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

analyze312.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

Operation ival-pow, time spent: 100.0ms, 43.0% of total-time

Operation ival-sin, time spent: 73.0ms, 31.0% of total-time

Operation ival-sqrt, time spent: 23.0ms, 10.0% of total-time

Operation ival-mult, time spent: 20.0ms, 9.0% of total-time

Operation ival-add, time spent: 8.0ms, 3.0% of total-time

Operation ival-div, time spent: 6.0ms, 3.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

sample2.4s (11.3%)

Results

2.3s	8248×	256	valid
4.0ms	6×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-sin, time spent: 860.0ms, 59.0% of total-time

Operation ival-sqrt, time spent: 181.0ms, 12.0% of total-time

Operation ival-pow, time spent: 150.0ms, 10.0% of total-time

Operation ival-mult, time spent: 136.0ms, 9.0% of total-time

Operation ival-div, time spent: 70.0ms, 5.0% of total-time

Operation ival-add, time spent: 46.0ms, 3.0% of total-time

Operation const, time spent: 21.0ms, 1.0% of total-time

Bogosity

preprocess431.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1262×	`fma-def`
834×	`unswap-sqr`
814×	`associate-/r/`
798×	`distribute-lft-neg-in`
694×	`div-sub`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
20	0	-	3	(3.6530479283732757e-280 6.083429610789086e-159 8.139693113754555e-38)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))`
0	0	-	0	-	`kx`
0	0	-	0	-	`ky`
0	0	-	0	-	`(sin.f64 ky)`
0	0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
0	0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
0	0	-	0	-	`th`
0	0	-	0	-	`(sin.f64 th)`
0	0	-	0	-	`(sin.f64 kx)`
0	57	(2.992701284356886e-65 4.3477102330086935e+141 5.02455395556454e+270)	0	-	`(pow.f64 (sin.f64 kx) 2)`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))`
0	0	-	0	-	`2`
0	64	(2.0494820556283626e-79 3.3057174318739455e-123 5.011540691371368e-275)	0	-	`(pow.f64 (sin.f64 ky) 2)`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	717
1	123	529
2	298	529
3	657	529
4	2780	529
5	7692	529

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

Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

Operation ival-sin, time spent: 99.0ms, 55.0% of total-time

Operation ival-pow, time spent: 34.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 11.0% of total-time

Operation ival-add, time spent: 10.0ms, 6.0% of total-time

Operation ival-div, time spent: 7.0ms, 4.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

Operation ival-mult, time spent: 4.0ms, 2.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	92.9%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize188.0ms (0.9%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	99.7%	(*.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%	(pow.f64 (sin.f64 ky) 2)
✓	99.7%	(pow.f64 (sin.f64 kx) 2)
✓	93.3%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

Compiler

Compiled 103 to 41 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

Operation ival-add, time spent: 55.0ms, 43.0% of total-time

Operation ival-sin, time spent: 21.0ms, 16.0% of total-time

Operation ival-div, time spent: 17.0ms, 13.0% of total-time

Operation ival-pow, time spent: 17.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 8.0% of total-time

Operation ival-mult, time spent: 5.0ms, 4.0% of total-time

Operation ival-hypot, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

series48.0ms (0.2%)

Counts

7 → 136

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	ky	@	-inf	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
4.0ms	ky	@	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
4.0ms	kx	@	0	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
3.0ms	ky	@	0	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
3.0ms	ky	@	inf	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))

rewrite428.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`prod-diff`
789×	`log1p-expm1-u`
789×	`expm1-log1p-u`
440×	`expm1-udef`
440×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	198
1	338	198
2	3438	198

Stop Event

1×	node limit

Counts

7 → 176

Calls

Call 1

Inputs
(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) (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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

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

simplify253.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def`
692×	`associate-r`
624×	`log-prod`
560×	`*-commutative`
560×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	19828
1	1625	18347
2	6558	18347

Stop Event

1×	node limit

Counts

312 → 256

Calls

Call 1

Inputs
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (sin.f64 ky))) (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky)))))
(+.f64 (sin.f64 ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (sin.f64 ky))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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))))) (sin.f64 ky))) (.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))))))
(sin.f64 kx)
(+.f64 (sin.f64 kx) (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))))
(+.f64 (sin.f64 kx) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 kx))) (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))))
(+.f64 (sin.f64 kx) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 6) (-.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 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))))))
(pow.f64 kx 2)
(+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (pow.f64 kx 2))
(+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (pow.f64 kx 2)))
(+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 -1/315 (pow.f64 kx 8)) (+.f64 (*.f64 2/45 (pow.f64 kx 6)) (pow.f64 kx 2))))
(pow.f64 ky 2)
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (pow.f64 ky 2))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (.f64 2/45 (pow.f64 ky 6)) (pow.f64 ky 2)))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (.f64 -1/315 (pow.f64 ky 8)) (+.f64 (*.f64 2/45 (pow.f64 ky 6)) (pow.f64 ky 2))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(/.f64 ky (sin.f64 kx))
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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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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
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(sin.f64 kx)
(+.f64 (sin.f64 kx) (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))))
(+.f64 (sin.f64 kx) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 kx))) (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 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 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sin.f64 ky)
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 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 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
(*.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))
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(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
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(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)
(fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 4)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2)))
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(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
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(cbrt.f64 (pow.f64 (sin.f64 kx) 6))
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(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 ky))))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))
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(exp.f64 (*.f64 2 (log.f64 (sin.f64 ky))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))) 1)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1)
(*.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1)
(*.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) -1)
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
(*.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.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))))
(/.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)))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2))
(fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

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

eval141.0ms (0.7%)

Compiler: Compiled 8633 to 4745 computations (45% saved)

prune54.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	241	15	256
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	242	16	258

Accuracy

100.0%

Counts

258 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
▶	30.6%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	32.3%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
▶	95.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	78.9%	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	80.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 kx 2))) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
	34.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	32.2%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	24.8%	(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
	99.3%	(.f64 (.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	71.3%	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (sin.f64 th))
▶	32.1%	(sin.f64 th)

Compiler

Compiled 450 to 311 computations (30.9% saved)

localize121.0ms (0.6%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	99.3%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	95.4%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (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)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	99.8%	(*.f64 ky (sin.f64 th))
✓	95.1%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	99.8%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	99.8%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))

Compiler

Compiled 135 to 20 computations (85.2% saved)

Precisions

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

Operation ival-sin, time spent: 20.0ms, 46.0% of total-time

Operation ival-div, time spent: 12.0ms, 27.0% of total-time

Operation ival-hypot, time spent: 6.0ms, 14.0% of total-time

Operation ival-mult, time spent: 5.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series58.0ms (0.3%)

Counts

11 → 272

Calls

84 calls:

Time	Variable		Point	Expression
8.0ms	ky	@	inf	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
3.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
2.0ms	th	@	-inf	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	kx	@	-inf	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
2.0ms	kx	@	0	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))

rewrite229.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`prod-diff`
596×	`expm1-udef`
596×	`log1p-udef`
309×	`log1p-expm1-u`
296×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	366
1	399	366
2	5742	366

Stop Event

1×	node limit

Counts

11 → 427

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
(*.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)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))

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

simplify397.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1224×	`times-frac`
1176×	`fma-def`
592×	`*-commutative`
402×	`distribute-rgt-in`
402×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1038	48177
1	2860	43208

Stop Event

1×	node limit

Counts

699 → 588

Calls

Call 1

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

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

eval351.0ms (1.7%)

Compiler: Compiled 16727 to 7370 computations (55.9% saved)

prune153.0ms (0.7%)

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	595	36	631
Fresh	4	6	10
Picked	1	4	5
Done	0	1	1
Total	600	47	647

Accuracy

100.0%

Counts

647 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3) 1/3)
	13.2%	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
	22.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
	30.4%	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (sin.f64 ky)))
	94.6%	(/.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
▶	15.6%	(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	16.2%	(/.f64 (*.f64 th ky) (sin.f64 kx))
	24.6%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	32.3%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	33.3%	(/.f64 (sin.f64 th) (+.f64 (.f64 ky (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (/.f64 (sin.f64 kx) ky)))
	36.0%	(/.f64 (sin.f64 th) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	13.3%	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky)))) (sin.f64 kx))
	27.5%	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	21.7%	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
	15.1%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
	32.3%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	17.8%	(/.f64 ky (/.f64 (sin.f64 kx) th))
	26.2%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	46.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
✓	95.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶	53.8%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
	38.3%	(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	33.0%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶	32.0%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	23.8%	(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
	78.9%	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	32.2%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	24.8%	(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
	32.3%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	32.2%	(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
	21.1%	(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
✓	32.1%	(sin.f64 th)
▶	13.5%	(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
	31.3%	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	22.9%	(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
	20.6%	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))

