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

analyze737.0ms (3.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.5s (25.9%)

Results

4.2s	4810×	body	1024	valid
800.0ms	1473×	body	512	valid
529.0ms	1959×	body	256	valid
20.0ms	14×	body	2048	valid

Bogosity

preprocess64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1292×	`distribute-lft-neg-in`
1030×	`distribute-rgt-neg-in`
898×	`associate-/l*`
776×	`fma-neg`
768×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	373
1	100	253
2	227	253
3	495	253
4	1799	253
5	5855	253

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs kx)

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-*r/`
1600×	`sqr-pow`
1492×	`associate-/r*`
864×	`associate-r`
772×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	28	35
2	54	35
3	82	35
4	163	35
5	463	35
6	1755	35
7	3059	35
8	3846	35
9	4090	35
10	4411	35
11	4875	35
12	5505	35
13	7121	35

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 79 to 30 computations (62% saved)

prune5.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Accurracy

99.9%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	89.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	89.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 122 to 82 computations (32.8% saved)

localize402.0ms (1.9%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	95.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(pow.f64 (sin.f64 ky) 2)
✓	99.6%	(pow.f64 (sin.f64 kx) 2)
✓	95.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
✓	92.0%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.6%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 158 to 37 computations (76.6% saved)

series107.0ms (0.5%)

Counts

13 → 344

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	kx	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
3.0ms	kx	@	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
2.0ms	ky	@	inf	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
2.0ms	th	@	inf	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	ky	@	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite160.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`prod-diff`
692×	`expm1-udef`
690×	`log1p-udef`
408×	`add-sqr-sqrt`
404×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	287
1	489	287
2	5596	287

Stop Event

1×	node limit

Counts

13 → 490

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) 1))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (cbrt.f64 (sin.f64 ky))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th)))
(/.f64 -1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 1) (.f64 2 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
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(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
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(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 3)))
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(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
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(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 1)
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
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(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)
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(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)
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(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))
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(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 1)
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) 2) (/.f64 (cos.f64 (+.f64 ky th)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) -2)
(pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)
(*.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 4) (-.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

simplify270.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-r`
986×	`associate-l`
912×	`fma-def`
634×	`associate-*r/`
500×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	909	41840
1	2359	37716

Stop Event

1×	node limit

Counts

834 → 471

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (.f64 1/4 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)))
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(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
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(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
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(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(*.f64 (pow.f64 (sin.f64 ky) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 ky) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 2)
(sqrt.f64 (pow.f64 (sin.f64 ky) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))
(cbrt.f64 (pow.f64 (sin.f64 ky) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.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 (sin.f64 th) (.f64 (/.f64 1 (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 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))
(.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 1)
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) 2) (/.f64 (cos.f64 (+.f64 ky th)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) -2)
(pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)
(*.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 4) (-.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 3)) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (pow.f64 th 3) -1/6)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 3)) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 5)) (fma.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (pow.f64 th 3) -1/6))))
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(sin.f64 th)
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
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(/.f64 (sin.f64 kx) (sin.f64 th))
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(fma.f64 1/2 (/.f64 (.f64 ky ky) (.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (sin.f64 kx) (sin.f64 th)))
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(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
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(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
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(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4)))))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4))) (sin.f64 kx)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (sin.f64 kx))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4))) (.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 kx) (pow.f64 ky 6))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (/.f64 (.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (sin.f64 kx) (pow.f64 ky 6))) (/.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (sin.f64 kx) (pow.f64 ky 4)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
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(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (fma.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)))) (pow.f64 ky 5) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (pow.f64 ky 5) (fma.f64 1/2 (.f64 (sin.f64 th) (.f64 (sin.f64 kx) (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (/.f64 (.f64 1/12 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))) (.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky))))
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(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky)))))
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(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky))))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))))))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (.f64 kx kx) (.f64 (pow.f64 kx 4) -1/3))
(fma.f64 kx kx (*.f64 (pow.f64 kx 4) -1/3))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
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(fma.f64 kx kx (fma.f64 2/45 (pow.f64 kx 6) (*.f64 (pow.f64 kx 4) -1/3)))
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(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 2/45 (pow.f64 kx 6) (*.f64 -1/315 (pow.f64 kx 8)))))
(pow.f64 ky 2)
(*.f64 ky ky)
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(fma.f64 -1/3 (pow.f64 ky 4) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 (pow.f64 ky 4) -1/3))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
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(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
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(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 th (sin.f64 ky))))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx kx))) (sin.f64 th)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
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(fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx kx))) (sin.f64 th)) (neg.f64 (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 th) (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2)) (.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) 1/2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))

eval235.0ms (1.1%)

Compiler: Compiled 16934 to 7819 computations (53.8% saved)

prune224.0ms (1.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	585	25	610
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	586	28	614

Accurracy

100.0%

Counts

614 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th)))
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	95.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	81.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
	30.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	30.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.1%	(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
▶	24.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	64.8%	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	95.4%	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	24.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
▶	99.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	50.2%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	49.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
▶	24.2%	(sin.f64 th)
	57.5%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th)))
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	95.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	81.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
	30.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	30.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.1%	(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
▶	24.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	64.8%	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	95.4%	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	24.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
▶	99.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	50.2%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	49.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
▶	24.2%	(sin.f64 th)

Compiler

Compiled 1480 to 1018 computations (31.2% saved)

localize665.0ms (3.1%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(pow.f64 (sin.f64 ky) 2)
✓	95.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
✓	92.0%	(sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2)))
✓	76.4%	(-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
✓	99.5%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	99.7%	(/.f64 (sin.f64 ky) (sin.f64 th))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Compiler

Compiled 190 to 59 computations (68.9% saved)

series39.0ms (0.2%)

Counts

10 → 260

Calls

69 calls:

Time	Variable		Point	Expression
8.0ms	kx	@	inf	(-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2))
3.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
2.0ms	ky	@	-inf	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
1.0ms	th	@	-inf	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms	th	@	inf	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
638×	`pow1`
634×	`*-un-lft-identity`
604×	`add-exp-log`
604×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	310
1	658	278

Stop Event

1×	node limit

Counts

10 → 269

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2))
(sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.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 1 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 (/.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 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 1)
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))))
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(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 1 (sin.f64 th))
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(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
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(pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)
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(pow.f64 (/.f64 1 (sin.f64 th)) -1)
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(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4)) (+.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))
(/.f64 (neg.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4) (.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4))) (neg.f64 (+.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)) (.f64 1/2 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)))))
(/.f64 (-.f64 1/4 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2))) (-.f64 1/2 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)))
(pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(exp.f64 (.f64 (log.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) 1)
(.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (-.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 1/2)
(pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 2)
(fabs.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(hypot.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))) 1)
(.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(.f64 1 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (.f64 (sin.f64 th) (sin.f64 ky))) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))

simplify336.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
662×	`associate-*r/`
564×	`*-commutative`
548×	`associate-*l/`
466×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1042	31693
1	2851	30057

