MiB live, 298.6MiB allocated
Compiler: Compiled 26 972 to 2 852 computations (89.4% saved)

prune220.0ms (1.6%)

Memory

-43.6MiB live, 425.9MiB allocated

Pruning

95 alts after pruning (88 fresh and 7 done)

	Pruned	Kept	Total
New	1 048	36	1 084
Fresh	10	52	62
Picked	3	2	5
Done	0	5	5
Total	1 061	95	1 156

Accuracy

100.0%

Counts

1 156 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	12.7%	(/.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)))))
	7.4%	(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
	49.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.5%	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
	2.8%	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
	97.8%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
	51.9%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	52.0%	(/.f64 (.f64 th (+.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)))
	20.2%	(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
	30.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	20.5%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	3.0%	(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
	75.8%	(/.f64 (sin.f64 th) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (sin.f64 ky)))
	57.5%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))) (sin.f64 ky)))
✓	57.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
	34.0%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))))
	53.0%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	17.9%	(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
	31.4%	(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
	20.5%	(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
	10.1%	(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
	75.8%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
	33.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	30.4%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	57.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) (sin.f64 th)))
	51.8%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) #s(literal -1/6 binary64)))))))
✓	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	52.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	52.8%	(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
	33.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	32.8%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
	52.2%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
	15.2%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
	10.0%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
	9.9%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
	32.6%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
	52.7%	(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
	51.0%	(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
	51.2%	(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	30.0%	(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
	2.6%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	53.0%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	52.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
✓	57.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	32.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	19.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
	19.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	20.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
	44.8%	(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	17.7%	(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
	21.8%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	46.3%	(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
	30.4%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	20.8%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	55.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
	50.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
	50.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
	49.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	32.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	27.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
	9.6%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
	10.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
	15.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) th)
	15.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
	14.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
	27.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
	34.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
	2.6%	(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
	9.3%	(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
	2.6%	(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
	7.9%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	17.7%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
	14.8%	(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
	17.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	21.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	17.6%	(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
	17.6%	(.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 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
	17.6%	(.f64 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
	18.2%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
	18.1%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
	7.7%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	9.0%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	20.8%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	51.5%	(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	9.0%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	30.3%	(sin.f64 th)
✓	18.3%	th

Compiler

Compiled 4 439 to 1 760 computations (60.4% saved)

regimes431.0ms (3.1%)

Memory

12.2MiB live, 603.5MiB allocated

Counts

144 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) (sin.f64 th)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) #s(literal -1/6 binary64)))))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
(.f64 (/.f64 (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 #s(literal 2 binary64) ky))))) #s(literal 1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (sin.f64 th))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(.f64 (/.f64 (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)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))) (sin.f64 th))
(*.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 (/.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 #s(literal 2 binary64) ky))))) #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 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))

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

Calls

9 calls:

63.0ms	(*.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))
54.0ms	(/.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)))))
46.0ms	kx
44.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
43.0ms	(sin.f64 th)

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)

regimes262.0ms (1.9%)

Memory

0.3MiB live, 391.6MiB allocated

Counts

116 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) (sin.f64 th)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) #s(literal -1/6 binary64)))))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))) (sin.f64 ky)))

Outputs

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

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

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

Calls

6 calls:

61.0ms	(sin.f64 th)
40.0ms	(sin.f64 kx)
35.0ms	th
33.0ms	kx
33.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
79.6%	3	`kx`
80.8%	4	`ky`
80.3%	3	`th`
78.3%	3	`(sin.f64 ky)`
79.2%	3	`(sin.f64 kx)`
79.3%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes79.0ms (0.6%)

Memory

4.3MiB live, 81.3MiB allocated

Counts

113 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) (sin.f64 th)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.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)))))) (sin.f64 ky))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 ky))) (sin.f64 ky))

Outputs

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

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

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

Calls

1 calls:

61.0ms

th

Results

Accuracy	Segments	Branch
80.3%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.4%)

Memory

2.3MiB live, 91.3MiB allocated

Counts

109 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) (sin.f64 th)))

Outputs

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

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

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

Calls

1 calls:

30.0ms

th

Results

Accuracy	Segments	Branch
80.2%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes46.0ms (0.3%)

Memory

14.2MiB live, 90.1MiB allocated

Counts

107 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.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)))))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.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)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

Calls

1 calls:

30.0ms

th

Results

Accuracy	Segments	Branch
80.2%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes81.0ms (0.6%)

Memory

-10.7MiB live, 69.0MiB allocated

Counts

101 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))