Compiler

Compiled 1177 to 848 computations (28% saved)

localize1.3s (6.3%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
	100.0%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
	99.9%	(*.f64 ky (sin.f64 th))
✓	99.5%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
✓	95.6%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))
✓	100.0%	(exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
✓	99.9%	(/.f64 (sin.f64 kx) ky)
✓	99.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	57.8%	(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
✓	100.0%	(+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th))
✓	99.9%	(.f64 -1/6 (.f64 ky (pow.f64 th 3)))
✓	96.3%	(*.f64 ky (pow.f64 th 3))
✓	95.2%	(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
✓	99.9%	(/.f64 1 (sin.f64 th))
✓	99.8%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	100.0%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	99.8%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
✓	99.8%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))

Compiler

Compiled 177 to 52 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-sin, time spent: 671.0ms, 65.0% of total-time

Operation ival-div, time spent: 107.0ms, 10.0% of total-time

Operation ival-log, time spent: 77.0ms, 7.0% of total-time

Operation ival-mult, time spent: 62.0ms, 6.0% of total-time

Operation ival-pow, time spent: 53.0ms, 5.0% of total-time

Operation ival-hypot, time spent: 25.0ms, 2.0% of total-time

Operation ival-add, time spent: 23.0ms, 2.0% of total-time

Operation const, time spent: 10.0ms, 1.0% of total-time

Operation ival-exp, time spent: 9.0ms, 1.0% of total-time

series56.0ms (0.3%)

Counts

14 → 315

Calls

102 calls:

Time	Variable		Expression
5.0ms	kx	@	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
3.0ms	ky	@	(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
3.0ms	kx	@	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
2.0ms	th	@	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))
1.0ms	kx	@	(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))

rewrite305.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`expm1-udef`
432×	`associate-r`
294×	`times-frac`
278×	`associate-l`
236×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	441
1	548	435
2	7597	435

Stop Event

1×	node limit

Counts

14 → 479

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) 1)
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 1)
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (/.f64 1 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (sin.f64 th))))
(*.f64 (pow.f64 (sin.f64 th) -1/2) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 -1 (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1) (/.f64 1 (sin.f64 th)))
(.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (/.f64 1 (cbrt.f64 (sin.f64 th))))
(.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (pow.f64 (sin.f64 th) -1/2)) (pow.f64 (sin.f64 th) -1/2))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) -1) (/.f64 -1 (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 2)
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
(neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (pow.f64 (/.f64 1 (sin.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)
(*.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 kx) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.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 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (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 kx) (sin.f64 ky)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2))) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2))) (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 th) 1)
(*.f64 1 (sin.f64 th))
(*.f64 -1 (neg.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) -1))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 th) -1/2) -1))
(pow.f64 (sin.f64 th) 1)
(pow.f64 (/.f64 1 (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))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 th))))
(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))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 th))) -1))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 th)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 th)))
(*.f64 (/.f64 1 (sin.f64 th)) 1)
(*.f64 -1 (/.f64 -1 (sin.f64 th)))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (sin.f64 th) -2)))
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(pow.f64 (pow.f64 (/.f64 1 (sin.f64 th)) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 th) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 th) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 th)))))
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(exp.f64 (*.f64 (log.f64 (sin.f64 th)) -1))
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(pow.f64 (/.f64 (sin.f64 kx) (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx)) 3))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 ky (pow.f64 th 3)))) 1)
(pow.f64 (*.f64 ky (pow.f64 th 3)) 1)
(pow.f64 (*.f64 th (cbrt.f64 ky)) 3)
(pow.f64 (pow.f64 (*.f64 ky (pow.f64 th 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 th 3/2) (sqrt.f64 ky)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 6) (pow.f64 ky 2)))
(log.f64 (pow.f64 (exp.f64 ky) (pow.f64 th 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (pow.f64 th 3)))))
(cbrt.f64 (pow.f64 (*.f64 ky (pow.f64 th 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (pow.f64 th 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) (pow.f64 ky 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (pow.f64 th 3))))
(exp.f64 (log.f64 (*.f64 ky (pow.f64 th 3))))
(exp.f64 (.f64 (log.f64 (.f64 ky (pow.f64 th 3))) 1))
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(-.f64 (exp.f64 (log1p.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) 1)
(pow.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 ky -1/6)) th) 3)
(pow.f64 (.f64 (pow.f64 (.f64 ky (pow.f64 th 3)) 3) -1/216) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 ky -1/6)) (pow.f64 th 3/2)) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 th 6) (pow.f64 ky 2)) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 ky) (pow.f64 th 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 ky (pow.f64 th 3)) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6))))
(exp.f64 (log.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 ky (*.f64 (pow.f64 th 3) -1/6))) 1))
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(.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6))) 1)
(.f64 (cbrt.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) (pow.f64 (cbrt.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) 2) (cbrt.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6)))))
(.f64 (sqrt.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) (sqrt.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6)))))
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(.f64 (-.f64 (.f64 (.f64 (pow.f64 th 6) (pow.f64 ky 2)) 1/36) (pow.f64 (.f64 ky th) 2)) (/.f64 1 (-.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (*.f64 ky th))))
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(log.f64 (exp.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))))))
(cbrt.f64 (pow.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))) 3))
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(exp.f64 (log.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))))
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(fma.f64 th ky (.f64 ky (.f64 (pow.f64 th 3) -1/6)))
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(fma.f64 1 (.f64 ky th) (.f64 ky (*.f64 (pow.f64 th 3) -1/6)))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (.f64 ky th))
(fma.f64 (.f64 ky (pow.f64 th 3)) -1/6 (.f64 ky th))
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(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
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(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
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(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))) 1))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))))
(/.f64 -1 (*.f64 (/.f64 (sin.f64 kx) ky) (/.f64 -1 (sin.f64 th))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (/.f64 (/.f64 (sin.f64 kx) ky) (cbrt.f64 (sin.f64 th))))
(/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (sin.f64 kx) ky) (sqrt.f64 (sin.f64 th))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (sin.f64 kx)) ky))
(/.f64 (/.f64 ky (sin.f64 kx)) (/.f64 1 (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 ky))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 -1 (/.f64 ky (sin.f64 kx))) (/.f64 -1 (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 kx) ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(+.f64 0 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 1 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 1 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (sin.f64 kx)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 ky)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1) ky)
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))
(pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 kx) ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky))) 1)
(*.f64 (sin.f64 kx) (/.f64 1 ky))
(*.f64 1 (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 kx) ky) 1)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 1 ky)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 ky)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 ky)))
(*.f64 (/.f64 1 ky) (sin.f64 kx))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) ky))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) ky))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))
(*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)))
(pow.f64 (/.f64 (sin.f64 kx) ky) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) 2)
(pow.f64 (/.f64 ky (sin.f64 kx)) -1)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 ky)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) ky)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) ky))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) ky)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))) 1)
(*.f64 1 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
(*.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)) (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 1)
(pow.f64 (exp.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)) 2)
(pow.f64 (exp.f64 1) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)) (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))) 1)
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th)))
(.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky))
(.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th))) 1)
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (/.f64 1 ky) (sin.f64 th))))
(.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (/.f64 1 ky) (sin.f64 th))))
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(*.f64 (/.f64 (/.f64 1 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 1 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky) (/.f64 1 (sin.f64 th)))
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(.f64 (/.f64 1 (sqrt.f64 (.f64 ky (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (*.f64 ky (sin.f64 th)))))
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(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky))
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(*.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky) -1) (/.f64 -1 (sin.f64 th)))
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(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))) 2)
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) -1)
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(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))))
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(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 1 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (.f64 ky (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 ky (sin.f64 th)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 (/.f64 1 ky) (sin.f64 th)) -1))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th))) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) -1) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (.f64 ky (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 ky (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky) (sin.f64 th))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (*.f64 ky (sin.f64 th)))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2)) (cbrt.f64 (.f64 ky (sin.f64 th))))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (.f64 ky (sin.f64 th)))) (sqrt.f64 (.f64 ky (sin.f64 th))))
(.f64 (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 ky (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky)) (sin.f64 th))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))) -1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 ky (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 ky (sin.f64 th))) (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))

simplify407.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1564×	`fma-def`
698×	`*-commutative`
670×	`distribute-lft-in`
542×	`sqr-pow`
464×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1309	44269
1	3703	40661

Stop Event

1×	node limit

Counts

794 → 796

Calls

Call 1

Inputs
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (+.f64 (.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 th 5) (+.f64 (.f64 -1/5040 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (+.f64 (.f64 1/720 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 1/6 (+.f64 (.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))))) (+.f64 (.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(+.f64 (.f64 (pow.f64 ky 3) (-.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 (.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 (.f64 (pow.f64 ky 3) (-.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 (.f64 (pow.f64 ky 5) (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.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))) (.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 (*.f64 ky (sin.f64 th)) (sin.f64 kx))))
(+.f64 (.f64 (pow.f64 ky 3) (-.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 (.f64 (pow.f64 ky 5) (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.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))) (.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 (.f64 (pow.f64 ky 7) (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (-.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 (.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 kx)) 2)) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.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))) (.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))))) (pow.f64 (sin.f64 kx) 2))))))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.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 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 kx ky)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (/.f64 kx ky)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 kx 7) ky)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (/.f64 kx ky))))
1
(+.f64 1 (/.f64 (*.f64 ky th) (sin.f64 kx)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 2) (pow.f64 th 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 2) (pow.f64 th 2)) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/6 (/.f64 ky (sin.f64 kx))) (.f64 1/6 (/.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 kx) 3))))) (/.f64 (.f64 ky th) (sin.f64 kx)))))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
1
(+.f64 1 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 th) 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 th) 3)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 th) 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (/.f64 (sin.f64 ky) (.f64 ky (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (/.f64 (sin.f64 ky) (.f64 ky (sin.f64 th)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 ky (.f64 (sin.f64 ky) (sin.f64 th))))) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))
(+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 5) (-.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) (sin.f64 th)))) (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th))))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (.f64 1/6 (.f64 (/.f64 th ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 (/.f64 1 (.f64 ky th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 1/120 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))) (+.f64 (.f64 1/6 (.f64 (/.f64 th ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 (/.f64 1 (.f64 ky th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 1/120 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 th 5) (+.f64 (.f64 -1/5040 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (+.f64 (.f64 1/720 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 1/120 (.f64 (/.f64 1 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))))) (+.f64 (.f64 1/6 (.f64 (/.f64 th ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (.f64 (/.f64 1 (*.f64 ky th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(.f64 (/.f64 1 (.f64 ky (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (.f64 ky (sin.f64 th))) (pow.f64 (sin.f64 ky) 3))) (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 ky)))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/2 (/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 3))) (.f64 -1/4 (/.f64 (.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 ky) 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (.f64 ky (sin.f64 th))) (pow.f64 (sin.f64 ky) 3))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/2 (/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 3))) (.f64 -1/4 (/.f64 (.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 ky) 5)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 3))) (.f64 -1/4 (/.f64 (.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 ky (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 5))) (.f64 1/2 (/.f64 (.f64 ky (.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) 3))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (.f64 ky (sin.f64 th))) (pow.f64 (sin.f64 ky) 3))) (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 ky)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 5) (+.f64 (.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))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 5) (+.f64 (.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))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 ky 7) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.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))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (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 (sin.f64 th) (-.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 (sin.f64 kx) 3))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 ky th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 ky (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (*.f64 ky th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 ky (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 ky (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (.f64 ky th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
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(pow.f64 (.f64 (pow.f64 (.f64 ky (pow.f64 th 3)) 3) -1/216) 1/3)
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(exp.f64 (log.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))))
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(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(+.f64 0 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 1 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 1 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 ky)))
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(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sqrt.f64 ky)) (sqrt.f64 ky))
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(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))) -1)
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(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
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(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
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(*.f64 (/.f64 (sin.f64 kx) ky) 1)
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(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 ky)))
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(*.f64 (/.f64 1 ky) (sin.f64 kx))
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(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3) 1/3)
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(pow.f64 (/.f64 ky (sin.f64 kx)) -1)
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(log.f64 (exp.f64 (/.f64 (sin.f64 kx) ky)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) ky))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 3)))
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(exp.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) 1))
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 3) 1/3)
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(pow.f64 (exp.f64 1) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
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(pow.f64 (exp.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)))
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(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 (/.f64 1 ky) (sin.f64 th)) -1))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th))) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) -1) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th)))) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (.f64 ky (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 ky (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (sqrt.f64 (.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky) (sin.f64 th))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (*.f64 ky (sin.f64 th)))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (.f64 ky (sin.f64 th))) 2)) (cbrt.f64 (.f64 ky (sin.f64 th))))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (.f64 ky (sin.f64 th)))) (sqrt.f64 (.f64 ky (sin.f64 th))))
(.f64 (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 ky (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) ky)) (sin.f64 th))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))) -1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 ky (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 ky (sin.f64 th))) (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))

Outputs
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 6) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 2/45 (/.f64 (.f64 -1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 6) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 2/45 (/.f64 (+.f64 -1/6 (.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 ky 2) (sin.f64 kx)) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 ky 4) (sin.f64 kx)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 ky 2) (sin.f64 kx)) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 ky 4) (sin.f64 kx)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 ky 6) (/.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.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)))))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 ky 2) (sin.f64 kx)) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 ky 4) (sin.f64 kx)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 ky 6) (/.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (-.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))))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 ky 2) (sin.f64 kx)) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)
(+.f64 (.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(fma.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)))
(fma.f64 1/6 (*.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (+.f64 (.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 -1 (.f64 (pow.f64 th 3) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) -7/360)) (fma.f64 1/6 (.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))))
(-.f64 (fma.f64 1/6 (.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)) (.f64 (pow.f64 th 3) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -7/360)))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
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(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
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(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
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(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (sin.f64 th) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))))
(fma.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th))
(+.f64 (sin.f64 th) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.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) 2))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (sin.f64 th) (fma.f64 -1 (.f64 (pow.f64 kx 4) (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))))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))))))
(+.f64 (sin.f64 th) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))) (.f64 (pow.f64 kx 4) (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)))))))
(+.f64 (sin.f64 th) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.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) 2))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.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) 2))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 4))) (.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 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (sin.f64 th) (fma.f64 -1 (.f64 (pow.f64 kx 4) (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))))) (fma.f64 -1 (.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.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 (sin.f64 ky) 2)) (fma.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)))) (.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (-.f64 2/45 (/.f64 (.f64 -1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))))))))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))))))
(+.f64 (-.f64 (sin.f64 th) (.f64 (pow.f64 kx 4) (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)))))) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))) (.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.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 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (-.f64 2/45 (/.f64 (+.f64 -1/6 (.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))))) (/.f64 (.f64 1/4 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 4)))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))
(fma.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (.f64 (.f64 -1/6 (.f64 (sin.f64 ky) (pow.f64 th 3))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 1/120 (.f64 (pow.f64 th 5) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (.f64 (.f64 1/120 (.f64 (sin.f64 ky) (pow.f64 th 5))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 th 7) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (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))) (fma.f64 1/120 (.f64 (pow.f64 th 5) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (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))) (fma.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (.f64 (.f64 1/120 (.f64 (sin.f64 ky) (pow.f64 th 5))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(fma.f64 (pow.f64 th 3) -1/6 th)
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))
(+.f64 th (fma.f64 -1/6 (pow.f64 th 3) (*.f64 1/120 (pow.f64 th 5))))
(+.f64 th (fma.f64 1/120 (pow.f64 th 5) (*.f64 (pow.f64 th 3) -1/6)))
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 -1/5040 (pow.f64 th 7)) (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 th (fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (fma.f64 (pow.f64 th 3) -1/6 th) (fma.f64 1/120 (pow.f64 th 5) (*.f64 -1/5040 (pow.f64 th 7))))
(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 1 th)
(+.f64 (*.f64 1/6 th) (/.f64 1 th))
(fma.f64 1/6 th (/.f64 1 th))
(fma.f64 th 1/6 (/.f64 1 th))
(+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th)))
(fma.f64 7/360 (pow.f64 th 3) (fma.f64 1/6 th (/.f64 1 th)))
(fma.f64 (pow.f64 th 3) 7/360 (fma.f64 th 1/6 (/.f64 1 th)))
(+.f64 (.f64 31/15120 (pow.f64 th 5)) (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (*.f64 1/6 th) (/.f64 1 th))))
(fma.f64 31/15120 (pow.f64 th 5) (fma.f64 7/360 (pow.f64 th 3) (fma.f64 1/6 th (/.f64 1 th))))
(fma.f64 (pow.f64 th 5) 31/15120 (fma.f64 (pow.f64 th 3) 7/360 (fma.f64 th 1/6 (/.f64 1 th))))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(.f64 -1 (/.f64 (.f64 ky (+.f64 (.f64 -1 th) (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx)))
(/.f64 (.f64 (neg.f64 ky) (fma.f64 -1 th (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 th 3)) th) (neg.f64 ky)) (sin.f64 kx))
(.f64 -1 (/.f64 (.f64 ky (+.f64 (.f64 -1 th) (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx)))
(/.f64 (.f64 (neg.f64 ky) (fma.f64 -1 th (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx))
(/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 th 3)) th) (neg.f64 ky)) (sin.f64 kx))
(.f64 -1 (/.f64 (.f64 ky (+.f64 (.f64 -1 th) (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx)))
(/.f64 (.f64 (neg.f64 ky) (fma.f64 -1 th (.f64 1/6 (pow.f64 th 3)))) (sin.f64 kx))
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(.f64 1 (/.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx)))
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx)) 3) 1/3)
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))) 2)
(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
(pow.f64 (/.f64 (sin.f64 kx) (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) -1)
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(fabs.f64 (/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th))))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(/.f64 ky (/.f64 (sin.f64 kx) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
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(/.f64 ky (/.f64 (sin.f64 kx) (fma.f64 (pow.f64 th 3) -1/6 th)))
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(*.f64 ky (pow.f64 th 3))
(pow.f64 (*.f64 ky (pow.f64 th 3)) 1)
(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
(sqrt.f64 (*.f64 (pow.f64 th 6) (pow.f64 ky 2)))
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(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
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(*.f64 ky (pow.f64 th 3))
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(pow.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) 1)
(.f64 ky (.f64 (pow.f64 th 3) -1/6))
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(.f64 ky (.f64 (pow.f64 th 3) -1/6))
(pow.f64 (.f64 (pow.f64 (.f64 ky (pow.f64 th 3)) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 ky (pow.f64 th 3)) 3) -1/216))
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(pow.f64 (.f64 (pow.f64 th 3/2) (sqrt.f64 (.f64 ky -1/6))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 th 6) (pow.f64 ky 2)) 1/36))
(sqrt.f64 (.f64 (.f64 (pow.f64 ky 2) (pow.f64 th 6)) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 ky) (pow.f64 th 3)) -1/6))
(.f64 ky (.f64 (pow.f64 th 3) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)))))
(.f64 ky (.f64 (pow.f64 th 3) -1/6))
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(expm1.f64 (log1p.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6))))
(.f64 ky (.f64 (pow.f64 th 3) -1/6))
(exp.f64 (log.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6))))
(.f64 ky (.f64 (pow.f64 th 3) -1/6))
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(.f64 ky (.f64 (pow.f64 th 3) -1/6))
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(.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6)))
(*.f64 ky (fma.f64 (pow.f64 th 3) -1/6 th))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 th 6) (pow.f64 ky 2)) 1/36) (-.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (.f64 ky th))) (/.f64 (pow.f64 (.f64 ky th) 2) (-.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (*.f64 ky th))))
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(*.f64 ky (fma.f64 (pow.f64 th 3) -1/6 th))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 ky th (.f64 ky (.f64 (pow.f64 th 3) -1/6)))) 2) (cbrt.f64 (fma.f64 ky th (.f64 ky (*.f64 (pow.f64 th 3) -1/6)))))
(.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6)))
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(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 ky (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 ky (sin.f64 th)))) -1))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(exp.f64 (-.f64 (log.f64 (*.f64 ky (sin.f64 th))) (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))

eval480.0ms (2.3%)

Compiler: Compiled 22747 to 10967 computations (51.8% saved)

prune287.0ms (1.4%)

Pruning

69 alts after pruning (63 fresh and 6 done)

	Pruned	Kept	Total
New	939	41	980
Fresh	15	22	37
Picked	4	1	5
Done	0	5	5
Total	958	69	1027

Accuracy

100.0%

Counts

1027 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	13.2%	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
	22.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	16.2%	(/.f64 (*.f64 th ky) (sin.f64 kx))
	15.8%	(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
	15.4%	(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
	12.8%	(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
	53.9%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	26.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
	24.6%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	58.5%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	32.3%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	50.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	34.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
▶	99.5%	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
	27.5%	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	21.7%	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
▶	20.4%	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
	32.3%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	17.8%	(/.f64 ky (/.f64 (sin.f64 kx) th))
	26.2%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	31.5%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
	46.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
	23.9%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
✓	95.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	31.4%	(/.f64 1 (/.f64 (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))) (.f64 ky (sin.f64 th))))
	26.6%	(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
	33.0%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	32.0%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	17.7%	(/.f64 1 (/.f64 1 th))
	31.5%	(/.f64 1 (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))))
	18.4%	(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
	18.3%	(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
	53.3%	(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
	31.9%	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
	53.3%	(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))
	28.3%	(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
	27.6%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
	24.4%	(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
▶	27.8%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	23.8%	(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
	17.2%	(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
	32.3%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	32.2%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	58.4%	(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
	31.5%	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
	12.8%	(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
	28.5%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	32.1%	(sin.f64 th)
	32.0%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	13.8%	(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
	27.8%	(log.f64 (exp.f64 (sin.f64 th)))
	13.8%	(log.f64 1)
	31.2%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
	31.3%	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	28.8%	(fabs.f64 (sin.f64 th))
▶	22.9%	(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
	24.5%	(exp.f64 (log.f64 (sin.f64 th)))
	20.6%	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
	30.7%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
▶	17.7%	th

Compiler

Compiled 1548 to 1152 computations (25.6% saved)

localize298.0ms (1.4%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	99.9%	(/.f64 (sin.f64 kx) ky)
	96.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	95.4%	(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
✓	89.7%	(log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
✓	99.9%	(exp.f64 (log1p.f64 (sin.f64 th)))
✓	99.8%	(log1p.f64 (sin.f64 th))
✓	64.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
✓	99.8%	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
✓	99.8%	(/.f64 (sin.f64 ky) (sin.f64 th))
	100.0%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
	99.9%	(/.f64 1 (sin.f64 th))
✓	99.8%	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
✓	99.7%	(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th)))

Compiler

Compiled 117 to 29 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

Operation ival-div, time spent: 101.0ms, 52.0% of total-time

Operation ival-sin, time spent: 35.0ms, 18.0% of total-time

Operation ival-exp, time spent: 13.0ms, 7.0% of total-time

Operation ival-log, time spent: 13.0ms, 7.0% of total-time

Operation ival-hypot, time spent: 13.0ms, 7.0% of total-time

Operation ival-log1p, time spent: 8.0ms, 4.0% of total-time

Operation ival-mult, time spent: 6.0ms, 3.0% of total-time

Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

series650.0ms (3.1%)

Counts

9 → 212

Calls

57 calls:

Time	Variable		Point	Expression
371.0ms	ky	@	0	(log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
104.0ms	th	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
39.0ms	th	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
28.0ms	ky	@	-inf	(log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
17.0ms	kx	@	-inf	(log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))

rewrite233.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff`
674×	`log1p-udef`
672×	`expm1-udef`
544×	`log1p-expm1-u`
282×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	232
1	404	230
2	5672	230

Stop Event

1×	node limit

Counts

9 → 334

Calls

Call 1

Inputs
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(log1p.f64 (sin.f64 th))
(exp.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))

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

simplify228.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1452×	`fma-def`
876×	`times-frac`
500×	`associate-+r+`
482×	`*-commutative`
476×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1065	25680
1	2895	23623

Stop Event

1×	node limit

Counts

546 → 604

Calls

Call 1

Inputs
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 ky 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
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(/.f64 ky (sin.f64 th))
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(/.f64 (sin.f64 ky) th)
(+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th))
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(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 1/6 (.f64 (pow.f64 ky 2) (sin.f64 th))))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 -1/5040 (pow.f64 th 7)) (*.f64 1/120 (pow.f64 th 5)))))
(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 th (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 th (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/6 (pow.f64 th 3))))
(+.f64 th (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 -1/12 (pow.f64 th 4)) (*.f64 1/6 (pow.f64 th 3)))))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
(log.f64 (+.f64 1 (sin.f64 th)))
1
(+.f64 1 th)
(+.f64 1 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 1 (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5)))))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 1 (sin.f64 th))
(+.f64 (log.f64 th) (log.f64 (/.f64 ky (sin.f64 kx))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (*.f64 -1/6 (pow.f64 th 2))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (.f64 -1/180 (pow.f64 th 4)))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 -1/180 (pow.f64 th 4)) (*.f64 -1/2835 (pow.f64 th 6))))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 (log.f64 (.f64 ky (sin.f64 th))) (.f64 -1 (log.f64 kx)))
(+.f64 (log.f64 (.f64 ky (sin.f64 th))) (+.f64 (.f64 -1 (log.f64 kx)) (*.f64 1/6 (pow.f64 kx 2))))
(+.f64 (log.f64 (.f64 ky (sin.f64 th))) (+.f64 (.f64 -1 (log.f64 kx)) (+.f64 (.f64 1/24 (.f64 (pow.f64 kx 4) (-.f64 (.f64 -24 (/.f64 (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th)))) (.f64 ky (sin.f64 th)))) 1/3))) (*.f64 1/6 (pow.f64 kx 2)))))
(+.f64 (log.f64 (.f64 ky (sin.f64 th))) (+.f64 (.f64 -1 (log.f64 kx)) (+.f64 (.f64 1/720 (.f64 (pow.f64 kx 6) (+.f64 10/9 (+.f64 (.f64 -720 (/.f64 (+.f64 (.f64 -1/5040 (.f64 ky (sin.f64 th))) (+.f64 (.f64 1/720 (.f64 ky (sin.f64 th))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th))))))) (.f64 ky (sin.f64 th)))) (.f64 120 (/.f64 (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th)))) (.f64 ky (sin.f64 th)))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 kx 4) (-.f64 (.f64 -24 (/.f64 (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th)))) (.f64 ky (sin.f64 th)))) 1/3))) (.f64 1/6 (pow.f64 kx 2))))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 (log.f64 ky) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 ky) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 ky) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 ky) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1 (log.f64 (/.f64 1 ky))))
(+.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1 (log.f64 (/.f64 1 ky))))
(+.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1 (log.f64 (/.f64 1 ky))))
(+.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1 (log.f64 (/.f64 1 ky))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 -1 (log.f64 (/.f64 -1 ky))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 -1 (log.f64 (/.f64 -1 ky))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 -1 (log.f64 (/.f64 -1 ky))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 -1 (log.f64 (/.f64 -1 ky))))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th)))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 -1/5040 (.f64 ky (sin.f64 th))) (+.f64 (.f64 1/720 (.f64 ky (sin.f64 th))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 ky (sin.f64 th))) (.f64 1/120 (.f64 ky (sin.f64 th))))))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (*.f64 ky (sin.f64 th)) kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) 1)
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 th)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1) (sin.f64 th))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(/.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) -1) (neg.f64 (sin.f64 th)))
(/.f64 (*.f64 -1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 2)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (pow.f64 (/.f64 1 (sin.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)
(*.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 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.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 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (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 kx) (sin.f64 ky)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.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 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 1 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 2)) (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (sin.f64 th))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1) (neg.f64 (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) 1)
(*.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))
(*.f64 1 (/.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 1)
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (log.f64 (/.f64 (sin.f64 kx) ky))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) 1))) (fma.f64 (neg.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) 1 (.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (*.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 kx) ky))) (log.f64 (/.f64 (sin.f64 kx) ky))))
(-.f64 (log.f64 (sin.f64 th)) (log.f64 (/.f64 (sin.f64 kx) ky)))
(-.f64 0 (log.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) 1)
(-.f64 (log.f64 (neg.f64 (sin.f64 th))) (log.f64 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(.f64 1 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)
(.f64 (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 2) (cbrt.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(.f64 (sqrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 th)) 3) (pow.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) 3)) (+.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) (log.f64 (/.f64 (sin.f64 kx) ky))) (*.f64 (log.f64 (sin.f64 th)) (log.f64 (/.f64 (sin.f64 kx) ky))))))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (.f64 (log.f64 (/.f64 (sin.f64 kx) ky)) (log.f64 (/.f64 (sin.f64 kx) ky)))) (+.f64 (log.f64 (sin.f64 th)) (log.f64 (/.f64 (sin.f64 kx) ky))))
(pow.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 2)
(neg.f64 (log.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(exp.f64 (log.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 1))
(log1p.f64 (-.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 1)
(-.f64 (/.f64 (+.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 1 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 1 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 ky)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sin.f64 kx)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 ky)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1) ky)
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))
(.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) 1))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (/.f64 (sin.f64 kx) ky) (cbrt.f64 (sin.f64 th))))
(/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (sin.f64 kx) ky) (sqrt.f64 (sin.f64 th))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (sin.f64 kx)) ky))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) (*.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) (*.f64 (/.f64 (sin.f64 kx) ky) (+.f64 1 (+.f64 1 (sin.f64 th)))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 ky))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th)))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) 1) (.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) (/.f64 ky (sin.f64 kx))) (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) (/.f64 ky (sin.f64 kx))) (+.f64 1 (+.f64 1 (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 2)) (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) (sqrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 kx) ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))

Outputs
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (.f64 (sin.f64 ky) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (-.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) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 kx 6) (+.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) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 kx 6) (sin.f64 ky)) (/.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)))) (sin.f64 th))) (fma.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th))))
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(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (sin.f64 th) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))))
(fma.f64 -1/2 (/.f64 (pow.f64 kx 2) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th))
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.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 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 (sin.f64 ky) th) (.f64 -1/6 (.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 1/120 (.f64 (pow.f64 th 5) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 (sin.f64 ky) th) (.f64 1/120 (.f64 (sin.f64 ky) (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 th 7) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/6 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (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))) (fma.f64 1/120 (.f64 (pow.f64 th 5) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 -1/5040 (.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 (.f64 (sin.f64 ky) th) (.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(/.f64 ky (sin.f64 th))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))) (/.f64 ky (sin.f64 th)))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (/.f64 ky (sin.f64 th))))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (/.f64 ky (sin.f64 th))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (/.f64 ky (sin.f64 th)))))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (fma.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (/.f64 ky (sin.f64 th)))))
(/.f64 (sin.f64 ky) th)
(+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th))
(fma.f64 1/6 (*.f64 (sin.f64 ky) th) (/.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (sin.f64 ky)) (.f64 1/120 (sin.f64 ky))))) (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(fma.f64 -1 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) -7/360)) (fma.f64 1/6 (*.f64 (sin.f64 ky) th) (/.f64 (sin.f64 ky) th)))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 ky) th) (/.f64 (sin.f64 ky) th)) (.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360)))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 (sin.f64 ky)) (.f64 1/120 (sin.f64 ky))))) (+.f64 (.f64 -1 (.f64 (pow.f64 th 5) (+.f64 (.f64 -1/5040 (sin.f64 ky)) (+.f64 (.f64 1/720 (sin.f64 ky)) (.f64 1/6 (+.f64 (.f64 -1/36 (sin.f64 ky)) (.f64 1/120 (sin.f64 ky)))))))) (+.f64 (.f64 1/6 (*.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th))))
(fma.f64 -1 (.f64 (pow.f64 th 3) (.f64 (sin.f64 ky) -7/360)) (fma.f64 -1 (.f64 (pow.f64 th 5) (fma.f64 -1/5040 (sin.f64 ky) (fma.f64 1/720 (sin.f64 ky) (.f64 1/6 (.f64 (sin.f64 ky) -7/360))))) (fma.f64 1/6 (.f64 (sin.f64 ky) th) (/.f64 (sin.f64 ky) th))))
(-.f64 (-.f64 (fma.f64 1/6 (.f64 (sin.f64 ky) th) (/.f64 (sin.f64 ky) th)) (.f64 (pow.f64 th 5) (+.f64 (.f64 (sin.f64 ky) 1/840) (.f64 1/6 (.f64 (sin.f64 ky) -7/360))))) (.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360)))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 1/6 (.f64 (pow.f64 ky 2) (sin.f64 th))))
(+.f64 (sin.f64 th) (.f64 1/6 (.f64 (sin.f64 th) (pow.f64 ky 2))))
(.f64 (sin.f64 th) (+.f64 1 (.f64 1/6 (pow.f64 ky 2))))
(+.f64 (sin.f64 th) (+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.f64 (.f64 -1/36 (sin.f64 th)) (.f64 1/120 (sin.f64 th))))) (.f64 1/6 (.f64 (pow.f64 ky 2) (sin.f64 th)))))
(+.f64 (sin.f64 th) (fma.f64 -1 (.f64 (pow.f64 ky 4) (.f64 (sin.f64 th) -7/360)) (.f64 1/6 (.f64 (sin.f64 th) (pow.f64 ky 2)))))
(+.f64 (.f64 (sin.f64 th) (+.f64 1 (.f64 1/6 (pow.f64 ky 2)))) (.f64 (.f64 (sin.f64 th) -7/360) (neg.f64 (pow.f64 ky 4))))
(+.f64 (sin.f64 th) (+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.f64 (.f64 -1/36 (sin.f64 th)) (.f64 1/120 (sin.f64 th))))) (+.f64 (.f64 -1 (.f64 (pow.f64 ky 6) (+.f64 (.f64 -1/5040 (sin.f64 th)) (+.f64 (.f64 1/720 (sin.f64 th)) (.f64 1/6 (+.f64 (.f64 -1/36 (sin.f64 th)) (.f64 1/120 (sin.f64 th)))))))) (.f64 1/6 (*.f64 (pow.f64 ky 2) (sin.f64 th))))))
(+.f64 (sin.f64 th) (fma.f64 -1 (.f64 (pow.f64 ky 4) (.f64 (sin.f64 th) -7/360)) (fma.f64 -1 (.f64 (pow.f64 ky 6) (fma.f64 -1/5040 (sin.f64 th) (fma.f64 1/720 (sin.f64 th) (.f64 1/6 (.f64 (sin.f64 th) -7/360))))) (.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 ky 4)) (.f64 (sin.f64 th) -7/360) (.f64 (+.f64 (.f64 (sin.f64 th) 1/840) (.f64 1/6 (.f64 (sin.f64 th) -7/360))) (neg.f64 (pow.f64 ky 6)))) (.f64 (sin.f64 th) (+.f64 1 (*.f64 1/6 (pow.f64 ky 2)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 3))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky))))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 5))) (/.f64 (*.f64 ky th) (sin.f64 ky))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) (sin.f64 ky))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 7))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 ky) (pow.f64 th 5))) (/.f64 (*.f64 ky th) (sin.f64 ky)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(fma.f64 (pow.f64 th 3) -1/6 th)
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))
(+.f64 th (fma.f64 -1/6 (pow.f64 th 3) (*.f64 1/120 (pow.f64 th 5))))
(+.f64 (fma.f64 (pow.f64 th 3) -1/6 th) (*.f64 1/120 (pow.f64 th 5)))
(+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 (.f64 -1/5040 (pow.f64 th 7)) (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 th (fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (fma.f64 (pow.f64 th 3) -1/6 th) (fma.f64 1/120 (pow.f64 th 5) (*.f64 -1/5040 (pow.f64 th 7))))
(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 th (*.f64 -1/2 (pow.f64 th 2)))
(fma.f64 -1/2 (pow.f64 th 2) th)
(+.f64 th (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/6 (pow.f64 th 3))))
(+.f64 th (fma.f64 -1/2 (pow.f64 th 2) (*.f64 1/6 (pow.f64 th 3))))
(+.f64 th (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 -1/12 (pow.f64 th 4)) (*.f64 1/6 (pow.f64 th 3)))))
(+.f64 th (fma.f64 -1/2 (pow.f64 th 2) (fma.f64 -1/12 (pow.f64 th 4) (*.f64 1/6 (pow.f64 th 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 th 2) th) (fma.f64 1/6 (pow.f64 th 3) (*.f64 -1/12 (pow.f64 th 4))))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 1 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
1
(+.f64 1 th)
(+.f64 th 1)
(+.f64 1 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 1 (+.f64 th (*.f64 (pow.f64 th 3) -1/6)))
(+.f64 1 (fma.f64 (pow.f64 th 3) -1/6 th))
(+.f64 1 (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5)))))
(+.f64 (+.f64 th 1) (fma.f64 -1/6 (pow.f64 th 3) (*.f64 1/120 (pow.f64 th 5))))
(+.f64 (+.f64 1 (fma.f64 (pow.f64 th 3) -1/6 th)) (*.f64 1/120 (pow.f64 th 5)))
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 1 (sin.f64 th))
(+.f64 (sin.f64 th) 1)
(+.f64 (log.f64 th) (log.f64 (/.f64 ky (sin.f64 kx))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (*.f64 -1/6 (pow.f64 th 2))))
(+.f64 (log.f64 th) (fma.f64 -1/6 (pow.f64 th 2) (log.f64 (/.f64 ky (sin.f64 kx)))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (.f64 -1/180 (pow.f64 th 4)))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (fma.f64 -1/6 (pow.f64 th 2) (*.f64 (pow.f64 th 4) -1/180))))
(+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (log.f64 th) (fma.f64 -1/6 (pow.f64 th 2) (*.f64 (pow.f64 th 4) -1/180))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 -1/180 (pow.f64 th 4)) (*.f64 -1/2835 (pow.f64 th 6))))))
(+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (fma.f64 -1/6 (pow.f64 th 2) (fma.f64 -1/180 (pow.f64 th 4) (*.f64 -1/2835 (pow.f64 th 6))))))
(+.f64 (log.f64 (/.f64 ky (sin.f64 kx))) (+.f64 (fma.f64 -1/6 (pow.f64 th 2) (fma.f64 (pow.f64 th 4) -1/180 (*.f64 -1/2835 (pow.f64 th 6)))) (log.f64 th)))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
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(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1) (neg.f64 (sin.f64 th)))
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(*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(/.f64 (*.f64 (sin.f64 ky) (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))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(/.f64 (*.f64 (sin.f64 ky) (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))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
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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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(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(fabs.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 ky) (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))))
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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) (sin.f64 th))
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(/.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 1)
(/.f64 (sin.f64 ky) (sin.f64 th))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
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(/.f64 (sin.f64 ky) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
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(/.f64 (sin.f64 ky) (sin.f64 th))
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(/.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
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(/.f64 (sin.f64 ky) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (cbrt.f64 (/.f64 1 (sin.f64 th))))
(.f64 (sin.f64 ky) (.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)) (cbrt.f64 (/.f64 1 (sin.f64 th)))))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (sin.f64 th) -1/2)) (pow.f64 (sin.f64 th) -1/2))
(/.f64 (sin.f64 ky) (sin.f64 th))
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(*.f64 (+.f64 2 (sin.f64 th)) (/.f64 (sin.f64 ky) (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2))))
(/.f64 (*.f64 (sin.f64 ky) (+.f64 (sin.f64 th) 2)) (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)))
(pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 1)
(/.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 3)
(/.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)
(/.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2)
(/.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) -1)
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(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 2))
(fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 3))
(/.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 1 (sin.f64 th)) 3)))
(/.f64 (sin.f64 ky) (sin.f64 th))
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(/.f64 (sin.f64 ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 1))
(/.f64 (sin.f64 ky) (sin.f64 th))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (sin.f64 th))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
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(.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 ky)) 1)
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(.f64 (cbrt.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))) 2))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))
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(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
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(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 ky (sin.f64 ky)) 1) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 ky (sin.f64 ky)) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) 1))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (/.f64 (sin.f64 kx) ky) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 th)))
(/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (sin.f64 kx) ky) (sqrt.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (sin.f64 kx)) ky))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) (*.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 2 (sin.f64 th))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 (sin.f64 th) 2)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) (*.f64 (/.f64 (sin.f64 kx) ky) (+.f64 1 (+.f64 1 (sin.f64 th)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (*.f64 (+.f64 2 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (*.f64 (+.f64 (sin.f64 th) 2) (/.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 ky))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th)))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 2 (sin.f64 th))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 (sin.f64 th) 2)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) 1) (.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (*.f64 (+.f64 2 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (*.f64 (+.f64 (sin.f64 th) 2) (/.f64 (sin.f64 kx) ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) -1) (/.f64 ky (sin.f64 kx))) (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) (+.f64 1 (+.f64 1 (sin.f64 th)))))
(/.f64 (*.f64 (/.f64 ky (sin.f64 kx)) (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3))) (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 2 (sin.f64 th))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 th) 1) 2) (+.f64 (sin.f64 th) 2)) (/.f64 ky (sin.f64 kx))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 2) -1) (/.f64 ky (sin.f64 kx))) (+.f64 1 (+.f64 1 (sin.f64 th))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (/.f64 (+.f64 2 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 th) 1) 2)) (/.f64 (+.f64 (sin.f64 th) 2) (/.f64 ky (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (E.f64) (log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) 2)) (cbrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))) 2)) (cbrt.f64 (log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) (sqrt.f64 (log.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))) (sqrt.f64 (log.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 kx) ky) 3)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))

eval250.0ms (1.2%)

Compiler: Compiled 14517 to 6642 computations (54.2% saved)

prune219.0ms (1%)

Pruning

83 alts after pruning (74 fresh and 9 done)

	Pruned	Kept	Total
New	705	25	730
Fresh	9	49	58
Picked	2	3	5
Done	0	6	6
Total	716	83	799

Accuracy

100.0%

Counts

799 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	22.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	16.2%	(/.f64 (*.f64 th ky) (sin.f64 kx))
	15.8%	(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
	15.4%	(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
	12.8%	(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
	53.9%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	26.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
	24.6%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	18.2%	(/.f64 (*.f64 ky th) (sin.f64 ky))
	58.5%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	32.3%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	50.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	34.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	51.7%	(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
✓	99.5%	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
	50.5%	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 th)))
	27.5%	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	21.7%	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
✓	20.4%	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
	11.8%	(/.f64 ky (/.f64 (sin.f64 ky) th))
	32.3%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	17.8%	(/.f64 ky (/.f64 (sin.f64 kx) th))
	28.2%	(/.f64 ky (/.f64 ky (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	20.3%	(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
	12.8%	(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
	46.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
	23.9%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
✓	95.0%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	33.0%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	32.0%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	17.7%	(/.f64 1 (/.f64 1 th))
	18.4%	(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
	18.3%	(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
	53.3%	(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
	31.9%	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
	53.3%	(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))
	28.3%	(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
	27.6%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
	24.4%	(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
	27.5%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
	25.2%	(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
	27.7%	(-.f64 (/.f64 (+.f64 1 (pow.f64 (sin.f64 th) 3)) (+.f64 1 (*.f64 (sin.f64 th) (+.f64 (sin.f64 th) -1)))) 1)
	27.7%	(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
	27.8%	(-.f64 (+.f64 (sin.f64 th) 1) 1)
	13.5%	(-.f64 (+.f64 th 1) 1)
	27.7%	(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
	27.6%	(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
	15.5%	(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
	13.8%	(-.f64 1 1)
	21.7%	(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
	23.8%	(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
	17.6%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
	17.2%	(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
	20.3%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
	32.3%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	20.4%	(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
	32.2%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	26.7%	(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
	58.4%	(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
	20.3%	(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
	20.3%	(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
	12.8%	(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
	28.5%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	32.1%	(sin.f64 th)
	32.0%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	13.8%	(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
	27.8%	(log.f64 (exp.f64 (sin.f64 th)))
	31.2%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
	31.3%	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	28.8%	(fabs.f64 (sin.f64 th))
	21.2%	(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
	24.5%	(exp.f64 (log.f64 (sin.f64 th)))
	30.7%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
✓	17.7%	th

Compiler

Compiled 2162 to 1225 computations (43.3% saved)

regimes524.0ms (2.5%)

Counts

119 → 1

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky)))) (sin.f64 kx))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3) 1/3)
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 th)))
(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (sin.f64 th) 3)) (+.f64 1 (*.f64 (sin.f64 th) (+.f64 (sin.f64 th) -1)))) 1)
(/.f64 1 (/.f64 (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))) (.f64 ky (sin.f64 th))))
(/.f64 1 (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))))
(/.f64 (sin.f64 th) (+.f64 (.f64 ky (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (/.f64 (sin.f64 kx) ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 th))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (sin.f64 ky)))
(/.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 kx 2))) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2) (sin.f64 th))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (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 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))

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

Calls

9 calls:

72.0ms	kx
62.0ms	th
62.0ms	(sin.f64 th)
60.0ms	(sin.f64 kx)
60.0ms	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 69 to 53 computations (23.2% saved)

regimes330.0ms (1.6%)

Counts

103 → 1

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky)))) (sin.f64 kx))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3) 1/3)
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 th)))
(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (sin.f64 th) 3)) (+.f64 1 (*.f64 (sin.f64 th) (+.f64 (sin.f64 th) -1)))) 1)
(/.f64 1 (/.f64 (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))) (.f64 ky (sin.f64 th))))
(/.f64 1 (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))))
(/.f64 (sin.f64 th) (+.f64 (.f64 ky (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (/.f64 (sin.f64 kx) ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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

Calls

6 calls:

59.0ms	(sin.f64 th)
53.0ms	ky
53.0ms	(sin.f64 ky)
52.0ms	kx
52.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes1.2s (5.5%)

Counts

102 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky)))) (sin.f64 kx))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3) 1/3)
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 th)))
(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (sin.f64 th) 3)) (+.f64 1 (*.f64 (sin.f64 th) (+.f64 (sin.f64 th) -1)))) 1)
(/.f64 1 (/.f64 (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))) (.f64 ky (sin.f64 th))))
(/.f64 1 (+.f64 (.f64 1/2 (/.f64 ky (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))))
(/.f64 (sin.f64 th) (+.f64 (.f64 ky (-.f64 (.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (/.f64 (sin.f64 kx) ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))

Calls

6 calls:

396.0ms	(sin.f64 kx)
226.0ms	kx
198.0ms	(sin.f64 th)
140.0ms	(sin.f64 ky)
97.0ms	th

Results

Accuracy	Segments	Branch
65.6%	5	`kx`
80.7%	2	`ky`
80.6%	2	`th`
82.0%	3	`(sin.f64 ky)`
64.9%	6	`(sin.f64 kx)`
80.5%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes321.0ms (1.5%)

Counts

96 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky)))) (sin.f64 kx))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3) 1/3)
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 th)))
(/.f64 1 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 (/.f64 1 ky) (sin.f64 th))))
(.f64 (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 (.f64 ky (neg.f64 (sin.f64 th))))))

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

Calls

3 calls:

138.0ms	(sin.f64 ky)
90.0ms	th
86.0ms	ky

Results

Accuracy	Segments	Branch
81.8%	3	`(sin.f64 ky)`
80.1%	2	`th`
80.3%	2	`ky`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes86.0ms (0.4%)

Counts

82 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))

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

Calls

1 calls:

78.0ms

ky

Results

Accuracy	Segments	Branch
80.3%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes345.0ms (1.6%)

Counts

81 → 3

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3)) (sin.f64 kx))

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

Calls

4 calls:

112.0ms	(sin.f64 th)
110.0ms	(sin.f64 ky)
76.0ms	ky
40.0ms	th

Results

Accuracy	Segments	Branch
60.0%	3	`(sin.f64 th)`
58.4%	1	`th`
73.6%	3	`(sin.f64 ky)`
70.8%	2	`ky`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes959.0ms (4.5%)

Counts

79 → 3

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 th))) 3) 1)
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(-.f64 (/.f64 (+.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) ky)) (/.f64 ky (sin.f64 kx)))
(+.f64 (.f64 (/.f64 ky (sin.f64 ky)) (+.f64 1 (sin.f64 th))) (.f64 (/.f64 ky (sin.f64 ky)) -1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 ky))) (/.f64 (*.f64 ky th) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) 2))

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

Calls

6 calls:

180.0ms	(sin.f64 th)
178.0ms	th
173.0ms	(sin.f64 ky)
148.0ms	kx
137.0ms	ky

Results

Accuracy	Segments	Branch
46.2%	5	`(sin.f64 th)`
57.1%	3	`(sin.f64 kx)`
45.3%	4	`th`
53.1%	4	`kx`
52.5%	4	`ky`
55.6%	5	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes133.0ms (0.6%)

Counts

65 → 3

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))

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

Calls

1 calls:

128.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
57.1%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes160.0ms (0.8%)

Counts

64 → 3

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 1 (sin.f64 th)))) 1)
(-.f64 (log.f64 (exp.f64 (+.f64 1 (sin.f64 th)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th)))))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))

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

Calls

1 calls:

156.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
57.1%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes120.0ms (0.6%)

Counts

58 → 3

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))

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

Calls

1 calls:

116.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
54.9%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes373.0ms (1.8%)

Counts

55 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(.f64 ky (.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 ky (/.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx)))
(-.f64 (exp.f64 (+.f64 th (*.f64 -1/2 (pow.f64 th 2)))) 1)
(/.f64 (.f64 ky (.f64 (pow.f64 th 3) -1/6)) (sin.f64 kx))
(.f64 (neg.f64 ky) (.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) (sin.f64 kx))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 th (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 ky (pow.f64 th 3))) (*.f64 ky th)) (sin.f64 kx))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (/.f64 (.f64 ky (sin.f64 th)) kx))
(exp.f64 (log.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))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 kx ky))))

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

Calls

3 calls:

153.0ms	(sin.f64 kx)
131.0ms	ky
83.0ms	kx

Results

Accuracy	Segments	Branch
52.2%	5	`ky`
48.6%	2	`kx`
49.3%	3	`(sin.f64 kx)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes48.0ms (0.2%)

Counts

28 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))

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

Calls

1 calls:

44.0ms

kx

Results

Accuracy	Segments	Branch
48.6%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes46.0ms (0.2%)

Counts

26 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)

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

Calls

1 calls:

44.0ms

kx

Results

Accuracy	Segments	Branch
48.6%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes136.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)
(sin.f64 th)
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 ky (/.f64 ky (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky th) (sin.f64 ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 (pow.f64 th 3) -1/6))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (sin.f64 th))) 1) 1)
(/.f64 (.f64 ky (+.f64 th (.f64 (pow.f64 th 3) -1/6))) kx)
(/.f64 1 (+.f64 (.f64 7/360 (pow.f64 th 3)) (+.f64 (.f64 1/6 th) (/.f64 1 th))))
(fabs.f64 (sin.f64 th))

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

Calls

3 calls:

53.0ms	(sin.f64 kx)
45.0ms	kx
37.0ms	ky

Results

Accuracy	Segments	Branch
45.9%	2	`ky`
42.9%	3	`(sin.f64 kx)`
42.6%	2	`kx`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes47.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (sin.f64 th) 1) 1)
(sin.f64 th)

Calls

4 calls:

19.0ms	kx
14.0ms	ky
7.0ms	th
6.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
32.1%	1	`(sin.f64 th)`
32.1%	1	`th`
37.8%	2	`kx`
38.9%	2	`ky`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes37.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	kx
15.0ms	ky

Results

Accuracy	Segments	Branch
37.0%	2	`kx`
37.3%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))
(log.f64 1)

Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th)))

Calls

3 calls:

17.0ms	kx
9.0ms	ky
5.0ms	th

Results

Accuracy	Segments	Branch
18.4%	1	`th`
24.1%	2	`kx`
25.2%	2	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
th
(-.f64 1 1)
(-.f64 (+.f64 th 1) 1)
(/.f64 1 (/.f64 1 th))

Outputs
(-.f64 1 1)
th

Calls

1 calls:

17.0ms

ky

Results

Accuracy	Segments	Branch
24.9%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (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	ky
3.0ms	kx

Results

Accuracy	Segments	Branch
17.7%	1	`th`
17.7%	1	`kx`
17.7%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1663303269545456e-9	2.475452851241173e-9

Results

18.0ms	79×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 195 to 139 computations (28.7% saved)

Precisions

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

Operation ival-sin, time spent: 5.0ms, 56.0% of total-time

Operation ival-div, time spent: 1.0ms, 11.0% of total-time

Operation ival-mult, time spent: 1.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 11.0% of total-time

Operation ival-pow, time spent: 1.0ms, 11.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.1663303269545456e-9	2.475452851241173e-9

Results

19.0ms	79×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 165 to 114 computations (30.9% saved)

Precisions

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

Operation ival-sin, time spent: 5.0ms, 56.0% of total-time

Operation ival-div, time spent: 1.0ms, 11.0% of total-time

Operation ival-mult, time spent: 1.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 11.0% of total-time

Operation ival-pow, time spent: 1.0ms, 11.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.1663303269545456e-9	2.475452851241173e-9

Results

19.0ms	79×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 165 to 114 computations (30.9% saved)

Precisions

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

Operation ival-sin, time spent: 8.0ms, 68.0% of total-time

Operation ival-div, time spent: 1.0ms, 9.0% of total-time

Operation ival-mult, time spent: 1.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 9.0% of total-time

Operation ival-pow, time spent: 1.0ms, 9.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.475452851241173e-9	4.851814576659166e-9
0.0ms	-0.00426175617268562	6.47742787615784e-305

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.463396128515654e-95	1.8217857721407472e-93
0.0ms	-0.021440837893075465	3.678683999415342e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.463396128515654e-95	1.8217857721407472e-93
0.0ms	-0.021440837893075465	3.678683999415342e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.463396128515654e-95	1.8217857721407472e-93
0.0ms	-0.021440837893075465	3.678683999415342e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.463396128515654e-95	1.8217857721407472e-93
0.0ms	-0.021440837893075465	3.678683999415342e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5.463396128515654e-95	1.8217857721407472e-93

Results

25.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 144 to 110 computations (23.6% saved)

Precisions

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

Operation ival-sin, time spent: 10.0ms, 64.0% of total-time

Operation ival-pow, time spent: 2.0ms, 13.0% of total-time

Operation ival-div, time spent: 1.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation ival-mult, time spent: 1.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.463396128515654e-95	1.8217857721407472e-93

Results

25.0ms	110×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid

Compiler

Compiled 144 to 110 computations (23.6% saved)

Precisions

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

Operation ival-sin, time spent: 7.0ms, 54.0% of total-time

Operation ival-pow, time spent: 2.0ms, 15.0% of total-time

Operation ival-div, time spent: 1.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 8.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

Operation ival-mult, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.463396128515654e-95	1.8217857721407472e-93

Results

23.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 144 to 110 computations (23.6% saved)

Precisions

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

Operation ival-sin, time spent: 7.0ms, 56.0% of total-time

Operation ival-pow, time spent: 2.0ms, 16.0% of total-time

Operation ival-div, time spent: 1.0ms, 8.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

Operation ival-mult, time spent: 1.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.2628714524792183e-116	1.339977748509266e-113

Results

26.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 153 to 115 computations (24.8% saved)

Precisions

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

Operation ival-sin, time spent: 9.0ms, 60.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 13.0% of total-time

Operation ival-pow, time spent: 2.0ms, 13.0% of total-time

Operation ival-div, time spent: 1.0ms, 7.0% of total-time

Operation ival-add, time spent: 1.0ms, 7.0% of total-time

Operation ival-mult, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.4386535182024533e-181	5.085865536412367e-176

Results

30.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 169 to 145 computations (14.2% saved)

Precisions

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

Operation ival-sin, time spent: 9.0ms, 53.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 18.0% of total-time

Operation ival-pow, time spent: 2.0ms, 12.0% of total-time

Operation ival-div, time spent: 1.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation ival-mult, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.482016851933466e-187	1.8229326305273875e-184

Results

25.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 129 to 115 computations (10.9% saved)

Precisions

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

Operation ival-sin, time spent: 7.0ms, 51.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 14.0% of total-time

Operation ival-pow, time spent: 2.0ms, 14.0% of total-time

Operation ival-div, time spent: 1.0ms, 7.0% of total-time

Operation ival-add, time spent: 1.0ms, 7.0% of total-time

Operation ival-mult, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	3.4386535182024533e-181	5.085865536412367e-176

Results

30.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 205 to 181 computations (11.7% saved)

Precisions

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

Operation ival-sin, time spent: 8.0ms, 47.0% of total-time

Operation ival-pow, time spent: 4.0ms, 24.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 12.0% of total-time

Operation ival-div, time spent: 1.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation ival-mult, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	5.085865536412367e-176	7.5024441896414105e-171

Results

29.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 133 to 118 computations (11.3% saved)

Precisions

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

Operation ival-sin, time spent: 9.0ms, 56.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 12.0% of total-time

Operation ival-pow, time spent: 2.0ms, 12.0% of total-time

Operation ival-div, time spent: 1.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation ival-mult, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
8×	`+-commutative`
4×	`unsub-neg`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1266
1	123	1266
2	131	1266
3	134	1266
4	137	1266
5	140	1266

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th)))))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(if (<=.f64 (sin.f64 ky) -1152921504606847/288230376151711744) (/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2))) (if (<=.f64 (sin.f64 ky) 4835703278458517/1208925819614629174706176) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(if (<=.f64 kx 1197756717214655/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(if (<=.f64 kx 4039493242370993/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (sin.f64 th) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(if (<=.f64 kx 493193942382505/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 ky 7807837858644215/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 ky 1423481472698125/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (-.f64 (+.f64 (sin.f64 th) 1) 1) (sin.f64 th))
(if (<=.f64 ky 3674162482993007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (-.f64 1 1) (sin.f64 th))
(if (<=.f64 ky 2978361235183769/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (-.f64 1 1) (/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th))))
(if (<=.f64 ky 4873212329613551/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (-.f64 1 1) th)
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th)))))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 th 1/6)))))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(if (<=.f64 ky 5923736516111683/2417851639229258349412352) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(if (<=.f64 (sin.f64 ky) -1152921504606847/288230376151711744) (/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 th) -2))) (if (<=.f64 (sin.f64 ky) 4835703278458517/1208925819614629174706176) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(if (<=.f64 kx 1197756717214655/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(if (<=.f64 kx 4039493242370993/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (sin.f64 th) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(if (<=.f64 kx 493193942382505/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 ky 7807837858644215/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 ky 1423481472698125/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (-.f64 (+.f64 (sin.f64 th) 1) 1) (sin.f64 th))
(if (<=.f64 ky 1423481472698125/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (+.f64 (+.f64 (sin.f64 th) 1) -1) (sin.f64 th))
(if (<=.f64 ky 3674162482993007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (-.f64 1 1) (sin.f64 th))
(if (<=.f64 ky 3674162482993007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) 0 (sin.f64 th))
(if (<=.f64 ky 2978361235183769/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (-.f64 1 1) (/.f64 1 (+.f64 (*.f64 1/6 th) (/.f64 1 th))))
(if (<=.f64 ky 2978361235183769/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 0 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 th 1/6))))
(if (<=.f64 ky 4873212329613551/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (-.f64 1 1) th)
(if (<=.f64 ky 4873212329613551/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) 0 th)
th

Compiler

Compiled 388 to 234 computations (39.7% saved)

soundness5.4s (25.6%)

Rules

1564×	`fma-def`
1564×	`fma-def`
1452×	`fma-def`
1452×	`fma-def`
1394×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	717
1	123	529
2	298	529
3	657	529
4	2780	529
5	7692	529
0	23	198
1	338	198
2	3438	198
0	34	441
1	548	435
2	7597	435
0	1065	25680
1	2895	23623
0	1038	48177
1	2860	43208
0	23	198
1	338	198
2	3438	198
0	1038	48177
1	2860	43208
0	590	19828
1	1625	18347
2	6558	18347
0	25	366
1	399	366
2	5742	366
0	1038	48177
1	2860	43208
0	23	198
1	338	198
2	3438	198
0	590	19828
1	1625	18347
2	6558	18347
0	23	198
1	338	198
2	3438	198
0	34	441
1	548	435
2	7597	435
0	34	441
1	548	435
2	7597	435
0	1309	44269
1	3703	40661
0	34	441
1	548	435
2	7597	435
0	1309	44269
1	3703	40661
0	34	441
1	548	435
2	7597	435
0	1065	25680
1	2895	23623

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

Compiler

Compiled 2042 to 935 computations (54.2% saved)

end1.0ms (0%)

preprocess212.0ms (1%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1042 to 484 computations (53.6% saved)

analyze312.0ms (1.5%)

sample2.4s (11.3%)

preprocess431.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize188.0ms (0.9%)

series48.0ms (0.2%)

rewrite428.0ms (2%)

simplify253.0ms (1.2%)

eval141.0ms (0.7%)

prune54.0ms (0.3%)

localize121.0ms (0.6%)

series58.0ms (0.3%)

rewrite229.0ms (1.1%)

simplify397.0ms (1.9%)

eval351.0ms (1.7%)

prune153.0ms (0.7%)

localize1.3s (6.3%)

series56.0ms (0.3%)

rewrite305.0ms (1.4%)

simplify407.0ms (1.9%)

eval480.0ms (2.3%)

prune287.0ms (1.4%)

localize298.0ms (1.4%)

series650.0ms (3.1%)

rewrite233.0ms (1.1%)

simplify228.0ms (1.1%)

eval250.0ms (1.2%)

prune219.0ms (1%)

regimes524.0ms (2.5%)

regimes330.0ms (1.6%)

regimes1.2s (5.5%)

regimes321.0ms (1.5%)

regimes86.0ms (0.4%)

regimes345.0ms (1.6%)

regimes959.0ms (4.5%)

regimes133.0ms (0.6%)

regimes160.0ms (0.8%)

regimes120.0ms (0.6%)

regimes373.0ms (1.8%)

regimes48.0ms (0.2%)

regimes46.0ms (0.2%)

regimes136.0ms (0.6%)

regimes47.0ms (0.2%)

regimes37.0ms (0.2%)

regimes36.0ms (0.2%)

regimes17.0ms (0.1%)

regimes9.0ms (0%)

bsearch21.0ms (0.1%)

bsearch22.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.1%)

bsearch30.0ms (0.1%)

bsearch26.0ms (0.1%)

bsearch30.0ms (0.1%)

bsearch33.0ms (0.2%)

bsearch29.0ms (0.1%)

bsearch35.0ms (0.2%)

bsearch33.0ms (0.2%)

simplify45.0ms (0.2%)

soundness5.4s (25.6%)

end1.0ms (0%)

preprocess212.0ms (1%)

Profiling