Stop Event

1×	node limit

Counts

529 → 514

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(sin.f64 th)
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
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1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 ky (sin.f64 th))
(+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))))
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(/.f64 (sin.f64 ky) th)
(+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/6 (.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
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(sin.f64 th)
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(*.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))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
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(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
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(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1/2) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1)
(pow.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) -1/2)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1/2) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(+.f64 1/2 (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2))
(.f64 1 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4) (.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4)) (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4) (.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4))))
(/.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8)) (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4) (.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4)) (+.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))
(/.f64 (neg.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4) (.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4))) (neg.f64 (+.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)) (.f64 1/2 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)))))
(/.f64 (-.f64 1/4 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2) (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2))) (-.f64 1/2 (.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)))
(pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(exp.f64 (.f64 (log.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) 1)
(.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (-.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 1/2)
(pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 2)
(fabs.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(hypot.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))) 1)
(.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(.f64 1 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (.f64 (sin.f64 th) (sin.f64 ky))) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 (.f64 -1/5040 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (.f64 (sin.f64 ky) (pow.f64 th 7))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (.f64 -1/2 (sin.f64 th)) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 (-.f64 (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (.f64 -1/2 (sin.f64 th)) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (.f64 -1/2 (sin.f64 th)) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (-.f64 2/45 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) -1/2) (pow.f64 (sin.f64 kx) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (/.f64 (.f64 -1/2 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 ky (-.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 (sin.f64 kx) -1/6))))
(fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))
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(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1)
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(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1))
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(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))) (fma.f64 1/2 (+.f64 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))) 1))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 ky (sin.f64 th))
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(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th)))
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(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))
(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th))))
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(/.f64 (sin.f64 ky) th)
(+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/6 (.f64 (sin.f64 ky) th)))
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(fma.f64 (*.f64 (sin.f64 ky) th) 1/6 (/.f64 (sin.f64 ky) th))
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (-.f64 (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 kx) 5))) (pow.f64 ky 4))) (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 kx) 5))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (-.f64 2/45 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) -1/2) (pow.f64 (sin.f64 kx) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (/.f64 (*.f64 1/4 (sin.f64 th)) (/.f64 (pow.f64 (sin.f64 kx) 5) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 6))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 3)) (/.f64 (sin.f64 th) (sin.f64 ky)))
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(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 3)) (/.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 3)))))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 3)) (/.f64 (sin.f64 th) (sin.f64 ky))) (.f64 (pow.f64 kx 4) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 5)))))
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(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin.f64 th)
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(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
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(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (.f64 kx kx) (.f64 (pow.f64 kx 4) -1/3))
(fma.f64 (pow.f64 kx 4) -1/3 (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (.f64 2/45 (pow.f64 kx 6))))
(fma.f64 kx kx (fma.f64 2/45 (pow.f64 kx 6) (*.f64 (pow.f64 kx 4) -1/3)))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (fma.f64 2/45 (pow.f64 kx 6) (.f64 -1/315 (pow.f64 kx 8)))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 2/45 (pow.f64 kx 6) (*.f64 -1/315 (pow.f64 kx 8)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (pow.f64 ky 2))) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))
(fma.f64 1/2 (.f64 (.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))) (.f64 -1/2 (.f64 (.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2))))))
(fma.f64 1/2 (.f64 (.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (fma.f64 -1/2 (.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2)) (.f64 (pow.f64 ky 4) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))) 2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))) (pow.f64 ky 6)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))) (.f64 -1/2 (.f64 (.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))))
(fma.f64 1/2 (.f64 (.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (.f64 (pow.f64 ky 6) (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))) (+.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2))))))))
(fma.f64 1/2 (.f64 (.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (fma.f64 1/2 (.f64 (+.f64 2/45 (/.f64 (.f64 1/2 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2))) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (.f64 (pow.f64 ky 6) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (fma.f64 -1/2 (.f64 (+.f64 1/3 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) 2)) (.f64 (pow.f64 ky 4) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))) 3))))) (.f64 -1/6 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))))) (pow.f64 ky 3)) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))))
(fma.f64 (fma.f64 -1/2 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3)))) (.f64 -1/6 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))) (pow.f64 ky 3) (.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(fma.f64 (pow.f64 ky 3) (fma.f64 (.f64 -1/2 (sin.f64 th)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3))) (.f64 -1/6 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))) (.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
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(fma.f64 (fma.f64 1/12 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))) (.f64 (sin.f64 th) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3)))) 2))))) (.f64 1/120 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/2 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3)))) (.f64 -1/6 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))) (pow.f64 ky 3) (.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
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(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
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(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
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(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(sin.f64 th)
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(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
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(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (.f64 1/2 (cos.f64 (neg.f64 (.f64 -2 kx))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.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 (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 (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 1 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.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))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(*.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))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(*.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))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(*.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))))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -1)
(*.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))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (pow.f64 (exp.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.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))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(*.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))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
(*.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))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.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))))
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(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -2)
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(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
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(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) 1)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(.f64 (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 3) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (-.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 2) (-.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 (.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 -1/2 (.f64 1/2 (cos.f64 (.f64 kx -2))))) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 1/2 (+.f64 (.f64 1/2 (cos.f64 (.f64 kx -2))) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 1/2 (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) (pow.f64 (sin.f64 ky) 2)))))
(pow.f64 (+.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)) 1/2)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 1)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 3)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3) 1/3)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 2)
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2))) 1/2))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))) 1))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))) 1)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 1 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (sin.f64 th)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (neg.f64 (sin.f64 ky)) (.f64 (sin.f64 th) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (*.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2))))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))))
(.f64 (/.f64 (sin.f64 th) (cbrt.f64 (fma.f64 (fma.f64 -1 (cos.f64 (.f64 kx -2)) 1) 1/2 (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))))))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 1)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 3)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3) 1/3)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 2)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (.f64 (sin.f64 th) (sin.f64 ky))) -1)
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th))) 2))
(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th))) 3))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) 3)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))) 1))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) 1/2)))) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx -2)))))) (sin.f64 th)))

eval594.0ms (2.8%)

Compiler: Compiled 22834 to 12693 computations (44.4% saved)

prune310.0ms (1.5%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	714	23	737
Fresh	8	12	20
Picked	3	2	5
Done	0	3	3
Total	725	40	765

Accurracy

100.0%

Counts

765 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	14.3%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	23.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	95.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
	87.8%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	30.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	30.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	28.8%	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	9.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	14.7%	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
	25.1%	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
	99.3%	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
▶	13.6%	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	95.4%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	26.3%	(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
	75.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	99.5%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
▶	33.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	50.2%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
✓	24.2%	(sin.f64 th)
	24.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
▶	22.6%	(log.f64 (exp.f64 (sin.f64 th)))
	27.8%	(fabs.f64 (sin.f64 th))
	24.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	13.9%	(exp.f64 (log.f64 (sin.f64 th)))
	24.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	14.2%	th
	24.2%	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	14.3%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	23.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	95.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
	87.8%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	30.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	30.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	28.8%	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	9.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	14.7%	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
	25.1%	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
	99.3%	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
▶	13.6%	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	95.4%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	26.3%	(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
	75.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	99.5%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
▶	33.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	50.2%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
✓	24.2%	(sin.f64 th)
	24.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
▶	22.6%	(log.f64 (exp.f64 (sin.f64 th)))
	27.8%	(fabs.f64 (sin.f64 th))
	24.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	13.9%	(exp.f64 (log.f64 (sin.f64 th)))
	24.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	14.2%	th

Compiler

Compiled 1886 to 1390 computations (26.3% saved)

localize922.0ms (4.3%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	95.4%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
✓	76.4%	(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
✓	74.5%	(sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))
✓	99.8%	(/.f64 1 (sin.f64 kx))
✓	99.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
✓	99.5%	(*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th))
✓	99.9%	(exp.f64 (sin.f64 th))
✓	54.2%	(log.f64 (exp.f64 (sin.f64 th)))
✓	100.0%	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
✓	99.4%	(*.f64 -1/6 (pow.f64 th 3))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	99.6%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	99.5%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Compiler

Compiled 168 to 77 computations (54.2% saved)

series24.0ms (0.1%)

Counts

12 → 199

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	ky	@	inf	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
2.0ms	th	@	0	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
1.0ms	ky	@	0	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
1.0ms	kx	@	inf	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
1.0ms	kx	@	-inf	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`add-sqr-sqrt`
676×	`pow1`
670×	`*-un-lft-identity`
648×	`add-exp-log`
646×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	234
1	706	194