Outputs

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

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

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

Calls

1 calls:

43.0ms

th

Results

Accuracy	Segments	Branch
80.2%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Memory

16.9MiB live, 93.0MiB 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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) th))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (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 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 ky))

Outputs

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

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

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

Calls

1 calls:

27.0ms

th

Results

Accuracy	Segments	Branch
80.0%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.3%)

Memory

-9.5MiB live, 67.9MiB allocated

Counts

84 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))

Outputs

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

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

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

Calls

1 calls:

24.0ms

th

Results

Accuracy	Segments	Branch
80.0%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory

-2.8MiB live, 72.1MiB allocated

Counts

82 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))

Outputs

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

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

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

Calls

1 calls:

25.0ms

th

Results

Accuracy	Segments	Branch
79.9%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes134.0ms (1%)

Memory

10.7MiB live, 256.5MiB allocated

Counts

81 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

Calls

5 calls:

24.0ms	kx
23.0ms	(sin.f64 th)
23.0ms	(sin.f64 kx)
23.0ms	ky
23.0ms	th

Results

Accuracy	Segments	Branch
66.9%	3	`(sin.f64 kx)`
77.2%	2	`ky`
77.0%	3	`(sin.f64 th)`
67.0%	3	`kx`
77.0%	2	`th`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes106.0ms (0.8%)

Memory

-10.5MiB live, 258.6MiB allocated

Counts

79 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.f64 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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

(sin.f64 th)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.6%	3	`(sin.f64 th)`
72.2%	3	`(sin.f64 ky)`
59.6%	2	`th`
66.0%	2	`ky`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes37.0ms (0.3%)

Memory

39.1MiB live, 78.3MiB allocated

Counts

78 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

(sin.f64 th)

Calls

1 calls:

26.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
72.2%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes37.0ms (0.3%)

Memory

-25.5MiB live, 83.7MiB allocated

Counts

77 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

(sin.f64 th)

Calls

1 calls:

23.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
71.9%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes186.0ms (1.4%)

Memory

19.4MiB live, 316.0MiB 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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))

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

Calls

6 calls:

42.0ms	(sin.f64 th)
38.0ms	(sin.f64 kx)
26.0ms	(sin.f64 ky)
26.0ms	ky
21.0ms	kx

Results

Accuracy	Segments	Branch
52.1%	3	`(sin.f64 th)`
52.0%	2	`th`
57.8%	2	`(sin.f64 kx)`
57.0%	2	`kx`
48.6%	2	`ky`
55.0%	3	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes42.0ms (0.3%)

Memory

-21.7MiB live, 58.2MiB allocated

Counts

70 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))

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

Calls

1 calls:

19.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
57.8%	2	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes64.0ms (0.5%)

Memory

2.7MiB live, 79.4MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) th)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.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)))))) (sin.f64 kx)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))) (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 th) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64)))))))) (*.f64 ky ky))

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

Calls

2 calls:

38.0ms	kx
18.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
55.0%	2	`kx`
55.7%	2	`(sin.f64 kx)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes113.0ms (0.8%)

Memory

17.2MiB live, 172.3MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))

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

Calls

6 calls:

34.0ms	kx
16.0ms	(sin.f64 ky)
15.0ms	ky
14.0ms	(sin.f64 th)
13.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
47.3%	2	`ky`
36.6%	3	`(sin.f64 th)`
34.9%	2	`th`
47.2%	2	`(sin.f64 ky)`
45.8%	2	`kx`
46.7%	3	`(sin.f64 kx)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes20.0ms (0.1%)

Memory

4.7MiB live, 43.0MiB 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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))

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

Calls

1 calls:

14.0ms

ky

Results

Accuracy	Segments	Branch
47.3%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes48.0ms (0.4%)

Memory

-21.7MiB live, 97.1MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))

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

Calls

3 calls:

15.0ms	ky
14.0ms	(sin.f64 ky)
12.0ms	kx

Results

Accuracy	Segments	Branch
36.6%	2	`kx`
41.1%	2	`(sin.f64 ky)`
40.5%	2	`ky`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.1%)

Memory

0.7MiB live, 39.9MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx (*.f64 kx (sin.f64 th))) ky)) ky)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)))))
(.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))) th)
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 ky ky)) (sin.f64 th))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64)))))) (.f64 ky ky)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) ky))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -2/189 binary64))))))))) (*.f64 ky ky)) (sin.f64 th))

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

Calls

1 calls:

11.0ms

ky

Results

Accuracy	Segments	Branch
40.5%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) kx))

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

Calls

1 calls:

7.0ms

ky

Results

Accuracy	Segments	Branch
40.5%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory

-32.5MiB live, 57.6MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))
(sin.f64 th)

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

Calls

4 calls:

11.0ms	ky
7.0ms	th
7.0ms	(sin.f64 th)
7.0ms	kx

Results

Accuracy	Segments	Branch
30.3%	1	`th`
30.3%	1	`(sin.f64 th)`
33.4%	2	`kx`
31.9%	2	`ky`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes22.0ms (0.2%)

Memory

0.7MiB live, 39.6MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) th)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) ky) ky)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) th)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 ky ky))) th)
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 ky ky)) th)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))))) 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 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 (.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 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))))))) (*.f64 ky ky)) th)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 kx kx) #s(literal -1/15 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (.f64 ky ky))) th)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (.f64 ky ky) (+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 th (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 (.f64 ky ky) th) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64))) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky))

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

Calls

3 calls:

7.0ms	th
6.0ms	kx
6.0ms	ky

Results

Accuracy	Segments	Branch
18.3%	1	`th`
20.5%	2	`ky`
22.6%	2	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

1.0ms	kx
1.0ms	th
1.0ms	ky

Results

Accuracy	Segments	Branch
18.3%	1	`th`
18.3%	1	`ky`
18.3%	1	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.2%)

Memory

14.8MiB live, 53.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.236625555210634e+155	8.937289740878655e+155
19.0ms	0.5719998313652627	64.78055751834566

Samples

23.0ms

176×

valid

Compiler

Compiled 470 to 318 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 11.0ms (59.5% of total)

ival-pow2: 3.0ms (16.2% of total)

ival-div: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

ival-mult: 1.0ms (5.4% of total)

ival-sqrt: 1.0ms (5.4% of total)

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

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

bsearch35.0ms (0.3%)

Memory

-25.9MiB live, 53.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.236625555210634e+155	8.937289740878655e+155
20.0ms	0.5719998313652627	64.78055751834566

Samples

26.0ms

176×

valid

Compiler

Compiled 428 to 290 computations (32.2% saved)

Precisions

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

ival-sin: 14.0ms (67% of total)

ival-pow2: 3.0ms (14.4% of total)

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

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

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

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

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

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

bsearch34.0ms (0.2%)

Memory

10.7MiB live, 49.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.236625555210634e+155	8.937289740878655e+155
18.0ms	0.5719998313652627	64.78055751834566

Samples

25.0ms

176×

valid

Compiler

Compiled 428 to 297 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 13.0ms (65.3% of total)

ival-pow2: 3.0ms (15.1% of total)

ival-div: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

ival-mult: 1.0ms (5% of total)

ival-sqrt: 1.0ms (5% of total)

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

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

bsearch33.0ms (0.2%)

Memory

9.8MiB live, 48.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.236625555210634e+155	8.937289740878655e+155
19.0ms	0.5719998313652627	64.78055751834566

Samples

24.0ms

176×

valid

Compiler

Compiled 386 to 269 computations (30.3% saved)

Precisions

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

ival-sin: 12.0ms (61.8% of total)

ival-pow2: 3.0ms (15.4% of total)

ival-div: 1.0ms (5.1% of total)

ival-add: 1.0ms (5.1% of total)

ival-mult: 1.0ms (5.1% of total)

ival-sqrt: 1.0ms (5.1% of total)

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

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

bsearch35.0ms (0.3%)

Memory

8.6MiB live, 49.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.236625555210634e+155	8.937289740878655e+155
21.0ms	0.5719998313652627	64.78055751834566

Samples

23.0ms

176×

valid

Compiler

Compiled 386 to 269 computations (30.3% saved)

Precisions

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

ival-sin: 12.0ms (64.1% of total)

ival-pow2: 3.0ms (16% of total)

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

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

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

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

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

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

bsearch30.0ms (0.2%)

Memory

-22.2MiB live, 55.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.236625555210634e+155	8.937289740878655e+155
16.0ms	6.337075098193096e-5	0.0006093335862959965

Samples

22.0ms

160×

valid

Compiler

Compiled 302 to 208 computations (31.1% saved)

Precisions

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

ival-sin: 9.0ms (52.7% of total)

ival-pow2: 3.0ms (17.6% of total)

ival-sqrt: 2.0ms (11.7% of total)

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

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

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

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

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

bsearch31.0ms (0.2%)

Memory

7.0MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.236625555210634e+155	8.937289740878655e+155
14.0ms	6.337075098193096e-5	0.0006093335862959965