Stop Event

1×	node limit

Counts

12 → 301

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (sin.f64 kx))
(sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(*.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 1 (sin.f64 th)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(exp.f64 (-.f64 (log.f64 (sin.f64 th)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 th 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 th 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 th 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 th 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 th 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 th 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 th 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 th 3) th))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)) (/.f64 (.f64 th th) (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)))
(*.f64 1 (fma.f64 -1/6 (pow.f64 th 3) th))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 th 3)) 3) (pow.f64 th 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 th th) (.f64 (.f64 -1/6 (pow.f64 th 3)) th)))))
(.f64 (-.f64 (.f64 (pow.f64 th 6) 1/36) (.f64 th th)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 th th) (.f64 (.f64 -1/6 (pow.f64 th 3)) th))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3) (pow.f64 th 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 th 3)) 3) (pow.f64 th 3)) (+.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 th th) (.f64 (*.f64 -1/6 (pow.f64 th 3)) th))))
(/.f64 (-.f64 (.f64 (pow.f64 th 6) 1/36) (.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 th 3)) 3) (pow.f64 th 3))) (neg.f64 (+.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 th th) (.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 th 6) 1/36) (.f64 th th))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (+.f64 (pow.f64 th 3) (pow.f64 (.f64 -1/6 (pow.f64 th 3)) 3)) (+.f64 (.f64 th th) (-.f64 (.f64 (pow.f64 th 6) 1/36) (.f64 th (*.f64 -1/6 (pow.f64 th 3))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (pow.f64 th 6) 1/36)) (-.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 th 3) th))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
(fma.f64 1 th (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(fma.f64 (pow.f64 th 3) -1/6 th)
(fma.f64 (pow.f64 (.f64 th (cbrt.f64 -1/6)) 2) (.f64 th (cbrt.f64 -1/6)) th)
(fma.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 th) (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 (.f64 (pow.f64 th 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 th 3/2) (sqrt.f64 -1/6)) th)
(fma.f64 (sqrt.f64 th) (sqrt.f64 th) (*.f64 -1/6 (pow.f64 th 3)))
(+.f64 0 (sin.f64 th))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 1 (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) 1)
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sin.f64 th)
(expm1.f64 (log1p.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 1))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 th)))) 1)
(*.f64 1 (exp.f64 (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) 2) (cbrt.f64 (exp.f64 (sin.f64 th))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 th))) (sqrt.f64 (exp.f64 (sin.f64 th))))
(pow.f64 (exp.f64 (sin.f64 th)) 1)
(pow.f64 (E.f64) (sin.f64 th))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 th))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)
(/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 1 (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 kx)) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) 1))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 1) (.f64 2 (sin.f64 kx)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (neg.f64 (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 kx)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) -2)) (/.f64 1 (cbrt.f64 (sin.f64 kx))))
(*.f64 (pow.f64 (sin.f64 kx) -1/2) (pow.f64 (sin.f64 kx) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 kx))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 kx)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) -1) (pow.f64 (sqrt.f64 (sin.f64 kx)) -1))
(pow.f64 (/.f64 1 (sin.f64 kx)) 1)
(pow.f64 (sin.f64 kx) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 kx))) 3)
(pow.f64 (pow.f64 (sin.f64 kx) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 kx)) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 kx) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 kx) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 kx))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 kx))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 kx))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) 1)
(*.f64 1 (sin.f64 kx))
(*.f64 (sin.f64 kx) 1)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (pow.f64 1 1/2) (sin.f64 kx))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1/2))
(/.f64 1 (/.f64 1 (sin.f64 kx)))
(/.f64 (sin.f64 kx) 1)
(/.f64 (neg.f64 (sin.f64 kx)) -1)
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4))) (sqrt.f64 (pow.f64 (cos.f64 kx) 2)))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 kx 2))))))))
(pow.f64 (sin.f64 kx) 1)
(pow.f64 (cbrt.f64 (sin.f64 kx)) 3)
(pow.f64 (pow.f64 (sin.f64 kx) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 kx) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 kx)) 2)
(fabs.f64 (sin.f64 kx))
(log.f64 (exp.f64 (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) 3))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) 1))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(+.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx 2))))
(*.f64 1 (pow.f64 (sin.f64 kx) 2))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2))))))))
(.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 kx 2)) 2) 1/4)) (/.f64 1 (pow.f64 (cos.f64 kx) 2)))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (*.f64 kx 2)) 3) 1/8))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 kx) 2) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4))))
(/.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8)) (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 kx 2)))))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4)) (pow.f64 (cos.f64 kx) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)
(/.f64 (neg.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 kx 2))))))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4))) (neg.f64 (pow.f64 (cos.f64 kx) 2)))
(/.f64 (+.f64 1/8 (pow.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) 3)) (+.f64 1/4 (-.f64 (.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2))))) (.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2))))))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) (.f64 -1/2 (cos.f64 (.f64 kx 2)))) (.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx 2)))))))
(/.f64 (-.f64 1/4 (.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (-.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) (.f64 -1/2 (cos.f64 (.f64 kx 2))))) (-.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx 2)))))
(pow.f64 (sin.f64 kx) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 3)
(pow.f64 (pow.f64 (sin.f64 kx) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (pow.f64 (sin.f64 kx) -1/2) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))
(.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1124×	`fma-def`
1008×	`associate-/r*`
544×	`distribute-rgt-in`
542×	`distribute-lft-in`
480×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	977	19188
1	2599	18312

Stop Event

1×	node limit

Counts

500 → 530

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 4))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
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(sin.f64 th)
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th
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
th
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
1
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(/.f64 (sin.f64 th) kx)
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(+.f64 (.f64 1/6 (.f64 (sin.f64 th) kx)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (sin.f64 th)) (.f64 1/120 (sin.f64 th)))) (+.f64 (.f64 -1/5040 (sin.f64 th)) (.f64 1/720 (sin.f64 th)))) (pow.f64 kx 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 th (sin.f64 kx))
(+.f64 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))))
(+.f64 (/.f64 th (sin.f64 kx)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))) (.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 kx)))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 kx))) (+.f64 (/.f64 th (sin.f64 kx)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 kx))))))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky))))))))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 1 kx)
(+.f64 (*.f64 1/6 kx) (/.f64 1 kx))
(+.f64 (.f64 1/6 kx) (+.f64 (.f64 7/360 (pow.f64 kx 3)) (/.f64 1 kx)))
(+.f64 (.f64 1/6 kx) (+.f64 (.f64 31/15120 (pow.f64 kx 5)) (+.f64 (*.f64 7/360 (pow.f64 kx 3)) (/.f64 1 kx))))
kx
(+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx)
(+.f64 (.f64 1/120 (pow.f64 kx 5)) (+.f64 (.f64 -1/6 (pow.f64 kx 3)) kx))
(+.f64 (.f64 1/120 (pow.f64 kx 5)) (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (*.f64 -1/5040 (pow.f64 kx 7)) kx)))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 7)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th)) (.f64 -1/5040 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))) (.f64 7/360 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 3))))))
(+.f64 (.f64 31/15120 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 5)))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))) (.f64 7/360 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 3)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(*.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 1 (sin.f64 th)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(exp.f64 (-.f64 (log.f64 (sin.f64 th)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 ky) 3)))
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(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 th 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 th 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 th 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 th 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3))
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(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 th 3))) 1))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 th 3) th))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)) (/.f64 (.f64 th th) (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)))
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(.f64 (-.f64 (.f64 (pow.f64 th 6) 1/36) (.f64 th th)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 th 6) 1/36) (-.f64 (.f64 th th) (.f64 (.f64 -1/6 (pow.f64 th 3)) th))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 3) (pow.f64 th 3))))
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(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3) 1/3)
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(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 th 3) th))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))
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(fma.f64 -1/6 (pow.f64 th 3) th)
(fma.f64 (pow.f64 th 3) -1/6 th)
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(fma.f64 (sqrt.f64 th) (sqrt.f64 th) (*.f64 -1/6 (pow.f64 th 3)))
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(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 1))
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(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3))
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(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 th))))
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(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
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(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
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(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
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(pow.f64 (pow.f64 (sin.f64 kx) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 kx) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 kx)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 kx))))
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(pow.f64 (sin.f64 kx) 1)
(pow.f64 (cbrt.f64 (sin.f64 kx)) 3)
(pow.f64 (pow.f64 (sin.f64 kx) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 kx) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 kx)) 2)
(fabs.f64 (sin.f64 kx))
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(log.f64 (+.f64 1 (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) 3))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) 1))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(+.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx 2))))
(*.f64 1 (pow.f64 (sin.f64 kx) 2))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2))))))))
(.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 kx 2)) 2) 1/4)) (/.f64 1 (pow.f64 (cos.f64 kx) 2)))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (*.f64 kx 2)) 3) 1/8))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 kx) 2) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4))))
(/.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8)) (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 kx 2)))))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4)) (pow.f64 (cos.f64 kx) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)
(/.f64 (neg.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 3) 1/8))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4) (.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 kx 2))))))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 kx 2)) 2) 1/4))) (neg.f64 (pow.f64 (cos.f64 kx) 2)))
(/.f64 (+.f64 1/8 (pow.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) 3)) (+.f64 1/4 (-.f64 (.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2))))) (.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2))))))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) (.f64 -1/2 (cos.f64 (.f64 kx 2)))) (.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 kx 2)))))))
(/.f64 (-.f64 1/4 (.f64 (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))) (neg.f64 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (-.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 (.f64 kx 2))) (.f64 -1/2 (cos.f64 (.f64 kx 2))))) (-.f64 1/2 (.f64 -1/2 (cos.f64 (*.f64 kx 2)))))
(pow.f64 (sin.f64 kx) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 3)
(pow.f64 (pow.f64 (sin.f64 kx) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (pow.f64 (sin.f64 kx) -1/2) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))
(.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))

Outputs
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 ky ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 4))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 4)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (pow.f64 ky 4))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 5))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 6))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 4))) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 5) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))))) (pow.f64 ky 6)) (fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 4)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (-.f64 (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (pow.f64 ky 4))) (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 5) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 6))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 3)) (/.f64 (sin.f64 th) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (*.f64 kx kx))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 kx 4)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 3)) (/.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 kx 4))))
(-.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (.f64 kx kx))) (/.f64 (sin.f64 th) (sin.f64 ky))) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 4)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 5))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 kx 6))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 kx 4))))))
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th
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
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(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
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(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
1
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(/.f64 (sin.f64 th) kx)
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 th (sin.f64 kx))
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(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
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(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
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(fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))))
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(fma.f64 -1 (.f64 (pow.f64 kx 3) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -7/360)) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 kx (sin.f64 ky))))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))) (.f64 (pow.f64 kx 3) (.f64 (sin.f64 ky) (*.f64 (sin.f64 th) -7/360))))
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(+.f64 (.f64 1/6 kx) (+.f64 (.f64 31/15120 (pow.f64 kx 5)) (+.f64 (*.f64 7/360 (pow.f64 kx 3)) (/.f64 1 kx))))
(fma.f64 1/6 kx (fma.f64 31/15120 (pow.f64 kx 5) (fma.f64 7/360 (pow.f64 kx 3) (/.f64 1 kx))))
(fma.f64 kx 1/6 (fma.f64 (pow.f64 kx 5) 31/15120 (fma.f64 (pow.f64 kx 3) 7/360 (/.f64 1 kx))))
kx
(+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx)
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 (.f64 1/120 (pow.f64 kx 5)) (+.f64 (.f64 -1/6 (pow.f64 kx 3)) kx))
(fma.f64 1/120 (pow.f64 kx 5) (fma.f64 -1/6 (pow.f64 kx 3) kx))
(+.f64 (.f64 1/120 (pow.f64 kx 5)) (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (*.f64 -1/5040 (pow.f64 kx 7)) kx)))
(fma.f64 1/120 (pow.f64 kx 5) (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) kx)))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (.f64 kx kx) (.f64 (pow.f64 kx 4) -1/3))
(fma.f64 kx kx (*.f64 (pow.f64 kx 4) -1/3))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (.f64 2/45 (pow.f64 kx 6))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (*.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (fma.f64 2/45 (pow.f64 kx 6) (.f64 -1/315 (pow.f64 kx 8)))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 -1/315 (pow.f64 kx 8) (*.f64 2/45 (pow.f64 kx 6)))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))))
(fma.f64 -1/6 (.f64 (sin.f64 th) (.f64 (pow.f64 ky 3) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 (sin.f64 th) ky) (.f64 -1/6 (.f64 (sin.f64 th) (pow.f64 ky 3)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))))
(fma.f64 -1/6 (.f64 (sin.f64 th) (.f64 (pow.f64 ky 3) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))) (fma.f64 1/120 (.f64 (sin.f64 th) (.f64 (pow.f64 ky 5) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))))
(fma.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 (sin.f64 th) ky) (.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 7)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))))))
(fma.f64 -1/6 (.f64 (sin.f64 th) (.f64 (pow.f64 ky 3) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))) (fma.f64 1/120 (.f64 (sin.f64 th) (.f64 (pow.f64 ky 5) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))) (fma.f64 -1/5040 (.f64 (.f64 (sin.f64 th) (pow.f64 ky 7)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5))) (.f64 -1/5040 (.f64 (sin.f64 th) (pow.f64 ky 7))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 (sin.f64 th) ky) (.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 -1/6 (.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (fma.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))))
(fma.f64 -1/6 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 1/120 (.f64 (sin.f64 ky) (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (.f64 (sin.f64 ky) th)) (.f64 -1/5040 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))))
(fma.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (fma.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (.f64 th (sin.f64 ky)) (.f64 -1/5040 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx))))))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 1/120 (.f64 (sin.f64 ky) (pow.f64 th 5))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 -1/5040 (*.f64 (sin.f64 ky) (pow.f64 th 7))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky)))))
(fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))) (.f64 7/360 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 3))))))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 7/360 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 (.f64 7/360 (sin.f64 th)) (*.f64 (sin.f64 ky) (pow.f64 kx 3)))))
(+.f64 (.f64 31/15120 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 5)))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))) (.f64 7/360 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 3)))))))
(fma.f64 31/15120 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 5))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 7/360 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 3)))))))
(+.f64 (fma.f64 31/15120 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 5))) (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 (.f64 7/360 (sin.f64 th)) (*.f64 (sin.f64 ky) (pow.f64 kx 3)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 kx kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 -1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 1 (sin.f64 th)) -1))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) -1))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
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(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
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(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)
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(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(fabs.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (-.f64 (log.f64 (sin.f64 th)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 1)
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(*.f64 -1/6 (pow.f64 th 3))
(pow.f64 (*.f64 (pow.f64 th 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
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(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 kx) 3)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))

eval257.0ms (1.2%)

Compiler: Compiled 16357 to 8518 computations (47.9% saved)

prune236.0ms (1.1%)

Pruning

65 alts after pruning (57 fresh and 8 done)

	Pruned	Kept	Total
New	665	31	696
Fresh	4	26	30
Picked	2	3	5
Done	0	5	5
Total	671	65	736

Accurracy

100.0%

Counts

736 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	14.3%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	23.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	19.7%	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	30.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	21.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	26.3%	(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	25.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (sin.f64 kx)) 2))
	87.8%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	41.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
	30.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (sin.f64 kx))))
▶	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	17.3%	(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	18.8%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	28.8%	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
▶	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	21.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	9.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	14.7%	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
	25.1%	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
	99.3%	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
	33.4%	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
▶	30.6%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.6%	(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
	33.6%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	95.4%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	26.3%	(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
	30.8%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
	75.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
	17.3%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	23.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	21.5%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	50.9%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
	28.5%	(.f64 (sin.f64 ky) (.f64 (pow.f64 (pow.f64 (sin.f64 kx) -1/2) 2) (sin.f64 th)))
✓	33.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	23.9%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
	19.0%	(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
	44.6%	(.f64 (sin.f64 ky) (.f64 (fabs.f64 (/.f64 1 (sin.f64 kx))) (sin.f64 th)))
	29.0%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	22.5%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
	9.9%	(*.f64 -1/6 (pow.f64 th 3))
✓	24.2%	(sin.f64 th)
	24.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
▶	13.3%	(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
	13.0%	(log.f64 (+.f64 th 1))
✓	22.6%	(log.f64 (exp.f64 (sin.f64 th)))
▶	12.3%	(log.f64 1)
	30.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	27.8%	(fabs.f64 (sin.f64 th))
	24.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	13.9%	(exp.f64 (log.f64 (sin.f64 th)))
	24.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	14.2%	th
	24.2%	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	14.3%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	23.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	19.7%	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	30.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	21.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	26.3%	(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	25.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (sin.f64 kx)) 2))
	87.8%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	41.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
	30.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (sin.f64 kx))))
▶	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	17.3%	(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	18.8%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	28.8%	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
▶	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	21.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	9.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	14.7%	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
	25.1%	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
	99.3%	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
	33.4%	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
▶	30.6%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.6%	(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
	33.6%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	95.4%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	26.3%	(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
	30.8%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
	75.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
	17.3%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	23.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	21.5%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	50.9%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
	28.5%	(.f64 (sin.f64 ky) (.f64 (pow.f64 (pow.f64 (sin.f64 kx) -1/2) 2) (sin.f64 th)))
✓	33.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	23.9%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
	19.0%	(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
	44.6%	(.f64 (sin.f64 ky) (.f64 (fabs.f64 (/.f64 1 (sin.f64 kx))) (sin.f64 th)))
	29.0%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	22.5%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
	9.9%	(*.f64 -1/6 (pow.f64 th 3))
✓	24.2%	(sin.f64 th)
	24.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
▶	13.3%	(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
	13.0%	(log.f64 (+.f64 th 1))
✓	22.6%	(log.f64 (exp.f64 (sin.f64 th)))
▶	12.3%	(log.f64 1)
	30.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	27.8%	(fabs.f64 (sin.f64 th))
	24.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	13.9%	(exp.f64 (log.f64 (sin.f64 th)))
	24.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	14.2%	th

Compiler

Compiled 3030 to 2292 computations (24.4% saved)

localize364.0ms (1.7%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(*.f64 (sin.f64 ky) th)
✓	95.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	99.3%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	95.4%	(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓	100.0%	(fma.f64 1/2 (*.f64 th th) (+.f64 th 1))
✓	31.9%	(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(/.f64 1 (sin.f64 ky))
✓	99.7%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	99.5%	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))

Compiler

Compiled 134 to 42 computations (68.7% saved)

series34.0ms (0.2%)

Counts

9 → 200

Calls

57 calls:

Time	Variable		Point	Expression
13.0ms	th	@	-inf	(*.f64 (sin.f64 ky) th)
2.0ms	ky	@	inf	(*.f64 (sin.f64 ky) th)
1.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	kx	@	0	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	ky	@	inf	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite153.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`prod-diff`
556×	`add-sqr-sqrt`
544×	`pow1`
542×	`*-un-lft-identity`
512×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	215
1	539	209
2	7530	209

Stop Event

1×	node limit

Counts

9 → 284

Calls

Call 1

Inputs
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (sin.f64 ky))
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(fma.f64 1/2 (*.f64 th th) (+.f64 th 1))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) th)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 1)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1) (sin.f64 ky))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1) (neg.f64 (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (/.f64 1 (sin.f64 ky)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (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 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 1 (sin.f64 ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (sin.f64 ky))
(*.f64 (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1) (neg.f64 (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 ky)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 ky)))
(*.f64 (/.f64 1 (sin.f64 ky)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) -2)) (/.f64 1 (cbrt.f64 (sin.f64 ky))))
(*.f64 (pow.f64 (sin.f64 ky) -1/2) (pow.f64 (sin.f64 ky) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 ky))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 ky)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) -1) (pow.f64 (sqrt.f64 (sin.f64 ky)) -1))
(pow.f64 (sin.f64 ky) -1)
(pow.f64 (/.f64 1 (sin.f64 ky)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 ky) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 ky) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 ky))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 ky))))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))))) 1)
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))))
(.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))) 1)
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
(.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
(exp.f64 (.f64 (log.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)) 1))
(+.f64 (+.f64 1 th) (.f64 1/2 (.f64 th th)))
(+.f64 (.f64 1/2 (.f64 th th)) (+.f64 1 th))
(+.f64 (.f64 (.f64 1/2 (*.f64 th th)) 1) (+.f64 1 th))
(+.f64 (+.f64 (.f64 1/2 (.f64 th th)) 1) th)
(+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))) 1)
(.f64 1 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))
(.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)) 1)
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))) (sqrt.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 th th)) 3) (pow.f64 (+.f64 1 th) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 th th)) (.f64 1/2 (.f64 th th))) (-.f64 (pow.f64 (+.f64 1 th) 2) (.f64 (.f64 1/2 (.f64 th th)) (+.f64 1 th)))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 th th)) (.f64 1/2 (.f64 th th))) (pow.f64 (+.f64 1 th) 2)) (-.f64 (.f64 1/2 (*.f64 th th)) (+.f64 1 th)))
(pow.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 th th) (+.f64 1 th)))))
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(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) 1)
(pow.f64 (*.f64 (sin.f64 ky) th) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) th))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) th)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-r`
1042×	`fma-def`
562×	`times-frac`
520×	`*-commutative`
416×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1023	21646
1	2839	20324

Stop Event

1×	node limit

Counts

484 → 567

Calls

Call 1

Inputs
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx))) ky) (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx))) ky) (+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (sin.f64 kx)) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 -1/6 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 1/120 (sin.f64 kx)))))))) (pow.f64 ky 5)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (.f64 1/4 (/.f64 (.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 ky)
(+.f64 (*.f64 1/6 ky) (/.f64 1 ky))
(+.f64 (.f64 1/6 ky) (+.f64 (.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky)))
(+.f64 (.f64 1/6 ky) (+.f64 (.f64 31/15120 (pow.f64 ky 5)) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky))))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 1/8 (pow.f64 th 4)) th))
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 1/8 (pow.f64 th 4)) (+.f64 (*.f64 -1/20 (pow.f64 th 5)) th)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 th))))
(+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th))))) (*.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 th 4))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th)))))) (.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2))
(+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2))) (*.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 th 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2)))) (.f64 4/3 (/.f64 1 (pow.f64 th 3))))
1
(+.f64 1 th)
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 1 th))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 1 th))
(*.f64 1/2 (pow.f64 th 2))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(*.f64 1/2 (pow.f64 th 2))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))
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(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) ky) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
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(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) th) (sin.f64 ky))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (.f64 th ky) (sin.f64 kx)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
th
(+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) th) (pow.f64 (sin.f64 ky) 2))) (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) th) (pow.f64 (sin.f64 ky) 2))) (.f64 1/4 (/.f64 (.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (.f64 -1/2 (/.f64 (.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(*.f64 th ky)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (*.f64 th ky))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 ky 5) th)) (*.f64 th ky)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 ky 7) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 ky 5) th)) (*.f64 th ky))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 1)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1) (sin.f64 ky))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))
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(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 2))
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(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (/.f64 1 (sin.f64 ky)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
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(pow.f64 (pow.f64 (sin.f64 ky) -1/2) 2)
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(log.f64 (exp.f64 (/.f64 1 (sin.f64 ky))))
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(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 ky))))
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(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 1 th)))))
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(+.f64 (+.f64 1 th) (.f64 1/2 (.f64 th th)))
(+.f64 (.f64 1/2 (.f64 th th)) (+.f64 1 th))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 kx) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) 2)
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) -1)
(neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) (sin.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (/.f64 1 (sin.f64 kx)) (pow.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) (sin.f64 th)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) (sin.f64 th)))) -1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) -1))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) 1) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2)) (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 kx))) (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -2))
(log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) (sin.f64 th)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (log.f64 (sin.f64 kx))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(.f64 (sin.f64 ky) (.f64 th (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 1 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 th (.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 ky) (neg.f64 th)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (.f64 (sin.f64 ky) th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 th (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 th 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) 1)
(pow.f64 (*.f64 (sin.f64 ky) th) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) th))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) th)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))

Outputs
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx)))))
(fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx))) ky) (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 kx) ky) (fma.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx))) ky (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx))) (*.f64 (sin.f64 kx) 1/120))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 kx) ky) (fma.f64 (-.f64 (/.f64 (+.f64 -1/6 (.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 kx)) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 (sin.f64 kx) 1/6)) (.f64 (sin.f64 kx) 1/120))) (pow.f64 ky 3) (.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx))) ky) (+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (sin.f64 kx)) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 -1/6 (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (.f64 -1/6 (sin.f64 kx)))) (.f64 1/120 (sin.f64 kx)))))))) (pow.f64 ky 5)))))
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1
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(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(sin.f64 th)
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 ky)
(+.f64 (*.f64 1/6 ky) (/.f64 1 ky))
(fma.f64 1/6 ky (/.f64 1 ky))
(fma.f64 ky 1/6 (/.f64 1 ky))
(+.f64 (.f64 1/6 ky) (+.f64 (.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky)))
(fma.f64 1/6 ky (fma.f64 7/360 (pow.f64 ky 3) (/.f64 1 ky)))
(fma.f64 ky 1/6 (fma.f64 (pow.f64 ky 3) 7/360 (/.f64 1 ky)))
(+.f64 (.f64 1/6 ky) (+.f64 (.f64 31/15120 (pow.f64 ky 5)) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky))))
(fma.f64 1/6 ky (fma.f64 31/15120 (pow.f64 ky 5) (fma.f64 7/360 (pow.f64 ky 3) (/.f64 1 ky))))
(fma.f64 ky 1/6 (fma.f64 (pow.f64 ky 5) 31/15120 (fma.f64 (pow.f64 ky 3) 7/360 (/.f64 1 ky))))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 1/8 (pow.f64 th 4)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/8 (pow.f64 th 4) th))
(+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 1/8 (pow.f64 th 4)) (+.f64 (*.f64 -1/20 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/8 (pow.f64 th 4) (fma.f64 -1/20 (pow.f64 th 5) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/8 (pow.f64 th 4) (fma.f64 (pow.f64 th 5) -1/20 th)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 th))))
(+.f64 (log.f64 1/2) (*.f64 -2 (neg.f64 (log.f64 th))))
(fma.f64 -2 (neg.f64 (log.f64 th)) (log.f64 1/2))
(+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th)))))
(+.f64 (+.f64 (log.f64 1/2) (*.f64 -2 (neg.f64 (log.f64 th)))) (/.f64 2 th))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 th)) (log.f64 1/2)) (/.f64 2 th))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th))))) (*.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(+.f64 (/.f64 2 th) (-.f64 (+.f64 (log.f64 1/2) (*.f64 -2 (neg.f64 (log.f64 th)))) (/.f64 4/3 (pow.f64 th 3))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 th)) (log.f64 1/2)) (+.f64 (/.f64 2 th) (/.f64 -4/3 (pow.f64 th 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 th 4))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 th)))))) (.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(+.f64 (/.f64 2 th) (-.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 th 4)) (log.f64 1/2)) (*.f64 -2 (neg.f64 (log.f64 th)))) (/.f64 4/3 (pow.f64 th 3))))
(+.f64 (+.f64 (/.f64 2 th) (/.f64 2 (pow.f64 th 4))) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 th)) (log.f64 1/2)) (/.f64 -4/3 (pow.f64 th 3))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2))
(+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2)))
(+.f64 (/.f64 2 th) (fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2))) (*.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(-.f64 (+.f64 (/.f64 2 th) (fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2))) (/.f64 4/3 (pow.f64 th 3)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2)) (-.f64 (/.f64 2 th) (/.f64 4/3 (pow.f64 th 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 th)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 th 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 th))) (log.f64 1/2)))) (.f64 4/3 (/.f64 1 (pow.f64 th 3))))
(-.f64 (+.f64 (+.f64 (/.f64 2 th) (/.f64 2 (pow.f64 th 4))) (fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2))) (/.f64 4/3 (pow.f64 th 3)))
(+.f64 (/.f64 2 th) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 th)) (log.f64 1/2)) (-.f64 (/.f64 2 (pow.f64 th 4)) (/.f64 4/3 (pow.f64 th 3)))))
1
(+.f64 1 th)
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 1 th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 1 th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(*.f64 1/2 (pow.f64 th 2))
(.f64 1/2 (.f64 th th))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(fma.f64 1/2 (*.f64 th th) th)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(*.f64 1/2 (pow.f64 th 2))
(.f64 1/2 (.f64 th th))
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(fma.f64 1/2 (*.f64 th th) th)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 th 2)) th))
(+.f64 1 (fma.f64 1/2 (*.f64 th th) th))
(+.f64 th (fma.f64 1/2 (*.f64 th th) 1))
(/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 kx (*.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 th) (sin.f64 ky)))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(+.f64 (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (.f64 (sin.f64 ky) (sin.f64 th))))))
(+.f64 (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 (/.f64 -1/6 (sin.f64 ky)) (/.f64 (pow.f64 kx 3) (sin.f64 th)))))
(+.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 kx 7) (.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 th) (sin.f64 ky)))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))))
(+.f64 (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) (sin.f64 th)))))))
(+.f64 (/.f64 kx (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) (.f64 (sin.f64 ky) (sin.f64 th))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (/.f64 -1/6 (sin.f64 ky)) (/.f64 (pow.f64 kx 3) (sin.f64 th))))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky)
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) ky) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (fma.f64 -1 (.f64 (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360)) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky)))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (-.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky) (.f64 (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))))) (+.f64 (.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 1/720 (/.f64 (sin.f64 kx) (sin.f64 th))))) (pow.f64 ky 5))) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) ky)))))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (fma.f64 -1 (.f64 (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360)) (fma.f64 -1 (.f64 (pow.f64 ky 5) (fma.f64 1/6 (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/840))) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky) (.f64 (pow.f64 ky 5) (fma.f64 1/6 (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/840)))) (.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) th) (sin.f64 ky))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) th)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 kx) th) (sin.f64 ky))) (+.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) th)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 ky)))) (pow.f64 th 3)))))
(+.f64 (fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) th)) (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) th))) (neg.f64 (.f64 (pow.f64 th 3) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) -7/360))))
(-.f64 (fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) th)) (/.f64 (sin.f64 kx) (.f64 (sin.f64 ky) th))) (.f64 (*.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) -7/360))
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th
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 ky) th))
(*.f64 th ky)
(*.f64 ky th)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (*.f64 th ky))
(fma.f64 -1/6 (.f64 (pow.f64 ky 3) th) (.f64 ky th))
(.f64 th (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 ky 5) th)) (*.f64 th ky)))
(fma.f64 -1/6 (.f64 (pow.f64 ky 3) th) (fma.f64 1/120 (.f64 (pow.f64 ky 5) th) (*.f64 ky th)))
(fma.f64 -1/6 (.f64 (pow.f64 ky 3) th) (.f64 th (+.f64 ky (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 ky 7) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 ky 5) th)) (*.f64 th ky))))
(fma.f64 -1/6 (.f64 (pow.f64 ky 3) th) (fma.f64 -1/5040 (.f64 th (pow.f64 ky 7)) (fma.f64 1/120 (.f64 (pow.f64 ky 5) th) (.f64 ky th))))
(fma.f64 -1/6 (.f64 (pow.f64 ky 3) th) (fma.f64 -1/5040 (.f64 th (pow.f64 ky 7)) (.f64 th (+.f64 ky (.f64 1/120 (pow.f64 ky 5))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1) (neg.f64 (sin.f64 ky)))
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(*.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 3)
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(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3) 1/3)
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(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
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(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 2))
(fabs.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (/.f64 1 (sin.f64 ky)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (/.f64 1 (pow.f64 (sin.f64 ky) 3))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (/.f64 1 (pow.f64 (sin.f64 ky) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (/.f64 1 (pow.f64 (sin.f64 ky) 3))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (/.f64 1 (pow.f64 (sin.f64 ky) 3))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (.f64 (cbrt.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 th 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))
(/.f64 (*.f64 th (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) -1)
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) th))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (.f64 (neg.f64 th) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) 1)
(*.f64 (sin.f64 ky) th)
(pow.f64 (*.f64 (sin.f64 ky) th) 1)
(*.f64 (sin.f64 ky) th)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 3)
(*.f64 (sin.f64 ky) th)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) 1/3)
(*.f64 (sin.f64 ky) th)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) 2)
(*.f64 (sin.f64 ky) th)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2))
(fabs.f64 (*.f64 (sin.f64 ky) th))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) th)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(*.f64 (sin.f64 ky) th)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) th)
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) th)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) th)) 1))
(*.f64 (sin.f64 ky) th)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) th)

eval270.0ms (1.3%)

Compiler: Compiled 18667 to 8639 computations (53.7% saved)

prune191.0ms (0.9%)

Pruning

77 alts after pruning (68 fresh and 9 done)

	Pruned	Kept	Total
New	778	22	800
Fresh	6	46	52
Picked	2	3	5
Done	2	6	8
Total	788	77	865

Accurracy

100.0%

Counts

865 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	14.3%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	23.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	19.7%	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	30.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	21.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	47.3%	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	26.3%	(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	28.0%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	25.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (sin.f64 kx)) 2))
	87.8%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
✓	95.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	41.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
	30.8%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (sin.f64 kx))))
✓	46.9%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	17.3%	(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
	20.5%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	18.8%	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	23.9%	(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	16.9%	(/.f64 (*.f64 ky th) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	23.9%	(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
	28.8%	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
✓	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	33.5%	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.0%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	21.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	9.1%	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	14.7%	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
	25.1%	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
	19.6%	(/.f64 ky (/.f64 (sin.f64 kx) th))
	95.2%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	50.7%	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) th))
	30.5%	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
	18.6%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
	21.2%	(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
	33.4%	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
	33.3%	(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
	30.4%	(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
	33.4%	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
	13.6%	(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
	33.6%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	95.4%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
	95.3%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
	30.8%	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	33.6%	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	26.3%	(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
	75.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
	17.3%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
	51.0%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	21.5%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	50.9%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
	33.6%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
	23.9%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
	19.0%	(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
	44.6%	(.f64 (sin.f64 ky) (.f64 (fabs.f64 (/.f64 1 (sin.f64 kx))) (sin.f64 th)))
	29.0%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	22.5%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
	9.9%	(*.f64 -1/6 (pow.f64 th 3))
✓	24.2%	(sin.f64 th)
	24.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	3.3%	(log.f64 (fma.f64 1/2 (*.f64 th th) th))
	13.3%	(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
	13.0%	(log.f64 (+.f64 th 1))
	3.8%	(log.f64 (.f64 1/2 (.f64 th th)))
✓	22.6%	(log.f64 (exp.f64 (sin.f64 th)))
✓	12.3%	(log.f64 1)
	30.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	27.8%	(fabs.f64 (sin.f64 th))
	24.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	13.9%	(exp.f64 (log.f64 (sin.f64 th)))
	24.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	14.2%	th

Compiler

Compiled 2011 to 1118 computations (44.4% saved)

regimes410.0ms (1.9%)

Counts

106 → 1

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (fabs.f64 (/.f64 1 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (sin.f64 kx)) 2))
(.f64 (sin.f64 ky) (.f64 (pow.f64 (pow.f64 (sin.f64 kx) -1/2) 2) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sqrt.f64 (-.f64 1/2 (.f64 (cos.f64 (+.f64 kx kx)) 1/2))) (sin.f64 ky)))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 kx kx)) 2)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (.f64 1/2 (cos.f64 (.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))

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

Calls

9 calls:

48.0ms	th
47.0ms	(sin.f64 th)
47.0ms	ky
47.0ms	kx
47.0ms	(sin.f64 ky)

Results

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

Compiler

Compiled 1129 to 458 computations (59.4% saved)

regimes921.0ms (4.3%)

Counts

79 → 4

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (fabs.f64 (/.f64 1 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (sin.f64 kx))))

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

Calls

6 calls:

177.0ms	(sin.f64 kx)
167.0ms	(sin.f64 ky)
162.0ms	kx
161.0ms	(sin.f64 th)
142.0ms	ky

Results

Accuracy	Segments	Branch
61.7%	5	`kx`
72.1%	4	`ky`
74.0%	3	`th`
75.1%	4	`(sin.f64 ky)`
59.8%	4	`(sin.f64 kx)`
76.8%	4	`(sin.f64 th)`

Compiler

Compiled 707 to 294 computations (58.4% saved)

regimes430.0ms (2%)

Counts

72 → 6

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

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

Calls

3 calls:

207.0ms	(sin.f64 th)
114.0ms	(sin.f64 ky)
92.0ms	th

Results

Accuracy	Segments	Branch
66.1%	4	`(sin.f64 ky)`
69.8%	3	`th`
76.5%	6	`(sin.f64 th)`

Compiler

Compiled 612 to 255 computations (58.3% saved)

regimes901.0ms (4.2%)

Counts

69 → 5

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))

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

Calls

4 calls:

305.0ms	th
220.0ms	(sin.f64 th)
202.0ms	(sin.f64 ky)
156.0ms	ky

Results

Accuracy	Segments	Branch
63.5%	5	`(sin.f64 ky)`
46.4%	5	`th`
55.6%	3	`ky`
52.8%	7	`(sin.f64 th)`

Compiler

Compiled 586 to 252 computations (57% saved)

regimes552.0ms (2.6%)

Counts

68 → 6

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))

Outputs
(fabs.f64 (sin.f64 th))
(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)

Calls

4 calls:

167.0ms	(sin.f64 ky)
137.0ms	ky
117.0ms	(sin.f64 kx)
115.0ms	kx

Results

Accuracy	Segments	Branch
52.7%	5	`ky`
54.6%	3	`(sin.f64 kx)`
52.8%	3	`kx`
59.8%	6	`(sin.f64 ky)`

Compiler

Compiled 577 to 250 computations (56.7% saved)

regimes148.0ms (0.7%)

Counts

67 → 5

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))

Outputs
(fabs.f64 (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)

Calls

1 calls:

132.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
58.2%	5	`(sin.f64 ky)`

Compiler

Compiled 555 to 238 computations (57.1% saved)

regimes398.0ms (1.9%)

Counts

65 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx)))))))
(.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))

Outputs
(/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(fabs.f64 (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))

Calls

2 calls:

251.0ms	(sin.f64 ky)
132.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
54.6%	3	`(sin.f64 kx)`
57.3%	5	`(sin.f64 ky)`

Compiler

Compiled 542 to 239 computations (55.9% saved)

regimes317.0ms (1.5%)

Counts

60 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 (.f64 (sin.f64 ky) th) 1/6)))
(/.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 kx))))))

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

Calls

2 calls:

172.0ms	(sin.f64 kx)
122.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
55.3%	3	`(sin.f64 ky)`
49.7%	3	`(sin.f64 kx)`

Compiler

Compiled 474 to 195 computations (58.9% saved)

regimes70.0ms (0.3%)

Counts

37 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(log.f64 (fma.f64 1/2 (*.f64 th th) (+.f64 th 1)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 kx) (sin.f64 th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky))
(.f64 (sin.f64 ky) (.f64 (+.f64 (*.f64 1/6 kx) (/.f64 1 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)

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

Calls

1 calls:

62.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
55.2%	3	`(sin.f64 ky)`

Compiler

Compiled 240 to 113 computations (52.9% saved)

regimes141.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))

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

Calls

4 calls:

43.0ms	(sin.f64 kx)
40.0ms	(sin.f64 ky)
27.0ms	kx
26.0ms	ky

Results

Accuracy	Segments	Branch
42.3%	3	`ky`
39.8%	4	`(sin.f64 kx)`
39.3%	3	`kx`
48.7%	3	`(sin.f64 ky)`

Compiler

Compiled 121 to 65 computations (46.3% saved)

regimes47.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
36.9%	3	`(sin.f64 th)`
45.2%	3	`(sin.f64 ky)`

Compiler

Compiled 85 to 52 computations (38.8% saved)

regimes114.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))
(fabs.f64 (sin.f64 th))
(pow.f64 (/.f64 1 (sin.f64 th)) -1)
(log.f64 (fma.f64 1/2 (*.f64 th th) th))

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

Calls

3 calls:

50.0ms	ky
21.0ms	th
17.0ms	kx

Results

Accuracy	Segments	Branch
35.4%	2	`kx`
39.2%	3	`ky`
35.8%	3	`th`

Compiler

Compiled 80 to 50 computations (37.5% saved)

regimes76.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(log.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 th th)) th) 1))

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

Calls

4 calls:

23.0ms	(sin.f64 kx)
20.0ms	(sin.f64 th)
18.0ms	ky
13.0ms	kx

Results

Accuracy	Segments	Branch
31.8%	2	`kx`
31.3%	3	`(sin.f64 th)`
32.3%	3	`(sin.f64 kx)`
36.5%	3	`ky`

Compiler

Compiled 70 to 47 computations (32.9% saved)

regimes105.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

Inputs
th
(log.f64 1)
(sin.f64 th)
(log.f64 (+.f64 th 1))
(*.f64 -1/6 (pow.f64 th 3))
(log.f64 (.f64 1/2 (.f64 th th)))

Outputs
(sin.f64 th)
(log.f64 1)

Calls

4 calls:

49.0ms	(sin.f64 th)
27.0ms	kx
14.0ms	ky
13.0ms	th

Results

Accuracy	Segments	Branch
27.2%	3	`(sin.f64 th)`
29.3%	2	`kx`
27.2%	3	`th`
30.6%	3	`ky`

Compiler

Compiled 40 to 30 computations (25% saved)

regimes21.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
th
(log.f64 1)

Outputs
th
(log.f64 1)

Calls

3 calls:

8.0ms	ky
7.0ms	th
6.0ms	kx

Results

Accuracy	Segments	Branch
16.2%	2	`th`
21.3%	3	`ky`
20.0%	2	`kx`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

3.0ms	th
3.0ms	kx
2.0ms	ky

Results

Accuracy	Segments	Branch
14.2%	1	`th`
14.2%	1	`ky`
14.2%	1	`kx`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.8630082890214131	0.8730563779614614
0.0ms	6.847514497339723e-8	0.010854635717208693
0.0ms	-0.010624640550266505	-2.734080084129512e-5

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch2.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.8630082890214131	0.8730563779614614
0.0ms	6.847514497339723e-8	0.010854635717208693
1.0ms	-0.010624640550266505	-2.734080084129512e-5
0.0ms	-0.6701088234035614	-0.6200932399518333
0.0ms	-0.8002337912467324	-0.7983915094921177

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.856734060954409e-43	8.712680291419944e-42
0.0ms	-0.15769100477576783	-0.14470067205263346
0.0ms	-0.43969722419330054	-0.3604002332158181
0.0ms	-0.8545512981598256	-0.8435362410170234

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.6614417435689212e-6	0.0014848009968191464
0.0ms	4.5051247733036193e-128	6.023080871852922e-126
0.0ms	-3.1860629754726325e-158	-2.9785188284326858e-164
0.0ms	-0.006480056255032521	-1.1598115150488667e-8
0.0ms	-0.8545512981598256	-0.8435362410170234

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.6614417435689212e-6	0.0014848009968191464
0.0ms	4.5051247733036193e-128	6.023080871852922e-126
0.0ms	-3.1860629754726325e-158	-2.9785188284326858e-164
0.0ms	-0.15769100477576783	-0.14470067205263346

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7619319475445797e-89	2.5456695807073716e-87
0.0ms	-0.010199311232186087	7.296135958341468e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.856734060954409e-43	8.712680291419944e-42
0.0ms	-0.15769100477576783	-0.14470067205263346

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.856734060954409e-43	8.712680291419944e-42
0.0ms	-0.006480056255032521	-1.1598115150488667e-8

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.520604968205982e-135	4.5051247733036193e-128
0.0ms	-4.3073098987173294e-97	-8.231769856822297e-103

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0457444971524997e-191	1.849558205484126e-189
0.0ms	-8.833987309511547e-137	-2.5526356725903304e-148

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch197.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
110.0ms	3.6614417435771023e-6	0.0014848015423934813
86.0ms	-8.833987309511547e-137	-2.5526356725903304e-148

Results

100.0ms	96×	body	1024	valid
62.0ms	61×	body	512	valid
31.0ms	131×	body	256	valid

Compiler

Compiled 331 to 253 computations (23.6% saved)

bsearch174.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	1.0457444971524997e-191	1.849558205484126e-189
97.0ms	-1258410257747.9568	-1.1598115150488667e-8

Results

118.0ms	121×	body	1024	valid
28.0ms	119×	body	256	valid
23.0ms	48×	body	512	valid

Compiler

Compiled 313 to 235 computations (24.9% saved)

bsearch63.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
62.0ms	3.5097610023691783e-13	1.6486320993931e-11

Results

40.0ms	41×	body	1024	valid
13.0ms	53×	body	256	valid
8.0ms	18×	body	512	valid

Compiler

Compiled 109 to 96 computations (11.9% saved)

bsearch57.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	7.212409604831492e-14	3.5097610023691783e-13

Results

32.0ms	42×	body	1024	valid
14.0ms	40×	body	256	valid
10.0ms	14×	body	512	valid

Compiler

Compiled 91 to 79 computations (13.2% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
8×	`sub-neg`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`fabs-div`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1394
1	166	1394
2	179	1394
3	185	1394
4	189	1394
5	190	1394

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 944473296573929/9444732965739290427392) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 7836263351624663/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 th) -3602879701896397/4503599627370496) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (if (<=.f64 (sin.f64 th) -5854679515581645/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 th) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 944473296573929/9444732965739290427392) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 7836263351624663/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))))
(if (<=.f64 (sin.f64 ky) -7656119366529843/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -3602879701896397/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -7656119366529843/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -5764607523034235/1152921504606846976) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))))
(if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 kx) 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (fabs.f64 (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5764607523034235/1152921504606846976) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5237424972633827/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -576116746989721/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2184094498327211/590295810358705651712) (/.f64 ky (/.f64 (sin.f64 kx) th)) (fabs.f64 (sin.f64 th))))
(if (<=.f64 ky -22) (sin.f64 th) (if (<=.f64 ky 4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (/.f64 ky (/.f64 (sin.f64 kx) th)) (sin.f64 th)))
(if (<=.f64 kx 4085202129641755/2475880078570760549798248448) (sin.f64 th) (log.f64 1))
(if (<=.f64 kx 1436010445571041/9903520314283042199192993792) th (log.f64 1))
th

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 944473296573929/9444732965739290427392) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 7836263351624663/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/576460752303423488) (/.f64 (.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 944473296573929/9444732965739290427392) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 7836263351624663/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 th) -3602879701896397/4503599627370496) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (if (<=.f64 (sin.f64 th) -5854679515581645/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 th) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 944473296573929/9444732965739290427392) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 7836263351624663/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))))
(if (<=.f64 (sin.f64 ky) -7656119366529843/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -3602879701896397/9007199254740992) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -7656119366529843/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -5764607523034235/1152921504606846976) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))))
(if (<=.f64 (sin.f64 ky) -7656119366529843/9007199254740992) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -5764607523034235/1152921504606846976) (/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))))
(if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 th ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (if (<=.f64 (sin.f64 ky) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 5902958103587057/1180591620717411303424) (/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/576460752303423488) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx)))))) (if (<=.f64 (sin.f64 kx) 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (fabs.f64 (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/576460752303423488) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 kx 2)))))) (if (<=.f64 (sin.f64 kx) 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (fabs.f64 (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) -5404319552844595/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5764607523034235/1152921504606846976) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5237424972633827/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -576116746989721/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2184094498327211/590295810358705651712) (/.f64 ky (/.f64 (sin.f64 kx) th)) (fabs.f64 (sin.f64 th))))
(if (or (<=.f64 ky -576116746989721/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (not (<=.f64 ky 2184094498327211/590295810358705651712))) (fabs.f64 (sin.f64 th)) (/.f64 ky (/.f64 (sin.f64 kx) th)))
(if (<=.f64 ky -22) (sin.f64 th) (if (<=.f64 ky 4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (/.f64 ky (/.f64 (sin.f64 kx) th)) (sin.f64 th)))
(if (<=.f64 kx 4085202129641755/2475880078570760549798248448) (sin.f64 th) (log.f64 1))
(if (<=.f64 kx 4085202129641755/2475880078570760549798248448) (sin.f64 th) 0)
(if (<=.f64 kx 1436010445571041/9903520314283042199192993792) th (log.f64 1))
(if (<=.f64 kx 1436010445571041/9903520314283042199192993792) th 0)
th

Compiler

Compiled 534 to 300 computations (43.8% saved)

soundness3.2s (15.2%)

Rules

1892×	`prod-diff`
1892×	`prod-diff`
1680×	`associate-*r/`
1680×	`associate-*r/`
1680×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	28	35
2	54	35
3	82	35
4	163	35
5	463	35
6	1755	35
7	3059	35
8	3846	35
9	4090	35
10	4411	35
11	4875	35
12	5505	35
13	7121	35
0	16	51
1	28	35
2	54	35
3	82	35
4	163	35
5	463	35
6	1755	35
7	3059	35
8	3846	35
9	4090	35
10	4411	35
11	4875	35
12	5505	35
13	7121	35
0	29	310
1	658	278
0	16	51
1	28	35
2	54	35
3	82	35
4	163	35
5	463	35
6	1755	35
7	3059	35
8	3846	35
9	4090	35
10	4411	35
11	4875	35
12	5505	35
13	7121	35
0	1023	21646
1	2839	20324
0	29	310
1	658	278
0	1042	31693
1	2851	30057
0	22	287
1	489	287
2	5596	287
0	909	41840
1	2359	37716
0	16	51
1	28	35
2	54	35
3	82	35
4	163	35
5	463	35
6	1755	35
7	3059	35
8	3846	35
9	4090	35
10	4411	35
11	4875	35
12	5505	35
13	7121	35
0	22	287
1	489	287
2	5596	287
0	909	41840
1	2359	37716
0	33	234
1	706	194
0	977	19188
1	2599	18312
0	29	310
1	658	278
0	1042	31693
1	2851	30057
0	33	234
1	706	194
0	25	215
1	539	209
2	7530	209
0	1023	21646
1	2839	20324
0	33	234
1	706	194
0	977	19188
1	2599	18312

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1243 to 579 computations (53.4% saved)

end1.0ms (0%)

preprocess165.0ms (0.8%)

Remove: (abs kx)
Compiler: Compiled 1044 to 402 computations (61.5% saved)

analyze737.0ms (3.5%)

sample5.5s (25.9%)

preprocess64.0ms (0.3%)

simplify104.0ms (0.5%)

eval1.0ms (0%)

prune5.0ms (0%)

localize402.0ms (1.9%)

series107.0ms (0.5%)

rewrite160.0ms (0.7%)

simplify270.0ms (1.3%)

eval235.0ms (1.1%)

prune224.0ms (1.1%)

localize665.0ms (3.1%)

series39.0ms (0.2%)

rewrite111.0ms (0.5%)

simplify336.0ms (1.6%)

eval594.0ms (2.8%)

prune310.0ms (1.5%)

localize922.0ms (4.3%)

series24.0ms (0.1%)

rewrite89.0ms (0.4%)

simplify154.0ms (0.7%)

eval257.0ms (1.2%)

prune236.0ms (1.1%)

localize364.0ms (1.7%)

series34.0ms (0.2%)

rewrite153.0ms (0.7%)

simplify162.0ms (0.8%)

eval270.0ms (1.3%)

prune191.0ms (0.9%)

regimes410.0ms (1.9%)

regimes921.0ms (4.3%)

regimes430.0ms (2%)

regimes901.0ms (4.2%)

regimes552.0ms (2.6%)

regimes148.0ms (0.7%)

regimes398.0ms (1.9%)

regimes317.0ms (1.5%)

regimes70.0ms (0.3%)

regimes141.0ms (0.7%)

regimes47.0ms (0.2%)

regimes114.0ms (0.5%)

regimes76.0ms (0.4%)

regimes105.0ms (0.5%)

regimes21.0ms (0.1%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch197.0ms (0.9%)

bsearch174.0ms (0.8%)

bsearch63.0ms (0.3%)

bsearch57.0ms (0.3%)

simplify35.0ms (0.2%)

soundness3.2s (15.2%)

end1.0ms (0%)

preprocess165.0ms (0.8%)

Profiling