Samples

23.0ms

160×

valid

Compiler

Compiled 302 to 208 computations (31.1% saved)

Precisions

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

ival-sin: 9.0ms (47.9% of total)

ival-add: 4.0ms (21.3% of total)

ival-pow2: 3.0ms (16% of total)

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

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

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

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

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

bsearch30.0ms (0.2%)

Memory

-1.0MiB live, 40.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.236625555210634e+155	8.937289740878655e+155
14.0ms	6.337075098193096e-5	0.0006093335862959965

Samples

22.0ms

160×

valid

Compiler

Compiled 302 to 208 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 11.0ms (62% of total)

ival-pow2: 3.0ms (16.9% of total)

ival-div: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

ival-mult: 1.0ms (5.6% of total)

ival-sqrt: 1.0ms (5.6% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-6.1MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.3729955149651792e+21	4.316199982531847e+22

Samples

18.0ms

112×

valid

Compiler

Compiled 407 to 242 computations (40.5% saved)

Precisions

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

ival-sin: 10.0ms (67.4% of total)

ival-pow2: 2.0ms (13.5% 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

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010128862194203666	0.012692364136882614
0.0ms	-0.02501340027238189	3.3070492894396775e-307

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010128862194203666	0.012692364136882614
0.0ms	-0.02501340027238189	3.3070492894396775e-307

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010128862194203666	0.012692364136882614
0.0ms	-0.02501340027238189	3.3070492894396775e-307

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.13281726355089e-8	1.4986994858865793e-6

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.13281726355089e-8	1.4986994858865793e-6

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.13281726355089e-8	1.4986994858865793e-6

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1445755024878522e-54	1.5677196467281433e-54

Samples

5.0ms

48×

valid

Compiler

Compiled 73 to 57 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (52.9% of total)

ival-pow2: 1.0ms (26.5% 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-sqrt: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-22.8MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1445755024878522e-54	1.5677196467281433e-54

Samples

8.0ms

48×

valid

Compiler

Compiled 73 to 57 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (47.9% of total)

ival-pow2: 1.0ms (24% 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-sqrt: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.392577610494988e-138	6.780723172931905e-137

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch18.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.392577610494988e-138	6.780723172931905e-137

Samples

12.0ms

112×

valid

Compiler

Compiled 134 to 102 computations (23.9% saved)

Precisions

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

ival-sin: 5.0ms (54.3% of total)

ival-pow2: 2.0ms (21.7% of total)

ival-div: 1.0ms (10.9% of total)

ival-mult: 1.0ms (10.9% of total)

ival-sqrt: 1.0ms (10.9% of total)

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

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

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

bsearch24.0ms (0.2%)

Memory

-21.6MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.392577610494988e-138	6.780723172931905e-137

Samples

18.0ms

112×

valid

Compiler

Compiled 134 to 102 computations (23.9% saved)

Precisions

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

ival-sin: 11.0ms (72.7% of total)

ival-pow2: 2.0ms (13.2% of total)

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

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

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

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

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

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

bsearch27.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.3312465008398696e+20	3.920114560070087e+25

Samples

20.0ms

144×

valid

Compiler

Compiled 175 to 135 computations (22.9% saved)

Precisions

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

ival-sin: 10.0ms (62.3% of total)

ival-pow2: 2.0ms (12.5% of total)

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

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

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

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

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

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

bsearch33.0ms (0.2%)

Memory

-10.2MiB live, 38.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	4.3312465008398696e+20	3.920114560070087e+25

Samples

20.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-sin: 10.0ms (61.3% of total)

ival-pow2: 3.0ms (18.4% of total)

ival-div: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

ival-mult: 1.0ms (6.1% of total)

ival-sqrt: 1.0ms (6.1% of total)

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

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

simplify18.0ms (0.1%)

Memory

-8.4MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative_binary64`
26×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	738
1	245	738

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 th #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 739999999999999964821424100152165342835242648113760918479470331978789957619033277472152963756164443405392451577768362106711879763276870777745124554254057472 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 binary64)) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 th #s(literal 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5404319552844595/9007199254740992 binary64)) (/.f64 (.f64 th (+.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))) (if (<=.f64 th #s(literal 539999999999999987203229109688578271539362222609572876566164894688326833561927443966807942686835216297247653739779354129258024688948050851901483413344878592 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 860000000000000046660546365304103943693741050912804070427934022361220629268780164580112747997054585880792729434979832073449424784394636837498613904579756032 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 48999163945791/144115188075855872 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 680000000000000019170068238449982400486963594210769669305718914795727419009643220922925843235011978378205711803580692303608339229238461852115684544871399424 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 4242751136953197/9223372036854775808 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 749999999999999987519385167393791285920279206263102902275255710845351313125759415898608407709454056313428041258272328800650880511123430300099132777744564224 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 6640827866535439/36893488147419103232 binary64)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 619999999999999978250507105874013100057714392811248093331487069604512083184769777368945951114566907140505572874974957320239566718679578822238939869708550144 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 2150000000000000000000 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 ky #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8627182933488205/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 8379879956214123/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6389658466613269/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 11000000000000000000000 binary64)) (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 7600000000000000000000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 th #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 739999999999999964821424100152165342835242648113760918479470331978789957619033277472152963756164443405392451577768362106711879763276870777745124554254057472 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 th #s(literal 739999999999999964821424100152165342835242648113760918479470331978789957619033277472152963756164443405392451577768362106711879763276870777745124554254057472 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 binary64)) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 th #s(literal 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 binary64)) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 th #s(literal 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64))))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 th #s(literal 779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 5404319552844595/9007199254740992 binary64)) (/.f64 (.f64 th (+.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))) (if (<=.f64 th #s(literal 539999999999999987203229109688578271539362222609572876566164894688326833561927443966807942686835216297247653739779354129258024688948050851901483413344878592 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5404319552844595/9007199254740992 binary64)) (/.f64 (.f64 th (+.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))) (if (<=.f64 th #s(literal 539999999999999987203229109688578271539362222609572876566164894688326833561927443966807942686835216297247653739779354129258024688948050851901483413344878592 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 binary64)) (.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 860000000000000046660546365304103943693741050912804070427934022361220629268780164580112747997054585880792729434979832073449424784394636837498613904579756032 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 5224175567749775/9007199254740992 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 kx) (sin.f64 ky)))) (if (<=.f64 th #s(literal 860000000000000046660546365304103943693741050912804070427934022361220629268780164580112747997054585880792729434979832073449424784394636837498613904579756032 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 48999163945791/144115188075855872 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 680000000000000019170068238449982400486963594210769669305718914795727419009643220922925843235011978378205711803580692303608339229238461852115684544871399424 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 48999163945791/144115188075855872 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 680000000000000019170068238449982400486963594210769669305718914795727419009643220922925843235011978378205711803580692303608339229238461852115684544871399424 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 4242751136953197/9223372036854775808 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 749999999999999987519385167393791285920279206263102902275255710845351313125759415898608407709454056313428041258272328800650880511123430300099132777744564224 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 4242751136953197/9223372036854775808 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 749999999999999987519385167393791285920279206263102902275255710845351313125759415898608407709454056313428041258272328800650880511123430300099132777744564224 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 th #s(literal 6640827866535439/36893488147419103232 binary64)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 619999999999999978250507105874013100057714392811248093331487069604512083184769777368945951114566907140505572874974957320239566718679578822238939869708550144 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 th #s(literal 6640827866535439/36893488147419103232 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 th #s(literal 619999999999999978250507105874013100057714392811248093331487069604512083184769777368945951114566907140505572874974957320239566718679578822238939869708550144 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))
(if (<=.f64 ky #s(literal 2150000000000000000000 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
(if (<=.f64 ky #s(literal 2150000000000000000000 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (/.f64 (.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)))))) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3458764513820541/288230376151711744 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 ky kx))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 ky kx))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (/.f64 ky (hypot.f64 ky kx)) (sin.f64 th)) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 ky kx))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(if (<=.f64 ky #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8627182933488205/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8627182933488205/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 8379879956214123/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6389658466613269/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 11000000000000000000000 binary64)) (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 7600000000000000000000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

soundness1.6s (11.8%)

Memory

48.0MiB live, 1 645.3MiB allocated

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
13 496×	`accelerator-lowering-fma.f32`
13 496×	`accelerator-lowering-fma.f64`
9 450×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	555	7858
1	1848	7535
2	7210	7404
0	8253	6952
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34
0	28	163
1	150	162
2	1110	162
0	8228	121
0	998	10107
1	3250	9798
0	8334	8865
0	317	2263
1	1011	2214
2	3860	2122
3	7803	2122
0	8106	1974
0	868	8911
1	2892	8585
2	7833	8585
0	8306	7921

Stop Event

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

Compiler

Compiled 2 417 to 1 267 computations (47.6% saved)

preprocess462.0ms (3.4%)

Memory

-78.5MiB live, 399.4MiB allocated

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1 604 to 436 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated