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

analyze608.0ms (1.8%)

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)

sample7.2s (21.7%)

Results

4.7s	4541×	body	1024	valid
893.0ms	622×	body	2048	valid
845.0ms	1320×	body	512	valid
592.0ms	1773×	body	256	valid
127.0ms	62×	body	8192	exit

Bogosity

preprocess514.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

109×	No Errors
64×	`(sin.f64 ky)`
47×	`(sin.f64 th)`
32×	`(sin.f64 kx)`
4×	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	424
1	100	288
2	227	288
3	495	288
4	1799	288
5	5855	288

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

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

Symmetry

(abs kx)

Compiler

Compiled 89 to 52 computations (41.6% saved)

eval1.0ms (0%)

Compiler: Compiled 36 to 13 computations (63.9% saved)

prune5.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	59.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	57.6%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
▶	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	59.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	57.6%	(*.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 122 to 82 computations (32.8% saved)

localize580.0ms (1.7%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	97.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	82.3%	(sin.f64 kx)
✓	77.8%	(sin.f64 th)
✓	70.0%	(sin.f64 ky)
✓	99.6%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	82.3%	(sin.f64 kx)
✓	77.8%	(sin.f64 th)
✓	70.0%	(sin.f64 ky)
✓	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	82.3%	(sin.f64 kx)
✓	77.8%	(sin.f64 th)
✓	70.0%	(sin.f64 ky)
✓	97.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
✓	82.3%	(sin.f64 kx)
✓	77.8%	(sin.f64 th)
✓	70.0%	(sin.f64 ky)

Compiler

Compiled 166 to 45 computations (72.9% saved)

series26.0ms (0.1%)

Counts

16 → 164

Calls

69 calls:

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

rewrite148.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`prod-diff`
692×	`expm1-udef`
690×	`log1p-udef`
402×	`add-sqr-sqrt`
398×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	170
1	435	170
2	5413	170

Stop Event

1×	node limit

Counts

16 → 407

Calls

Call 1

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

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

simplify178.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-l`
1156×	`associate-/r*`
1128×	`associate-/l*`
746×	`fma-def`
466×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	665	19031
1	1675	17055

Stop Event

1×	node limit

Counts

571 → 339

Calls

Call 1

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

Outputs
ky
(+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (+.f64 (.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (fma.f64 -1/5040 (pow.f64 ky 7) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (fma.f64 1/120 (pow.f64 ky 5) (*.f64 -1/5040 (pow.f64 ky 7))))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) th) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5))))
kx
(+.f64 kx (*.f64 -1/6 (pow.f64 kx 3)))
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (.f64 1/120 (pow.f64 kx 5))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (*.f64 1/120 (pow.f64 kx 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (*.f64 1/120 (pow.f64 kx 5)))
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (.f64 -1/5040 (pow.f64 kx 7)) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (fma.f64 1/120 (pow.f64 kx 5) (*.f64 -1/5040 (pow.f64 kx 7))))
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky))))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (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 (.f64 kx kx) (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 (.f64 kx kx) 1/2) (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 (*.f64 kx kx) (sin.f64 ky))))))
(+.f64 (sin.f64 ky) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (/.f64 (.f64 kx kx) (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)))))))
(sin.f64 kx)
(+.f64 (sin.f64 kx) (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))))
(+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx))))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) (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 (.f64 ky ky) (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 (*.f64 ky ky) (sin.f64 kx))))))
(+.f64 (sin.f64 kx) (fma.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 (.f64 ky ky) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (pow.f64 ky 4) (/.f64 (sin.f64 kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))))
ky
(+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (+.f64 (.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (fma.f64 -1/5040 (pow.f64 ky 7) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (fma.f64 1/120 (pow.f64 ky 5) (*.f64 -1/5040 (pow.f64 ky 7))))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) th) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5))))
kx
(+.f64 kx (*.f64 -1/6 (pow.f64 kx 3)))
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (.f64 1/120 (pow.f64 kx 5))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (*.f64 1/120 (pow.f64 kx 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (*.f64 1/120 (pow.f64 kx 5)))
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (.f64 -1/5040 (pow.f64 kx 7)) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (fma.f64 1/120 (pow.f64 kx 5) (*.f64 -1/5040 (pow.f64 kx 7))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(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 kx) (sin.f64 th))))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (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 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(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 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (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 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (fma.f64 (pow.f64 ky 7) (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))))) (.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)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2)))))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))))
(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 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (fma.f64 (pow.f64 ky 7) (-.f64 (/.f64 (.f64 -1/5040 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (/.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 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (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 kx) (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 (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 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 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 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 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 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 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 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 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 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (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 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 4)))) (.f64 -1/2 (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx kx))) (sin.f64 th)) (.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (/.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 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (/.f64 (.f64 -1/4 (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 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th)) (pow.f64 (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 1/4 (/.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 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (-.f64 (sin.f64 th) (.f64 (pow.f64 kx 4) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 4))))) (-.f64 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx (.f64 kx (sin.f64 th))))) (.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 4))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (.f64 1/4 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 4) (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 (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 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 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 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 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 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 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 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 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 th (sin.f64 ky)))
(+.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 -1/6 (.f64 (pow.f64 th 3) (sin.f64 ky)))))
(+.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (pow.f64 th 5) (sin.f64 ky))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky)))))
(fma.f64 -1/6 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 3) (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 th (sin.f64 ky)) (.f64 1/120 (.f64 (pow.f64 th 5) (sin.f64 ky))))))
(+.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 (pow.f64 th 7) (.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (pow.f64 th 5) (sin.f64 ky))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sin.f64 ky))) (.f64 -1/5040 (.f64 (pow.f64 th 7) (sin.f64 ky))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 1/120 (*.f64 (pow.f64 th 5) (sin.f64 ky))))))
(.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 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 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 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 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 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 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 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 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
ky
(+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (+.f64 (.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (fma.f64 -1/5040 (pow.f64 ky 7) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (fma.f64 1/120 (pow.f64 ky 5) (*.f64 -1/5040 (pow.f64 ky 7))))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) th) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5))))
kx
(+.f64 kx (*.f64 -1/6 (pow.f64 kx 3)))
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (.f64 1/120 (pow.f64 kx 5))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (*.f64 1/120 (pow.f64 kx 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (*.f64 1/120 (pow.f64 kx 5)))
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (.f64 -1/5040 (pow.f64 kx 7)) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (fma.f64 1/120 (pow.f64 kx 5) (*.f64 -1/5040 (pow.f64 kx 7))))
(/.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 ky ky) (.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 1/2 (/.f64 ky (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) ky)) (/.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 ky ky) (*.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 ky (/.f64 (.f64 (sin.f64 kx) (sin.f64 th)) ky)) (/.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 (/.f64 (pow.f64 ky 6) (sin.f64 kx)) (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))) (fma.f64 1/2 (/.f64 (.f64 ky ky) (*.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 6) (sin.f64 kx)) (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))) (fma.f64 1/2 (/.f64 ky (/.f64 (.f64 (sin.f64 kx) (sin.f64 th)) ky)) (/.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 (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 kx kx) (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 1/2 (/.f64 kx (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)) (/.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 (.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 kx (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx)) (/.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 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))))) (fma.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (pow.f64 kx 6) (/.f64 (.f64 (sin.f64 ky) (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)))))) (fma.f64 1/2 (/.f64 kx (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx)) (/.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 (/.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)))
(.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 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 (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 -7/360 (pow.f64 th 3))))
(+.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)))))))
(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 (.f64 (pow.f64 th 5) (fma.f64 -1/5040 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (fma.f64 1/720 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (.f64 1/6 (.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 (-.f64 (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))) (.f64 (pow.f64 th 5) (+.f64 (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1/840) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -7/2160)))) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 -7/360 (pow.f64 th 3))))
(*.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))
ky
(+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 1/120 (pow.f64 ky 5))))
(+.f64 ky (+.f64 (.f64 -1/6 (pow.f64 ky 3)) (+.f64 (.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 ky (fma.f64 -1/6 (pow.f64 ky 3) (fma.f64 -1/5040 (pow.f64 ky 7) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (fma.f64 1/120 (pow.f64 ky 5) (*.f64 -1/5040 (pow.f64 ky 7))))
th
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(fma.f64 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) 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 -1/6 (pow.f64 th 3) th) (fma.f64 -1/5040 (pow.f64 th 7) (*.f64 1/120 (pow.f64 th 5))))
kx
(+.f64 kx (*.f64 -1/6 (pow.f64 kx 3)))
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (.f64 1/120 (pow.f64 kx 5))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (*.f64 1/120 (pow.f64 kx 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (*.f64 1/120 (pow.f64 kx 5)))
(+.f64 kx (+.f64 (.f64 -1/6 (pow.f64 kx 3)) (+.f64 (.f64 -1/5040 (pow.f64 kx 7)) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 kx (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) (*.f64 1/120 (pow.f64 kx 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 kx 3) kx) (fma.f64 1/120 (pow.f64 kx 5) (*.f64 -1/5040 (pow.f64 kx 7))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(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 kx) (sin.f64 th))))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (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 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(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 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(+.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 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (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 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (fma.f64 (pow.f64 ky 7) (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))))) (.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)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2)))))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))))
(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 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (fma.f64 (pow.f64 ky 7) (-.f64 (/.f64 (.f64 -1/5040 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (/.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 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 th)) -1/2) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (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 kx) (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 (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 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 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 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 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 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 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 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 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 th (sin.f64 ky)))
(+.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 -1/6 (.f64 (pow.f64 th 3) (sin.f64 ky)))))
(+.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (pow.f64 th 5) (sin.f64 ky))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky)))))
(fma.f64 -1/6 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 3) (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 th (sin.f64 ky)) (.f64 1/120 (.f64 (pow.f64 th 5) (sin.f64 ky))))))
(+.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 (pow.f64 th 7) (.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (pow.f64 th 5) (sin.f64 ky))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 th (sin.f64 ky))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sin.f64 ky))) (.f64 -1/5040 (.f64 (pow.f64 th 7) (sin.f64 ky))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (.f64 th (sin.f64 ky)) (.f64 1/120 (*.f64 (pow.f64 th 5) (sin.f64 ky))))))
(.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 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 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 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
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(hypot.f64 (sin.f64 ky) (sin.f64 kx))
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(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
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(sin.f64 ky)
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(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.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 ky) (sin.f64 kx)) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 th) 3)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 3)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (*.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 ky) (sin.f64 kx)) (sin.f64 ky)))
(exp.f64 (log.f64 (*.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 ky) (sin.f64 kx)) (sin.f64 ky)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(log1p.f64 (expm1.f64 (*.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 ky) (sin.f64 kx)) (sin.f64 ky)))

eval252.0ms (0.8%)

Compiler: Compiled 15443 to 6706 computations (56.6% saved)

prune253.0ms (0.8%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	692	34	726
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	694	36	730

Accuracy

99.7%

Counts

730 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	11.8%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
	11.8%	(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
▶	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	66.9%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.3%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	64.3%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
▶	35.7%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	34.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	34.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	34.8%	(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	30.0%	(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	64.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th)))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	38.2%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
	27.3%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
	62.4%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (fabs.f64 (sin.f64 th)))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶	68.0%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	48.5%	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
▶	34.6%	(sin.f64 th)
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	11.8%	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
	11.8%	(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
▶	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	66.9%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.3%	(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	64.3%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
▶	35.7%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	34.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	34.6%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	34.8%	(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	30.0%	(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	64.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th)))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	38.2%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
	27.3%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
	62.4%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (fabs.f64 (sin.f64 th)))
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶	68.0%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	48.5%	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
▶	34.6%	(sin.f64 th)
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))

Compiler

Compiled 2104 to 1432 computations (31.9% saved)

localize354.0ms (1.1%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	97.7%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	82.3%	(sin.f64 kx)
	77.4%	(sin.f64 th)
	69.2%	(sin.f64 ky)
✓	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	82.3%	(sin.f64 kx)
	77.4%	(sin.f64 th)
	69.2%	(sin.f64 ky)
✓	99.7%	(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
✓	99.7%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	77.4%	(sin.f64 th)
	69.2%	(sin.f64 ky)
	77.4%	(sin.f64 th)
✓	99.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	82.3%	(sin.f64 kx)
	77.4%	(sin.f64 th)
	69.2%	(sin.f64 ky)

Compiler

Compiled 141 to 19 computations (86.5% saved)

series47.0ms (0.1%)

Counts

5 → 180

Calls

45 calls:

Time	Variable		Point	Expression
7.0ms	ky	@	-inf	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
3.0ms	ky	@	inf	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
2.0ms	ky	@	-inf	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
2.0ms	th	@	0	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	kx	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))

rewrite108.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`expm1-udef`
682×	`log1p-udef`
580×	`prod-diff`
440×	`pow1`
438×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	155
1	425	147
2	6084	147

Stop Event

1×	node limit

Counts

5 → 195

Calls

Call 1

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

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

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-r`
1108×	`fma-def`
1020×	`times-frac`
950×	`associate-l`
548×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	23577
1	2524	21597

Stop Event

1×	node limit

Counts

375 → 412

Calls

Call 1

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

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

eval732.0ms (2.2%)

Compiler: Compiled 44741 to 17455 computations (61% saved)

prune342.0ms (1%)

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	2315	36	2351
Fresh	14	15	29
Picked	2	3	5
Done	0	2	2
Total	2331	56	2387

Accuracy

99.7%

Counts

2387 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	33.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	15.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
✓	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.0%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	51.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	30.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	37.9%	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	66.9%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
	24.4%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	15.1%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.7%	(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
▶	24.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
	22.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	13.6%	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	24.8%	(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
	22.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	25.7%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
▶	15.9%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	20.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	24.0%	(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
	33.9%	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	41.9%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	27.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
✓	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	35.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	59.0%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
▶	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.6%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	34.6%	(sin.f64 th)
	13.6%	(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
	20.9%	(log.f64 (exp.f64 (sin.f64 th)))
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	37.0%	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
	31.7%	(fabs.f64 (sin.f64 th))
	34.6%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	20.1%	(exp.f64 (log.f64 (sin.f64 th)))
▶	25.0%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	24.5%	th
	20.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	33.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	15.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
✓	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.0%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	51.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	30.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	37.9%	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	66.9%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
	24.4%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	15.1%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.7%	(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
▶	24.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
	22.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	13.6%	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	24.8%	(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
	22.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	25.7%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
▶	15.9%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	20.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	24.0%	(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
	33.9%	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	41.9%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	27.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
✓	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	35.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	59.0%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
▶	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.6%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	34.6%	(sin.f64 th)
	13.6%	(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
	20.9%	(log.f64 (exp.f64 (sin.f64 th)))
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	37.0%	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
	31.7%	(fabs.f64 (sin.f64 th))
	34.6%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	20.1%	(exp.f64 (log.f64 (sin.f64 th)))
▶	25.0%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	24.5%	th

Compiler

Compiled 2560 to 1812 computations (29.2% saved)

localize409.0ms (1.2%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 (sin.f64 ky) (fabs.f64 th))
✓	97.8%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	82.3%	(sin.f64 kx)
	69.6%	(sin.f64 ky)
✓	99.9%	(/.f64 (hypot.f64 (sin.f64 ky) kx) th)
✓	97.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
	69.6%	(sin.f64 ky)
✓	99.4%	(pow.f64 (sin.f64 th) 3)
	77.4%	(sin.f64 th)
✓	69.6%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
✓	99.8%	(/.f64 kx (sin.f64 th))
✓	97.5%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	77.4%	(sin.f64 th)
	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	82.3%	(sin.f64 kx)
	77.4%	(sin.f64 th)
	69.6%	(sin.f64 ky)

Compiler

Compiled 123 to 25 computations (79.7% saved)

series34.0ms (0.1%)

Counts

8 → 188

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	kx	@	-inf	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	th	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
2.0ms	kx	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) kx) th)
1.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	ky	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))

rewrite130.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`expm1-udef`
760×	`log1p-udef`
622×	`prod-diff`
450×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	138
1	457	130
2	6232	130

Stop Event

1×	node limit

Counts

8 → 254

Calls

Call 1

Inputs
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 kx (sin.f64 th))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (sin.f64 th) 3)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (hypot.f64 (sin.f64 ky) kx) th)
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (fabs.f64 th))

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

simplify172.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-r`
932×	`associate-l`
786×	`fma-def`
770×	`times-frac`
688×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	15868
1	2432	14458

Stop Event

1×	node limit

Counts

442 → 456

Calls

Call 1

Inputs
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky th) kx)
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx))))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 kx th)
(+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 -1 (.f64 (pow.f64 th 5) (+.f64 (.f64 -1/5040 kx) (+.f64 (.f64 1/720 kx) (.f64 1/6 (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx))))))) (+.f64 (.f64 1/6 (*.f64 kx th)) (/.f64 kx th))))
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)
(pow.f64 th 3)
(+.f64 (*.f64 -1/2 (pow.f64 th 5)) (pow.f64 th 3))
(+.f64 (.f64 -1/2 (pow.f64 th 5)) (+.f64 (.f64 13/120 (pow.f64 th 7)) (pow.f64 th 3)))
(+.f64 (.f64 -1/2 (pow.f64 th 5)) (+.f64 (.f64 -41/3024 (pow.f64 th 9)) (+.f64 (*.f64 13/120 (pow.f64 th 7)) (pow.f64 th 3))))
(/.f64 (*.f64 ky th) kx)
(+.f64 (.f64 (pow.f64 ky 3) (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3))))) (/.f64 (.f64 ky th) kx))
(+.f64 (.f64 (pow.f64 ky 3) (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3))))) (+.f64 (.f64 (pow.f64 ky 5) (-.f64 (.f64 1/120 (/.f64 th kx)) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) (pow.f64 kx 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3)))) (pow.f64 kx 2)))))) (/.f64 (*.f64 ky th) kx)))
(+.f64 (.f64 (pow.f64 ky 3) (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3))))) (+.f64 (.f64 (pow.f64 ky 5) (-.f64 (.f64 1/120 (/.f64 th kx)) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) (pow.f64 kx 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3)))) (pow.f64 kx 2)))))) (+.f64 (.f64 (pow.f64 ky 7) (-.f64 (.f64 -1/5040 (/.f64 th kx)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3))))) (pow.f64 kx 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 th (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 kx 2))))) (pow.f64 kx 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 th kx)) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) (pow.f64 kx 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th kx)) (.f64 1/2 (/.f64 th (pow.f64 kx 3)))) (pow.f64 kx 2))))) (pow.f64 kx 2))))))) (/.f64 (*.f64 ky th) kx))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
th
(+.f64 th (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) th) (pow.f64 (sin.f64 ky) 2))))
(+.f64 th (+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (.f64 -1/8 (/.f64 th (pow.f64 (sin.f64 ky) 4)))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) th) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 th (+.f64 (.f64 -1 (.f64 (pow.f64 kx 4) (+.f64 (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (.f64 -1/8 (/.f64 th (pow.f64 (sin.f64 ky) 4)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (.f64 -1/8 (/.f64 th (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2))) (.f64 1/8 (/.f64 th (pow.f64 (sin.f64 ky) 6)))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) th) (pow.f64 (sin.f64 ky) 2))))))
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 th (pow.f64 (sin.f64 ky) 5))) (.f64 -1/8 (.f64 th (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (/.f64 (.f64 th (sin.f64 ky)) kx)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (.f64 -1/4 (.f64 th (pow.f64 (sin.f64 ky) 5))) (.f64 -1/8 (.f64 th (pow.f64 (sin.f64 ky) 5)))))) (.f64 1/8 (.f64 th (pow.f64 (sin.f64 ky) 7)))) (pow.f64 kx 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 th (pow.f64 (sin.f64 ky) 5))) (.f64 -1/8 (.f64 th (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (/.f64 (*.f64 th (sin.f64 ky)) kx))))
(.f64 -1 (/.f64 (.f64 th (sin.f64 ky)) kx))
(+.f64 (.f64 -1 (/.f64 (.f64 th (sin.f64 ky)) kx)) (.f64 1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 th (sin.f64 ky)) kx)) (+.f64 (.f64 -1/4 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (.f64 1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))))))
(+.f64 (.f64 -1 (/.f64 (.f64 th (sin.f64 ky)) kx)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (.f64 -1/4 (.f64 th (pow.f64 (sin.f64 ky) 5))) (.f64 -1/8 (.f64 th (pow.f64 (sin.f64 ky) 5))))) (pow.f64 kx 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 7)) (pow.f64 kx 7))) (.f64 1/2 (/.f64 (.f64 th (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 kx th)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 kx th))) (/.f64 kx th))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) (.f64 kx th))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 kx th))) (/.f64 kx th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) (.f64 kx 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 kx) 2)) (pow.f64 kx 2))))) (.f64 kx th))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 kx th))) (/.f64 kx th))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) th)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 th (sin.f64 ky)))) (/.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (.f64 th (pow.f64 (sin.f64 ky) 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 th (sin.f64 ky)))) (/.f64 (sin.f64 ky) th)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (.f64 th (pow.f64 (sin.f64 ky) 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 kx 6) (.f64 th (pow.f64 (sin.f64 ky) 5)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 th (sin.f64 ky)))) (/.f64 (sin.f64 ky) th))))
(/.f64 kx th)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx th))) (/.f64 kx th))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (pow.f64 kx 3) th))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx th))) (/.f64 kx th)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (.f64 (pow.f64 kx 3) th))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (.f64 (pow.f64 kx 5) th))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx th))) (/.f64 kx th))))
(*.f64 -1 (/.f64 kx th))
(+.f64 (.f64 -1 (/.f64 kx th)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx th))))
(+.f64 (.f64 -1 (/.f64 kx th)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx th))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (*.f64 (pow.f64 kx 3) th)))))
(+.f64 (.f64 -1 (/.f64 kx th)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx th))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (.f64 (pow.f64 kx 5) th))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (*.f64 (pow.f64 kx 3) th))))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(+.f64 (.f64 (pow.f64 ky 3) (-.f64 (.f64 -1/6 (/.f64 (fabs.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (fabs.f64 th) (pow.f64 (sin.f64 kx) 3))))) (/.f64 (.f64 ky (fabs.f64 th)) (sin.f64 kx)))
(+.f64 (.f64 (pow.f64 ky 3) (-.f64 (.f64 -1/6 (/.f64 (fabs.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (fabs.f64 th) (pow.f64 (sin.f64 kx) 3))))) (+.f64 (.f64 (pow.f64 ky 5) (-.f64 (.f64 1/120 (/.f64 (fabs.f64 th) (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (fabs.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 (fabs.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (fabs.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)))))) (/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))))
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(*.f64 1 (pow.f64 (sin.f64 th) 3))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(*.f64 (pow.f64 (sin.f64 th) 2) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(*.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 3) (sin.f64 th))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 3) (pow.f64 (sqrt.f64 (sin.f64 th)) 3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) 1) (sin.f64 th))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(sqrt.f64 (pow.f64 (sin.f64 th) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 th))))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)))) 1)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 1)
(.f64 1 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (cbrt.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 2)) (cbrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 th (hypot.f64 (sin.f64 ky) kx))))
(.f64 (sqrt.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) (sqrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 th (hypot.f64 (sin.f64 ky) kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) kx)) th)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 1 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2)) (cbrt.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) 1) th)
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) kx))) (neg.f64 th))
(pow.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 th (sin.f64 ky))) -1)
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) kx)) th)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(exp.f64 (log.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))) 1)
(*.f64 (hypot.f64 (sin.f64 ky) kx) (/.f64 1 th))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 1)
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 1 th)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 1 th)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 1 (neg.f64 th)))
(*.f64 (/.f64 1 th) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (hypot.f64 (sin.f64 ky) kx) (cbrt.f64 th)))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sqrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 2)
(pow.f64 (/.f64 th (hypot.f64 (sin.f64 ky) kx)) -1)
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) 3) (pow.f64 th 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))) 1)
(.f64 th (.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(.f64 (sin.f64 ky) (.f64 th (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 th (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) 1)
(.f64 1 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(.f64 (pow.f64 (cbrt.f64 (.f64 th (sin.f64 ky))) 2) (.f64 (cbrt.f64 (.f64 th (sin.f64 ky))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(.f64 (sqrt.f64 (.f64 th (sin.f64 ky))) (.f64 (sqrt.f64 (.f64 th (sin.f64 ky))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 th (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 th 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (.f64 th (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 th (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 th (sin.f64 ky))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 th (sin.f64 ky))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 th (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 th (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))) -1)
(neg.f64 (/.f64 (*.f64 th (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 th (sin.f64 ky)))) 1)
(pow.f64 (*.f64 th (sin.f64 ky)) 1)
(pow.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) 2)
(sqrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 2))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 th (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 th (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (.f64 th (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (*.f64 th (sin.f64 ky))))

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

eval406.0ms (1.2%)

Compiler: Compiled 25895 to 11102 computations (57.1% saved)

prune355.0ms (1.1%)

Pruning

84 alts after pruning (75 fresh and 9 done)

	Pruned	Kept	Total
New	1407	33	1440
Fresh	4	42	46
Picked	1	4	5
Done	0	5	5
Total	1412	84	1496

Accuracy

99.7%

Counts

1496 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	33.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	15.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
✓	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.0%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	51.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	37.9%	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
	24.4%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	15.1%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.7%	(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
	13.6%	(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
	12.2%	(/.f64 (*.f64 ky th) kx)
	22.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
	17.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
	24.4%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	10.6%	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
	10.6%	(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.3%	(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	24.8%	(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
	13.4%	(/.f64 th (/.f64 kx (sin.f64 ky)))
	22.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	25.7%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
▶	13.6%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
	11.8%	(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
	12.5%	(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
✓	15.9%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	17.0%	(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
▶	13.0%	(/.f64 ky (/.f64 kx th))
	13.6%	(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
	13.4%	(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
	15.9%	(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
	9.8%	(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
	20.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	11.3%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	10.9%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
	33.9%	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
	15.9%	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	25.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
▶	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	41.9%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	27.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	15.1%	(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
✓	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	35.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	59.0%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	67.7%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
✓	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.6%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	34.6%	(sin.f64 th)
	13.6%	(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
	20.9%	(log.f64 (exp.f64 (sin.f64 th)))
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	12.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
	31.7%	(fabs.f64 (sin.f64 th))
	15.1%	(fabs.f64 th)
	34.6%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	20.1%	(exp.f64 (log.f64 (sin.f64 th)))
	24.8%	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
✓	25.0%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	28.3%	(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
	14.7%	(cbrt.f64 (pow.f64 th 3))
	20.8%	(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
	20.8%	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
	16.3%	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
▶	21.3%	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
	24.5%	th
	20.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
	33.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	30.4%	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	15.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
✓	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.0%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	51.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	37.9%	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
	24.4%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
	25.3%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	15.1%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.7%	(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
	13.6%	(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
	12.2%	(/.f64 (*.f64 ky th) kx)
	22.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
	17.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
	24.4%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	10.6%	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
	10.6%	(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.3%	(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	24.8%	(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
	13.4%	(/.f64 th (/.f64 kx (sin.f64 ky)))
	22.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	25.7%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
▶	13.6%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
	11.8%	(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
	12.5%	(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
✓	15.9%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	17.0%	(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
▶	13.0%	(/.f64 ky (/.f64 kx th))
	13.6%	(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
	13.4%	(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
	15.9%	(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
	9.8%	(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
	20.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	11.3%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	10.9%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
	33.9%	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
	15.9%	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	25.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
▶	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	41.9%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	27.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	15.1%	(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
✓	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	35.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	59.0%	(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	67.7%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
✓	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.6%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	34.6%	(sin.f64 th)
	13.6%	(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
	20.9%	(log.f64 (exp.f64 (sin.f64 th)))
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	12.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
	31.7%	(fabs.f64 (sin.f64 th))
	15.1%	(fabs.f64 th)
	34.6%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	20.1%	(exp.f64 (log.f64 (sin.f64 th)))
	24.8%	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
✓	25.0%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	28.3%	(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
	14.7%	(cbrt.f64 (pow.f64 th 3))
	20.8%	(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
	20.8%	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
	16.3%	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
▶	21.3%	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
	24.5%	th

Compiler

Compiled 3872 to 2760 computations (28.7% saved)

localize529.0ms (1.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.4%	(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
✓	88.9%	(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3))
	79.3%	(sin.f64 th)
✓	69.3%	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	83.1%	(sin.f64 kx)
	79.3%	(sin.f64 th)
	69.2%	(sin.f64 ky)
✓	99.9%	(/.f64 (sin.f64 kx) (fabs.f64 th))
✓	97.5%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
	83.1%	(sin.f64 kx)
✓	95.3%	(/.f64 ky (/.f64 kx th))
✓	99.6%	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	83.1%	(sin.f64 kx)
	79.3%	(sin.f64 th)
	69.2%	(sin.f64 ky)

Compiler

Compiled 133 to 38 computations (71.4% saved)

series35.0ms (0.1%)

Counts

8 → 184

Calls

51 calls:

Time	Variable		Point	Expression
13.0ms	th	@	inf	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
4.0ms	ky	@	-inf	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
1.0ms	kx	@	0	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
1.0ms	ky	@	0	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
1.0ms	ky	@	0	(/.f64 ky (/.f64 kx th))

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`expm1-udef`
668×	`prod-diff`
486×	`add-sqr-sqrt`
484×	`pow1`
476×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	126
1	524	118
2	6860	118

Stop Event

1×	node limit

Counts

8 → 253

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 ky (/.f64 kx th))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 (sin.f64 kx) (fabs.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(*.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (pow.f64 (sin.f64 th) 2) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(*.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 3/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 th) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 3) (sin.f64 th))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 3) (pow.f64 (sqrt.f64 (sin.f64 th)) 3))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3) (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) 1) (sin.f64 th))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) 3)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1)
(pow.f64 (pow.f64 (sin.f64 th) 9) 1/3)
(pow.f64 (pow.f64 (sin.f64 th) 2) 3/2)
(pow.f64 (pow.f64 (sin.f64 th) 3/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 th) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 3))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 th) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) 3)) 1))
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)
(.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(*.f64 (pow.f64 (sin.f64 th) 9) 1)
(*.f64 1 (pow.f64 (sin.f64 th) 9))
(.f64 (pow.f64 (sin.f64 th) 2) (.f64 (sin.f64 th) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3))
(.f64 (pow.f64 (sin.f64 th) 3/2) (.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 9/2) (pow.f64 (sin.f64 th) 9/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 9) (pow.f64 (cbrt.f64 (sin.f64 th)) 9))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 9) (pow.f64 (sqrt.f64 (sin.f64 th)) 9))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3) (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (sin.f64 th)) (pow.f64 (sin.f64 th) 2))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) 1) (pow.f64 (sin.f64 th) 3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 2)) (sin.f64 th))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3/2)) (pow.f64 (sin.f64 th) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 th) 18))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 9))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 9) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9)))
(exp.f64 (*.f64 9 (log.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 9))
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 9)))

simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-r`
1166×	`associate-l`
762×	`associate-/l*`
608×	`fma-def`
472×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	774	12011
1	1994	11491

Stop Event

1×	node limit

Counts

437 → 412

Calls

Call 1

Inputs
(*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (.f64 -1/6 (.f64 (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 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.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 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.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 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 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 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+.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) 3))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky))))
(+.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) 3))) (.f64 -1/4 (/.f64 (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 (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 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (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) 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 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 3))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 kx 2) (sin.f64 th)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky (fabs.f64 th)))) (/.f64 (.f64 ky (fabs.f64 th)) kx))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 ky (fabs.f64 th))) (.f64 1/120 (.f64 ky (fabs.f64 th)))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 ky (fabs.f64 th)))) (/.f64 (.f64 ky (fabs.f64 th)) kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 ky (fabs.f64 th))) (.f64 1/120 (.f64 ky (fabs.f64 th)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 -1/5040 (.f64 ky (fabs.f64 th))) (+.f64 (.f64 1/720 (.f64 ky (fabs.f64 th))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 ky (fabs.f64 th))) (.f64 1/120 (.f64 ky (fabs.f64 th))))))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 ky (fabs.f64 th)))) (/.f64 (*.f64 ky (fabs.f64 th)) kx))))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 kx (fabs.f64 th))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (fabs.f64 th))) (/.f64 kx (fabs.f64 th)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) (fabs.f64 th))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) (fabs.f64 th))) (/.f64 kx (fabs.f64 th))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) (fabs.f64 th))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 kx 7) (fabs.f64 th))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) (fabs.f64 th))) (/.f64 kx (fabs.f64 th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 ky 5) (sin.f64 th)) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 ky 3) (sin.f64 th)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 ky 7) (sin.f64 th)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 ky 5) (sin.f64 th)) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(+.f64 (.f64 1/6 (.f64 kx (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 1/120 (.f64 (sin.f64 ky) (sin.f64 th)))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 kx 3) (+.f64 (.f64 -1/36 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 1/120 (.f64 (sin.f64 ky) (sin.f64 th)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 1/720 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 1/120 (.f64 (sin.f64 ky) (sin.f64 th))))))))) (+.f64 (.f64 1/6 (.f64 kx (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 th 3) (sin.f64 ky)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 th 7) (sin.f64 ky)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 th 5) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
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)
(pow.f64 th 3)
(+.f64 (*.f64 -1/2 (pow.f64 th 5)) (pow.f64 th 3))
(+.f64 (.f64 -1/2 (pow.f64 th 5)) (+.f64 (.f64 13/120 (pow.f64 th 7)) (pow.f64 th 3)))
(+.f64 (.f64 -1/2 (pow.f64 th 5)) (+.f64 (.f64 -41/3024 (pow.f64 th 9)) (+.f64 (*.f64 13/120 (pow.f64 th 7)) (pow.f64 th 3))))
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 th 9)
(+.f64 (*.f64 -3/2 (pow.f64 th 11)) (pow.f64 th 9))
(+.f64 (.f64 -3/2 (pow.f64 th 11)) (+.f64 (.f64 43/40 (pow.f64 th 13)) (pow.f64 th 9)))
(+.f64 (.f64 -3/2 (pow.f64 th 11)) (+.f64 (.f64 -2473/5040 (pow.f64 th 15)) (+.f64 (*.f64 43/40 (pow.f64 th 13)) (pow.f64 th 9))))
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(*.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.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 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 ky (/.f64 th kx)))) 1)
(*.f64 th (/.f64 ky kx))
(*.f64 ky (/.f64 th kx))
(.f64 (.f64 ky (/.f64 th kx)) 1)
(.f64 1 (.f64 ky (/.f64 th kx)))
(.f64 (cbrt.f64 (.f64 ky (/.f64 th kx))) (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 th kx))) 2) (cbrt.f64 (*.f64 ky (/.f64 th kx))))
(.f64 (cbrt.f64 (.f64 ky ky)) (*.f64 (cbrt.f64 ky) (/.f64 th kx)))
(.f64 (sqrt.f64 (.f64 ky (/.f64 th kx))) (sqrt.f64 (*.f64 ky (/.f64 th kx))))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th kx)))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 kx) th)))
(*.f64 (/.f64 th kx) ky)
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 kx th) 2))) (/.f64 ky (cbrt.f64 (/.f64 kx th))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 kx th))) (/.f64 ky (sqrt.f64 (/.f64 kx th))))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) kx) (/.f64 (cbrt.f64 ky) (/.f64 1 th)))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) 1) (/.f64 (cbrt.f64 ky) (/.f64 kx th)))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) (cbrt.f64 (pow.f64 (/.f64 kx th) 2))) (cbrt.f64 (*.f64 ky (/.f64 th kx))))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) (sqrt.f64 (/.f64 kx th))) (/.f64 (cbrt.f64 ky) (sqrt.f64 (/.f64 kx th))))
(*.f64 (/.f64 (sqrt.f64 ky) kx) (/.f64 (sqrt.f64 ky) (/.f64 1 th)))
(*.f64 (/.f64 (sqrt.f64 ky) 1) (/.f64 (sqrt.f64 ky) (/.f64 kx th)))
(*.f64 (/.f64 (sqrt.f64 ky) (cbrt.f64 (pow.f64 (/.f64 kx th) 2))) (/.f64 (sqrt.f64 ky) (cbrt.f64 (/.f64 kx th))))
(.f64 (.f64 (/.f64 ky kx) 1) th)
(.f64 (.f64 (/.f64 ky kx) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 th))
(.f64 (.f64 (/.f64 ky kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 ky 1) (/.f64 th kx))
(*.f64 (/.f64 ky (neg.f64 kx)) (neg.f64 th))
(pow.f64 (*.f64 ky (/.f64 th kx)) 1)
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (pow.f64 (*.f64 ky (/.f64 th kx)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 th kx))) 2)
(pow.f64 (/.f64 kx (*.f64 ky th)) -1)
(neg.f64 (/.f64 ky (/.f64 (neg.f64 kx) th)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 th kx)) 2))
(log.f64 (pow.f64 (exp.f64 ky) (/.f64 th kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 th kx)))))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 th kx)) 3))
(cbrt.f64 (/.f64 (pow.f64 ky 3) (pow.f64 (/.f64 kx th) 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 th kx))))
(exp.f64 (log.f64 (*.f64 ky (/.f64 th kx))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 th kx))) 1))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 th kx))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 ky (/.f64 th (sin.f64 kx))))) 1)
(*.f64 th (/.f64 ky (sin.f64 kx)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (.f64 ky (/.f64 th (sin.f64 kx))) 1)
(.f64 1 (.f64 ky (/.f64 th (sin.f64 kx))))
(.f64 (cbrt.f64 (.f64 ky (/.f64 th (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 th (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 ky ky)) (*.f64 (cbrt.f64 ky) (/.f64 th (sin.f64 kx))))
(.f64 (sqrt.f64 (.f64 ky (/.f64 th (sin.f64 kx)))) (sqrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(*.f64 (neg.f64 ky) (/.f64 1 (/.f64 (neg.f64 (sin.f64 kx)) th)))
(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 ky (/.f64 1 th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) 1) (/.f64 (cbrt.f64 ky) (/.f64 (sin.f64 kx) th)))
(*.f64 (/.f64 (sqrt.f64 ky) 1) (/.f64 (sqrt.f64 ky) (/.f64 (sin.f64 kx) th)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))) (/.f64 ky (cbrt.f64 (/.f64 (sin.f64 kx) th))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 kx) th))) (/.f64 ky (sqrt.f64 (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) (sin.f64 kx)) (/.f64 (cbrt.f64 ky) (/.f64 1 th)))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))) (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(.f64 (/.f64 (cbrt.f64 (.f64 ky ky)) (sqrt.f64 (/.f64 (sin.f64 kx) th))) (/.f64 (cbrt.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) th))))
(*.f64 (/.f64 (sqrt.f64 ky) (sin.f64 kx)) (/.f64 (sqrt.f64 ky) (/.f64 1 th)))
(*.f64 (/.f64 (sqrt.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))) (/.f64 (sqrt.f64 ky) (cbrt.f64 (/.f64 (sin.f64 kx) th))))
(.f64 (.f64 (/.f64 ky (sin.f64 kx)) 1) th)
(.f64 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 th))
(.f64 (.f64 (/.f64 ky (sin.f64 kx)) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 ky 1) (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky (neg.f64 (sin.f64 kx))) (neg.f64 th))
(pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) 2)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(neg.f64 (/.f64 ky (/.f64 (neg.f64 (sin.f64 kx)) th)))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 ky) (/.f64 th (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 th (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 ky 3) (pow.f64 (/.f64 (sin.f64 kx) th) 3)))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 ky (/.f64 th (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) th))) 1)
(*.f64 (sin.f64 kx) (/.f64 1 th))
(*.f64 (/.f64 (sin.f64 kx) th) 1)
(*.f64 1 (/.f64 (sin.f64 kx) th))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 1 th)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 th)))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 th)))
(*.f64 (/.f64 1 th) (sin.f64 kx))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (sqrt.f64 th)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 kx) (sqrt.f64 th)))
(pow.f64 (/.f64 (sin.f64 kx) th) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) 2)
(pow.f64 (/.f64 th (sin.f64 kx)) -1)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 th 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) th)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))) 1)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1) (sin.f64 kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 th) 1)
(*.f64 1 (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) 2)))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (pow.f64 (sin.f64 th) 2) 1/3))
(*.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 (pow.f64 (sin.f64 th) 2) 1/3) (cbrt.f64 (sin.f64 th)))
(*.f64 (pow.f64 1 1/3) (sin.f64 th))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 th) 3/2) 1/3))
(pow.f64 (sin.f64 th) 1)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 th) 9) 1/9)
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(log.f64 (exp.f64 (sin.f64 th)))
(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 (log.f64 (pow.f64 (sin.f64 th) 3)) 1/3))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1)
(*.f64 (sin.f64 th) (pow.f64 (sin.f64 th) 2))
(*.f64 (pow.f64 (sin.f64 th) 3) 1)
(*.f64 1 (pow.f64 (sin.f64 th) 3))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(*.f64 (pow.f64 (sin.f64 th) 2) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(*.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 3/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 th) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 3) (sin.f64 th))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 3) (pow.f64 (sqrt.f64 (sin.f64 th)) 3))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3) (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) 1) (sin.f64 th))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) 3)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1)
(pow.f64 (pow.f64 (sin.f64 th) 9) 1/3)
(pow.f64 (pow.f64 (sin.f64 th) 2) 3/2)
(pow.f64 (pow.f64 (sin.f64 th) 3/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 th) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 3))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 th) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) 3)) 1))
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)
(.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(*.f64 (pow.f64 (sin.f64 th) 9) 1)
(*.f64 1 (pow.f64 (sin.f64 th) 9))
(.f64 (pow.f64 (sin.f64 th) 2) (.f64 (sin.f64 th) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3))
(.f64 (pow.f64 (sin.f64 th) 3/2) (.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 9/2) (pow.f64 (sin.f64 th) 9/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 9) (pow.f64 (cbrt.f64 (sin.f64 th)) 9))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 9) (pow.f64 (sqrt.f64 (sin.f64 th)) 9))
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3) (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (sin.f64 th)) (pow.f64 (sin.f64 th) 2))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) 1) (pow.f64 (sin.f64 th) 3))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 2)) (sin.f64 th))
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3/2)) (pow.f64 (sin.f64 th) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 th) 18))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 9))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 9) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9)))
(exp.f64 (*.f64 9 (log.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 9))
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 9)))

Outputs
(*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (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)))) (pow.f64 th 3)) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (fma.f64 -1/6 (pow.f64 th 3) th))
(+.f64 (.f64 -1/6 (.f64 (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 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (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)))) (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)))) (pow.f64 th 5)) (*.f64 th (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)))) (fma.f64 -1/6 (pow.f64 th 3) th)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 1/120 (pow.f64 th 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (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)))) (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)))) (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)))) (pow.f64 th 5)) (.f64 th (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)))) (fma.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)))) (fma.f64 -1/6 (pow.f64 th 3) th)))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 ky 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.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 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 -1 (.f64 (pow.f64 ky 4) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))))) (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky 4) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (/.f64 (.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 kx) 5)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 4) (+.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 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 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 2) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fma.f64 -1 (.f64 (pow.f64 ky 4) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))))) (fma.f64 -1 (.f64 (pow.f64 ky 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/4 (/.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)))))) (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
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th
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(fma.f64 -1/6 (pow.f64 th 3) th)
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(+.f64 th (fma.f64 -1/6 (pow.f64 th 3) (*.f64 1/120 (pow.f64 th 5))))
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(+.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 -1/6 (pow.f64 th 3) th) (fma.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)
(pow.f64 th 3)
(+.f64 (*.f64 -1/2 (pow.f64 th 5)) (pow.f64 th 3))
(fma.f64 -1/2 (pow.f64 th 5) (pow.f64 th 3))
(fma.f64 (pow.f64 th 5) -1/2 (pow.f64 th 3))
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(fma.f64 -1/2 (pow.f64 th 5) (fma.f64 13/120 (pow.f64 th 7) (pow.f64 th 3)))
(fma.f64 (pow.f64 th 5) -1/2 (fma.f64 (pow.f64 th 7) 13/120 (pow.f64 th 3)))
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(fma.f64 -1/2 (pow.f64 th 5) (fma.f64 -41/3024 (pow.f64 th 9) (fma.f64 13/120 (pow.f64 th 7) (pow.f64 th 3))))
(fma.f64 (pow.f64 th 5) -1/2 (fma.f64 -41/3024 (pow.f64 th 9) (fma.f64 (pow.f64 th 7) 13/120 (pow.f64 th 3))))
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
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(pow.f64 (sin.f64 th) 3)
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(fma.f64 -3/2 (pow.f64 th 11) (pow.f64 th 9))
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(fma.f64 -3/2 (pow.f64 th 11) (fma.f64 43/40 (pow.f64 th 13) (pow.f64 th 9)))
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(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
(pow.f64 (sin.f64 th) 9)
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(pow.f64 (sin.f64 th) 9)
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(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(sin.f64 th)
(*.f64 (sin.f64 th) 1)
(sin.f64 th)
(*.f64 1 (sin.f64 th))
(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 (cbrt.f64 (sin.f64 th)) (pow.f64 (pow.f64 (sin.f64 th) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
(*.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)))
(sin.f64 th)
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 2) 1/3) (cbrt.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (pow.f64 1 1/3) (sin.f64 th))
(sin.f64 th)
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 th) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3/2)) (cbrt.f64 (pow.f64 (sin.f64 th) 3/2)))
(pow.f64 (sin.f64 th) 1)
(sin.f64 th)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)
(sin.f64 th)
(pow.f64 (pow.f64 (sin.f64 th) 9) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 9) 1/18) (pow.f64 (pow.f64 (sin.f64 th) 9) 1/18))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sin.f64 th)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(sin.f64 th)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(fabs.f64 (sin.f64 th))
(log.f64 (exp.f64 (sin.f64 th)))
(sin.f64 th)
(sin.f64 th)
(expm1.f64 (log1p.f64 (sin.f64 th)))
(sin.f64 th)
(exp.f64 (log.f64 (sin.f64 th)))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 1))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) 3)) 1/3))
(sin.f64 th)
(log1p.f64 (expm1.f64 (sin.f64 th)))
(sin.f64 th)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1)
(pow.f64 (sin.f64 th) 3)
(*.f64 (sin.f64 th) (pow.f64 (sin.f64 th) 2))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 (sin.f64 th) 3) 1)
(pow.f64 (sin.f64 th) 3)
(*.f64 1 (pow.f64 (sin.f64 th) 3))
(pow.f64 (sin.f64 th) 3)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (pow.f64 (sin.f64 th) 2) (cbrt.f64 (sin.f64 th))))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 4))
(*.f64 (pow.f64 (sin.f64 th) 2) (sin.f64 th))
(pow.f64 (sin.f64 th) 3)
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (sin.f64 th) 2)))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 3/2))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 th) 3))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 3) (sin.f64 th))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 3) (pow.f64 (sqrt.f64 (sin.f64 th)) 3))
(pow.f64 (sin.f64 th) 3)
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3) (pow.f64 (pow.f64 (sin.f64 th) 9/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9/2)) (cbrt.f64 (pow.f64 (sin.f64 th) 9/2)))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) 1) (sin.f64 th))
(pow.f64 (sin.f64 th) 3)
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (cbrt.f64 (pow.f64 (sin.f64 th) 2))) (cbrt.f64 (sin.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (.f64 (pow.f64 (sin.f64 th) 2) (cbrt.f64 (sin.f64 th))))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 4))
(.f64 (.f64 (pow.f64 (sin.f64 th) 2) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) 3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (pow.f64 (sin.f64 th) 3) 1)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (pow.f64 (sin.f64 th) 9) 1/3)
(pow.f64 (sin.f64 th) 3)
(pow.f64 (pow.f64 (sin.f64 th) 2) 3/2)
(pow.f64 (pow.f64 (sin.f64 th) 3/2) 2)
(pow.f64 (sin.f64 th) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 6))
(fabs.f64 (pow.f64 (sin.f64 th) 3))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3)))
(pow.f64 (sin.f64 th) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 3))))
(pow.f64 (sin.f64 th) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3)))
(pow.f64 (sin.f64 th) 3)
(exp.f64 (log.f64 (pow.f64 (sin.f64 th) 3)))
(pow.f64 (sin.f64 th) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) 3)) 1))
(pow.f64 (sin.f64 th) 3)
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1/3))
(pow.f64 (sin.f64 th) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 3)))
(pow.f64 (sin.f64 th) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)
(pow.f64 (sin.f64 th) 9)
(.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(*.f64 (pow.f64 (sin.f64 th) 9) 1)
(pow.f64 (sin.f64 th) 9)
(*.f64 1 (pow.f64 (sin.f64 th) 9))
(pow.f64 (sin.f64 th) 9)
(.f64 (pow.f64 (sin.f64 th) 2) (.f64 (sin.f64 th) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(*.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(.f64 (pow.f64 (sin.f64 th) 3/2) (.f64 (pow.f64 (sin.f64 th) 3/2) (pow.f64 (sin.f64 th) 6)))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(*.f64 (pow.f64 (sin.f64 th) 9/2) (pow.f64 (sin.f64 th) 9/2))
(pow.f64 (sin.f64 th) 9)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 9) (pow.f64 (cbrt.f64 (sin.f64 th)) 9))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) 9) (pow.f64 (sqrt.f64 (sin.f64 th)) 9))
(pow.f64 (sqrt.f64 (sin.f64 th)) 18)
(*.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3) (pow.f64 (pow.f64 (sin.f64 th) 3/2) 3))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (sin.f64 th)) (pow.f64 (sin.f64 th) 2))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) 1) (pow.f64 (sin.f64 th) 3))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 2)) (sin.f64 th))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(.f64 (.f64 (pow.f64 (sin.f64 th) 6) (pow.f64 (sin.f64 th) 3/2)) (pow.f64 (sin.f64 th) 3/2))
(*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 th) 6))
(pow.f64 (pow.f64 (sin.f64 th) 3) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 18))
(log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))
(pow.f64 (sin.f64 th) 9)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 th) 9))))
(pow.f64 (sin.f64 th) 9)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 9) 3))
(pow.f64 (sin.f64 th) 9)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9)))
(pow.f64 (sin.f64 th) 9)
(exp.f64 (*.f64 9 (log.f64 (sin.f64 th))))
(pow.f64 (sin.f64 th) 9)
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) 9))
(pow.f64 (sin.f64 th) 9)
(exp.f64 (.f64 (.f64 9 (log.f64 (sin.f64 th))) 1))
(pow.f64 (sin.f64 th) 9)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 th) 9)))
(pow.f64 (sin.f64 th) 9)

eval310.0ms (0.9%)

Compiler: Compiled 18134 to 7862 computations (56.6% saved)

prune234.0ms (0.7%)

Pruning

110 alts after pruning (98 fresh and 12 done)

	Pruned	Kept	Total
New	1085	38	1123
Fresh	10	60	70
Picked	2	3	5
Done	0	9	9
Total	1097	110	1207

Accuracy

99.7%

Counts

1207 → 110

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.3%	(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
	15.7%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
	28.0%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
	13.0%	(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
	33.9%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	7.4%	(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
✓	57.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.9%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
	33.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	15.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
✓	64.4%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.0%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	30.9%	(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	57.3%	(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.5%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	37.9%	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
	24.4%	(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
	16.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	15.6%	(/.f64 (*.f64 th ky) (sin.f64 kx))
	15.1%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.7%	(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
	11.7%	(/.f64 (*.f64 ky (fabs.f64 th)) kx)
	12.2%	(/.f64 (*.f64 ky th) kx)
	28.3%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	22.4%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
	17.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
	24.4%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	28.3%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	10.6%	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
	36.5%	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.3%	(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	24.8%	(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
	17.8%	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	13.4%	(/.f64 th (/.f64 kx (sin.f64 ky)))
	22.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	26.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	25.7%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
✓	13.6%	(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
	11.8%	(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
	12.5%	(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
✓	15.9%	(/.f64 ky (/.f64 kx (sin.f64 th)))
	17.0%	(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
✓	13.0%	(/.f64 ky (/.f64 kx th))
	13.6%	(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
	13.4%	(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
	15.9%	(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
	13.9%	(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
	9.8%	(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
	27.2%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	20.9%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	11.3%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	10.9%	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
	33.9%	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
	25.5%	(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
	15.9%	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	59.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	34.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	25.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	33.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
✓	28.3%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	21.6%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
	28.0%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
	25.4%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
	29.9%	(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
	28.3%	(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
	12.7%	(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
	41.9%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	27.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	24.8%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
	16.4%	(*.f64 (/.f64 th (sin.f64 kx)) ky)
	13.1%	(*.f64 (/.f64 th kx) ky)
	26.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	13.0%	(*.f64 (/.f64 ky kx) th)
	15.1%	(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
	12.2%	(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
	6.2%	(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
✓	59.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	35.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	59.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
✓	68.0%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	41.9%	(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) kx)))
	51.9%	(.f64 (fabs.f64 (sin.f64 ky)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	17.9%	(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
✓	34.6%	(sin.f64 th)
	13.6%	(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
	20.9%	(log.f64 (exp.f64 (sin.f64 th)))
	13.3%	(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
	64.0%	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
	11.2%	(fabs.f64 (/.f64 ky (/.f64 kx th)))
	12.7%	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
	31.7%	(fabs.f64 (sin.f64 th))
	15.1%	(fabs.f64 th)
	34.6%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	15.3%	(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
	20.1%	(exp.f64 (log.f64 (sin.f64 th)))
	16.4%	(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
	24.8%	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
✓	25.0%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	28.3%	(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
	14.7%	(cbrt.f64 (pow.f64 th 3))
	20.8%	(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
	20.8%	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
	16.3%	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
	21.3%	(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
	10.9%	(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
	20.1%	(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
	27.6%	(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
	20.2%	(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
	24.5%	th

Compiler

Compiled 2712 to 1420 computations (47.6% saved)

regimes3.2s (9.8%)

Counts

145 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) th)
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (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 (fabs.f64 (sin.f64 ky)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (log.f64 (exp.f64 (sin.f64 th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 3)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (fabs.f64 (sin.f64 th)))
(.f64 (fabs.f64 (sin.f64 ky)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))

Outputs

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

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

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

Calls

9 calls:

629.0ms	th
496.0ms	(sin.f64 th)
394.0ms	kx
376.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
361.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
74.6%	6	`kx`
82.2%	3	`ky`
85.9%	9	`th`
84.7%	6	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
80.7%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
83.0%	5	`(sin.f64 ky)`
74.6%	5	`(pow.f64 (sin.f64 kx) 2)`
75.3%	6	`(sin.f64 kx)`
82.9%	6	`(sin.f64 th)`

Compiler

Compiled 1470 to 527 computations (64.1% saved)

regimes192.0ms (0.6%)

Counts

128 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Outputs

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

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

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

Calls

1 calls:

160.0ms

ky

Results

Accuracy	Segments	Branch
82.2%	3	`ky`

Compiler

Compiled 1156 to 410 computations (64.5% saved)

regimes970.0ms (2.9%)

Counts

125 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Outputs

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

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

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

Calls

2 calls:

682.0ms	(sin.f64 ky)
212.0ms	ky

Results

Accuracy	Segments	Branch
82.1%	8	`(sin.f64 ky)`
78.9%	3	`ky`

Compiler

Compiled 1125 to 410 computations (63.6% saved)

regimes362.0ms (1.1%)

Counts

124 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Outputs

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

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

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

Calls

1 calls:

314.0ms

ky

Results

Accuracy	Segments	Branch
78.9%	3	`ky`

Compiler

Compiled 1108 to 405 computations (63.4% saved)

regimes1.3s (3.8%)

Counts

123 → 4

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))

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

Calls

3 calls:

453.0ms	ky
444.0ms	(sin.f64 th)
292.0ms	th

Results

Accuracy	Segments	Branch
77.7%	4	`th`
82.1%	7	`(sin.f64 th)`
77.5%	5	`ky`

Compiler

Compiled 1105 to 411 computations (62.8% saved)

regimes2.1s (6.2%)

Counts

122 → 4

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (fabs.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (sin.f64 kx)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(cbrt.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 9)))))
(cbrt.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 9))) 1)))

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

Calls

6 calls:

573.0ms	(sin.f64 ky)
391.0ms	ky
384.0ms	(sin.f64 th)
300.0ms	(sin.f64 kx)
241.0ms	th

Results

Accuracy	Segments	Branch
64.6%	2	`kx`
66.9%	5	`(sin.f64 kx)`
71.6%	6	`(sin.f64 ky)`
66.9%	5	`ky`
71.3%	4	`(sin.f64 th)`
69.0%	3	`th`

Compiler

Compiled 1107 to 419 computations (62.1% saved)

regimes812.0ms (2.4%)

Counts

107 → 2

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))

Outputs
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Calls

4 calls:

311.0ms	(sin.f64 ky)
181.0ms	(sin.f64 th)
157.0ms	th
137.0ms	kx

Results

Accuracy	Segments	Branch
64.6%	2	`kx`
70.8%	6	`(sin.f64 ky)`
62.0%	3	`th`
63.9%	4	`(sin.f64 th)`

Compiler

Compiled 919 to 358 computations (61% saved)

regimes670.0ms (2%)

Counts

105 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(+.f64 (sin.f64 th) (.f64 -1/2 (/.f64 (.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 1/6 th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky))))) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 18))))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 th) 3))))
(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3) 3))
(cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 th) 3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 2))

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

Calls

4 calls:

215.0ms	(sin.f64 ky)
165.0ms	(sin.f64 kx)
133.0ms	kx
131.0ms	ky

Results

Accuracy	Segments	Branch
56.3%	4	`(sin.f64 kx)`
63.1%	3	`ky`
63.7%	5	`(sin.f64 ky)`
55.0%	3	`kx`

Compiler

Compiled 897 to 354 computations (60.5% saved)

regimes1.2s (3.5%)

Counts

82 → 7

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fabs.f64 (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))

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

Calls

5 calls:

321.0ms	(sin.f64 th)
268.0ms	ky
230.0ms	(sin.f64 ky)
222.0ms	th
102.0ms	kx

Results

Accuracy	Segments	Branch
51.7%	2	`kx`
59.8%	7	`(sin.f64 ky)`
47.8%	6	`th`
51.9%	9	`(sin.f64 th)`
61.2%	7	`ky`

Compiler

Compiled 655 to 267 computations (59.2% saved)

regimes199.0ms (0.6%)

Counts

77 → 5

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 (+.f64 ky (.f64 -1/6 (pow.f64 ky 3))) (sin.f64 kx)) (sin.f64 th))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 9)))
(cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 th)) 3))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 th) 3/2) 2))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))

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

Calls

1 calls:

182.0ms

ky

Results

Accuracy	Segments	Branch
58.1%	5	`ky`

Compiler

Compiled 592 to 245 computations (58.6% saved)

regimes143.0ms (0.4%)

Counts

65 → 5

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 (sin.f64 th))) (sin.f64 kx))

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

Calls

1 calls:

128.0ms

ky

Results

Accuracy	Segments	Branch
58.1%	5	`ky`

Compiler

Compiled 488 to 203 computations (58.4% saved)

regimes90.0ms (0.3%)

Counts

60 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))

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

Calls

1 calls:

76.0ms

ky

Results

Accuracy	Segments	Branch
56.4%	3	`ky`

Compiler

Compiled 448 to 195 computations (56.5% saved)

regimes86.0ms (0.3%)

Counts

57 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
(/.f64 (*.f64 ky (fabs.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th kx))) 3)
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 kx th))) (sqrt.f64 (/.f64 kx th)))
(/.f64 ky (/.f64 kx (+.f64 th (+.f64 (.f64 -1/6 (pow.f64 th 3)) (.f64 1/120 (pow.f64 th 5))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (/.f64 (*.f64 ky th) kx)))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (cbrt.f64 (pow.f64 th 9)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(pow.f64 (sqrt.f64 (sin.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)

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

Calls

1 calls:

73.0ms

ky

Results

Accuracy	Segments	Branch
56.3%	3	`ky`

Compiler

Compiled 424 to 188 computations (55.7% saved)

regimes50.0ms (0.1%)

Counts

33 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 kx (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 th)))

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

Calls

1 calls:

42.0ms

ky

Results

Accuracy	Segments	Branch
56.3%	3	`ky`

Compiler

Compiled 239 to 109 computations (54.4% saved)

regimes226.0ms (0.7%)

Counts

29 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))
(fabs.f64 (sin.f64 th))
(cbrt.f64 (pow.f64 th 3))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
(fabs.f64 (/.f64 (*.f64 th ky) (sin.f64 kx)))

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

Calls

4 calls:

101.0ms	(sin.f64 ky)
53.0ms	ky
37.0ms	(sin.f64 kx)
26.0ms	kx

Results

Accuracy	Segments	Branch
40.7%	2	`kx`
49.7%	8	`(sin.f64 ky)`
42.6%	3	`(sin.f64 kx)`
47.4%	3	`ky`

Compiler

Compiled 225 to 111 computations (50.7% saved)

regimes50.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 th (/.f64 kx (sin.f64 ky)))
(/.f64 (*.f64 ky (fabs.f64 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(+.f64 th (*.f64 -1/6 (pow.f64 th 3)))
(/.f64 (neg.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
(/.f64 ky (*.f64 (/.f64 1 (sin.f64 th)) kx))
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 (sin.f64 th))))
(/.f64 ky (/.f64 kx (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(/.f64 ky (+.f64 (.f64 -1 (.f64 (pow.f64 th 3) (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)))) (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))))

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

Calls

1 calls:

44.0ms

ky

Results

Accuracy	Segments	Branch
46.1%	3	`ky`

Compiler

Compiled 190 to 93 computations (51.1% saved)

regimes20.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)
(sin.f64 th)
(fabs.f64 (/.f64 ky (/.f64 kx th)))

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

Calls

1 calls:

18.0ms

ky

Results

Accuracy	Segments	Branch
43.3%	3	`ky`

Compiler

Compiled 58 to 28 computations (51.7% saved)

regimes34.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
th
(*.f64 (/.f64 ky kx) th)
(*.f64 (/.f64 th kx) ky)
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 (/.f64 1 kx) (/.f64 ky (/.f64 1 th)))
(/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th)))
(fabs.f64 th)

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

Calls

3 calls:

15.0ms	ky
10.0ms	kx
7.0ms	th

Results

Accuracy	Segments	Branch
28.9%	2	`kx`
24.5%	1	`th`
33.4%	3	`ky`

Compiler

Compiled 58 to 32 computations (44.8% saved)

regimes14.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

ky

Results

Accuracy	Segments	Branch
33.3%	3	`ky`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes8.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

3.0ms	kx
3.0ms	ky
3.0ms	th

Results

Accuracy	Segments	Branch
24.5%	1	`th`
24.5%	1	`kx`
24.5%	1	`ky`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch161.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
78.0ms	20507674.73230747	1464568075.3865821
81.0ms	-2.6959704348301825	-0.025557436799042235

Results

103.0ms	113×	body	1024	valid
22.0ms	73×	body	256	valid
17.0ms	28×	body	512	valid
13.0ms	10×	body	2048	valid
2.0ms	1×	body	8192	exit

Compiler

Compiled 473 to 327 computations (30.9% saved)

bsearch158.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
78.0ms	20507674.73230747	1464568075.3865821
79.0ms	-2.6959704348301825	-0.025557436799042235

Results

101.0ms	110×	body	1024	valid
22.0ms	75×	body	256	valid
19.0ms	33×	body	512	valid
8.0ms	6×	body	2048	valid
4.0ms	2×	body	8192	exit

Compiler

Compiled 473 to 327 computations (30.9% saved)

bsearch193.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
90.0ms	-4.390308910163379e-230	-1.5992930881380797e-233
103.0ms	-3449536644204411.0	-4574879319.307543

Results

104.0ms	116×	body	1024	valid
35.0ms	111×	body	256	valid
22.0ms	31×	body	512	valid
19.0ms	14×	body	2048	valid
8.0ms	4×	body	8192	exit

Compiler

Compiled 552 to 376 computations (31.9% saved)

bsearch193.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
83.0ms	-4.390308910163379e-230	-1.5992930881380797e-233
109.0ms	-3449536644204411.0	-4574879319.307543

Results

119.0ms	127×	body	1024	valid
28.0ms	95×	body	256	valid
23.0ms	39×	body	512	valid
17.0ms	11×	body	2048	valid

Compiler

Compiled 552 to 376 computations (31.9% saved)

bsearch208.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
92.0ms	1.43416584814694e+65	1.1090112250565698e+67
0.0ms	3.131925295567824e-139	3.213872206510949e-139
115.0ms	-2.767332200305155e+24	-100142263.29477702

Results

114.0ms	122×	body	1024	valid
47.0ms	81×	body	512	valid
24.0ms	18×	body	2048	valid
16.0ms	51×	body	256	valid
2.0ms	1×	body	8192	exit

Compiler

Compiled 552 to 376 computations (31.9% saved)

bsearch3.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.131925295567824e-139	3.213872206510949e-139
0.0ms	-0.02547793475614509	-2.8149338866150568e-5
0.0ms	-0.860004839130951	-0.8554389342470698

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch84.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
83.0ms	2.723635908794066e-81	4.1821460716735705e-79

Results

46.0ms	55×	body	1024	valid
18.0ms	11×	body	2048	valid
9.0ms	16×	body	512	valid
9.0ms	30×	body	256	valid

Compiler

Compiled 277 to 180 computations (35% saved)

bsearch164.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	20507674.73230747	1464568075.3865821
87.0ms	-2.6959704348301825	-0.025557436799042235

Results

98.0ms	109×	body	1024	valid
22.0ms	32×	body	512	valid
20.0ms	68×	body	256	valid
20.0ms	15×	body	2048	valid

Compiler

Compiled 312 to 236 computations (24.4% saved)

bsearch487.0ms (1.5%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
87.0ms	3.8499558934938895e-17	1.2688082345838985e-14
72.0ms	3.814600821913316e-88	4.6365057238357146e-86
114.0ms	1.7538228367006207e-164	7.699437035844922e-155
86.0ms	-6.905851001324781e-273	-4.308087492876628e-276
49.0ms	-2.4986549348737056e-79	-1.536994597211717e-79
79.0ms	-2.6959704348301825	-0.025557436799042235

Results

311.0ms	337×	body	1024	valid
71.0ms	246×	body	256	valid
53.0ms	96×	body	512	valid
30.0ms	25×	body	2048	valid
7.0ms	4×	body	8192	exit

Compiler

Compiled 1059 to 802 computations (24.3% saved)

bsearch353.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
103.0ms	1.7538228367006207e-164	7.699437035844922e-155
58.0ms	-7.009760523631455e-74	-2.031668874689208e-74
107.0ms	-1.3298222630194416e-62	-3.952840200691892e-70
84.0ms	-2.6959704348301825	-0.025557436799042235

Results

210.0ms	232×	body	1024	valid
50.0ms	162×	body	256	valid
41.0ms	72×	body	512	valid
40.0ms	30×	body	2048	valid
4.0ms	2×	body	8192	exit

Compiler

Compiled 688 to 502 computations (27% saved)

bsearch356.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
105.0ms	1.7538228367006207e-164	7.699437035844922e-155
59.0ms	-7.009760523631455e-74	-2.031668874689208e-74
109.0ms	-1.3298222630194416e-62	-3.952840200691892e-70
82.0ms	-2.6959704348301825	-0.025557436799042235

Results

198.0ms	229×	body	1024	valid
50.0ms	165×	body	256	valid
49.0ms	79×	body	512	valid
37.0ms	23×	body	2048	valid
13.0ms	5×	body	8192	exit

Compiler

Compiled 590 to 460 computations (22% saved)

bsearch157.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
107.0ms	1.7538228367006207e-164	7.699437035844922e-155
49.0ms	-9.54106165558567e-5	-5.308670533439211e-5

Results

91.0ms	102×	body	1024	valid
22.0ms	78×	body	256	valid
20.0ms	12×	body	2048	valid
17.0ms	32×	body	512	valid
2.0ms	1×	body	8192	exit

Compiler

Compiled 281 to 219 computations (22.1% saved)

bsearch158.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
104.0ms	1.7538228367006207e-164	7.699437035844922e-155
53.0ms	-9.54106165558567e-5	-5.308670533439211e-5

Results

101.0ms	104×	body	1024	valid
24.0ms	43×	body	512	valid
19.0ms	68×	body	256	valid
10.0ms	9×	body	2048	valid

Compiler

Compiled 267 to 205 computations (23.2% saved)

bsearch157.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
108.0ms	1.7538228367006207e-164	7.699437035844922e-155
48.0ms	-9.54106165558567e-5	-5.308670533439211e-5

Results

103.0ms	120×	body	1024	valid
22.0ms	70×	body	256	valid
14.0ms	24×	body	512	valid
13.0ms	10×	body	2048	valid
2.0ms	1×	body	8192	exit

Compiler

Compiled 267 to 205 computations (23.2% saved)

bsearch122.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	3.385656992835688e-178	2.6670249486253737e-176
48.0ms	-9.54106165558567e-5	-5.308670533439211e-5

Results

76.0ms	86×	body	1024	valid
24.0ms	63×	body	256	valid
11.0ms	20×	body	512	valid
9.0ms	7×	body	2048	valid

Compiler

Compiled 205 to 155 computations (24.4% saved)

bsearch180.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	3.385656992835688e-178	2.6670249486253737e-176
105.0ms	-1.3716284019693873e-39	-4.866777304883637e-47

Results

119.0ms	130×	body	1024	valid
25.0ms	83×	body	256	valid
19.0ms	33×	body	512	valid
12.0ms	10×	body	2048	valid
2.0ms	1×	body	8192	exit

Compiler

Compiled 281 to 211 computations (24.9% saved)

bsearch218.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
108.0ms	1.7538228367006207e-164	7.699437035844922e-155
110.0ms	-6.754495255160425e-28	-1.3716284019693873e-39

Results

133.0ms	154×	body	1024	valid
40.0ms	111×	body	256	valid
25.0ms	41×	body	512	valid
16.0ms	14×	body	2048	valid

Compiler

Compiled 445 to 319 computations (28.3% saved)

bsearch180.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
100.0ms	1.7538228367006207e-164	7.699437035844922e-155
79.0ms	-2.6959704348301825	-0.025557436799042235

Results

109.0ms	124×	body	1024	valid
29.0ms	101×	body	256	valid
24.0ms	35×	body	512	valid
14.0ms	12×	body	2048	valid

Compiler

Compiled 365 to 257 computations (29.6% saved)

bsearch271.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
139.0ms	1.7538228367006207e-164	7.699437035844922e-155
132.0ms	-6.754495255160425e-28	-1.3716284019693873e-39

Results

170.0ms	158×	body	1024	valid
44.0ms	104×	body	256	valid
31.0ms	44×	body	512	valid
20.0ms	14×	body	2048	valid

Compiler

Compiled 305 to 219 computations (28.2% saved)

simplify35.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
8×	`if-if-or-not`
4×	`+-commutative`
4×	`fabs-div`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1860
1	226	1860
2	228	1860

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 75000000) (/.f64 (.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 170000000) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -3200000000000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky -1789931494904685/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -3200000000000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky -1789931494904685/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 th -102000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 th 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th 1320000000000000092449025135039532272399793029590166594603152572416) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) -7746191359077253/9007199254740992) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 th) 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 kx 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky))))) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 ky -4728779608739021/2251799813685248) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 21000000) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 ky -8358680908399641/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -6174337525708881/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 ky -5847188406839999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 ky 7699296465697155/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 ky 8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (if (<=.f64 ky 1784852045121347/10141204801825835211973625643008) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))))))
(if (<=.f64 ky -1080863910568919/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th)))) (if (<=.f64 ky -7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -1/4) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th)))) (if (<=.f64 ky -8912032396463377/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (fabs.f64 th) (if (<=.f64 ky 7970608641223095/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -8116567392432203/147573952589676412928) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -5902958103587057/73786976294838206464) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 ky -5902958103587057/73786976294838206464) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -2102928824402889/36893488147419103232) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 891101683129335/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -2236217493231505/196159429230833773869868419475239575503198607639501078528) (sin.f64 th) (if (<=.f64 ky 7413966003636067/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -6884257312483485/5986310706507378352962293074805895248510699696029696) (sin.f64 th) (if (<=.f64 ky 4560154277160365/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))) (sin.f64 th)))
(if (<=.f64 ky -7385903388887613/9007199254740992) th (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))) th))
(if (<=.f64 ky -6132704929595921/11150372599265311570767859136324180752990208) th (if (<=.f64 ky 8815976224383121/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (/.f64 ky kx) th) th))
th

Outputs
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 75000000) (/.f64 (.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 75000000) (/.f64 (.f64 (sin.f64 ky) (fabs.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 th) (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 170000000) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fabs.f64 (sin.f64 th))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -5854679515581645/2251799813685248) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky 170000000) (.f64 (fabs.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 th) (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky -3200000000000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky -1789931494904685/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -3200000000000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky -1789931494904685/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 th) (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky -3200000000000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 ky -1789931494904685/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (fabs.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 th -102000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 th 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th 1320000000000000092449025135039532272399793029590166594603152572416) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))
(if (<=.f64 th -102000000) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (if (<=.f64 th 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 th (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th 1320000000000000092449025135039532272399793029590166594603152572416) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) -7746191359077253/9007199254740992) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 th) 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 th) -7746191359077253/9007199254740992) (.f64 (sin.f64 th) (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 th) 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 th (/.f64 (fabs.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 kx 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky))))) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 kx 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)))))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 ky -4728779608739021/2251799813685248) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 21000000) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 ky -8358680908399641/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -6174337525708881/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 ky -5847188406839999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 ky 7699296465697155/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 ky 8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (if (<=.f64 ky 1784852045121347/10141204801825835211973625643008) (.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th)) (sin.f64 th)))))))
(if (<=.f64 ky -8358680908399641/288230376151711744) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -6174337525708881/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))) (if (<=.f64 ky -5847188406839999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 ky 7699296465697155/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))) (if (<=.f64 ky 8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (if (<=.f64 ky 1784852045121347/10141204801825835211973625643008) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))))))
(if (<=.f64 ky -1080863910568919/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th)))) (if (<=.f64 ky -7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -1080863910568919/36028797018963968) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th)))) (if (<=.f64 ky -7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -1/4) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (/.f64 ky (/.f64 (sin.f64 kx) (fabs.f64 (sin.f64 th)))) (if (<=.f64 ky -8912032396463377/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (fabs.f64 th) (if (<=.f64 ky 7970608641223095/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -8116567392432203/147573952589676412928) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -5902958103587057/73786976294838206464) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 ky -5902958103587057/73786976294838206464) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -5902958103587057/73786976294838206464) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -2102928824402889/36893488147419103232) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 891101683129335/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -2102928824402889/36893488147419103232) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 891101683129335/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -2236217493231505/196159429230833773869868419475239575503198607639501078528) (sin.f64 th) (if (<=.f64 ky 7413966003636067/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -2236217493231505/196159429230833773869868419475239575503198607639501078528) (sin.f64 th) (if (<=.f64 ky 7413966003636067/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -6884257312483485/5986310706507378352962293074805895248510699696029696) (sin.f64 th) (if (<=.f64 ky 4560154277160365/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))) (sin.f64 th)))
(if (<=.f64 ky -6884257312483485/5986310706507378352962293074805895248510699696029696) (sin.f64 th) (if (<=.f64 ky 4560154277160365/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 ky (+.f64 (.f64 1/6 (.f64 th kx)) (/.f64 kx th))) (sin.f64 th)))
(if (<=.f64 ky -7385903388887613/9007199254740992) th (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 ky (+.f64 (.f64 1/6 (.f64 kx th)) (/.f64 kx th))) th))
(if (<=.f64 ky -7385903388887613/9007199254740992) th (if (<=.f64 ky 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 ky (+.f64 (.f64 1/6 (.f64 th kx)) (/.f64 kx th))) th))
(if (<=.f64 ky -6132704929595921/11150372599265311570767859136324180752990208) th (if (<=.f64 ky 8815976224383121/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -6132704929595921/11150372599265311570767859136324180752990208) th (if (<=.f64 ky 8815976224383121/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 th (/.f64 ky kx)) th))
th

Compiler

Compiled 714 to 367 computations (48.6% saved)

soundness3.1s (9.2%)

Rules

1898×	`prod-diff`
1898×	`prod-diff`
1898×	`prod-diff`
1898×	`prod-diff`
1898×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	424
1	100	288
2	227	288
3	495	288
4	1799	288
5	5855	288
0	20	170
1	435	170
2	5413	170
0	665	19031
1	1675	17055
0	46	424
1	100	288
2	227	288
3	495	288
4	1799	288
5	5855	288
0	20	170
1	435	170
2	5413	170
0	665	19031
1	1675	17055
0	20	170
1	435	170
2	5413	170
0	46	424
1	100	288
2	227	288
3	495	288
4	1799	288
5	5855	288
0	845	23577
1	2524	21597
0	892	15868
1	2432	14458
0	25	126
1	524	118
2	6860	118
0	892	15868
1	2432	14458
0	25	126
1	524	118
2	6860	118
0	665	19031
1	1675	17055
0	20	170
1	435	170
2	5413	170
0	845	23577
1	2524	21597
0	845	23577
1	2524	21597
0	21	138
1	457	130
2	6232	130
0	20	170
1	435	170
2	5413	170
0	665	19031
1	1675	17055

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 1119 to 468 computations (58.2% saved)

end3.0ms (0%)

preprocess257.0ms (0.8%)

Remove: (abs kx)
Compiler: Compiled 1446 to 484 computations (66.5% saved)

analyze608.0ms (1.8%)

sample7.2s (21.7%)

preprocess514.0ms (1.5%)

eval1.0ms (0%)

prune5.0ms (0%)

localize580.0ms (1.7%)

series26.0ms (0.1%)

rewrite148.0ms (0.4%)

simplify178.0ms (0.5%)

eval252.0ms (0.8%)

prune253.0ms (0.8%)

localize354.0ms (1.1%)

series47.0ms (0.1%)

rewrite108.0ms (0.3%)

simplify170.0ms (0.5%)

eval732.0ms (2.2%)

prune342.0ms (1%)

localize409.0ms (1.2%)

series34.0ms (0.1%)

rewrite130.0ms (0.4%)

simplify172.0ms (0.5%)

eval406.0ms (1.2%)

prune355.0ms (1.1%)

localize529.0ms (1.6%)

series35.0ms (0.1%)

rewrite120.0ms (0.4%)

simplify114.0ms (0.3%)

eval310.0ms (0.9%)

prune234.0ms (0.7%)

regimes3.2s (9.8%)

regimes192.0ms (0.6%)

regimes970.0ms (2.9%)

regimes362.0ms (1.1%)

regimes1.3s (3.8%)

regimes2.1s (6.2%)

regimes812.0ms (2.4%)

regimes670.0ms (2%)

regimes1.2s (3.5%)

regimes199.0ms (0.6%)

regimes143.0ms (0.4%)

regimes90.0ms (0.3%)

regimes86.0ms (0.3%)

regimes50.0ms (0.1%)

regimes226.0ms (0.7%)

regimes50.0ms (0.1%)

regimes20.0ms (0.1%)

regimes34.0ms (0.1%)

regimes14.0ms (0%)

regimes8.0ms (0%)

bsearch161.0ms (0.5%)

bsearch158.0ms (0.5%)

bsearch193.0ms (0.6%)

bsearch193.0ms (0.6%)

bsearch208.0ms (0.6%)

bsearch3.0ms (0%)

bsearch84.0ms (0.3%)

bsearch164.0ms (0.5%)

bsearch487.0ms (1.5%)

bsearch353.0ms (1.1%)

bsearch356.0ms (1.1%)

bsearch157.0ms (0.5%)

bsearch158.0ms (0.5%)

bsearch157.0ms (0.5%)

bsearch122.0ms (0.4%)

bsearch180.0ms (0.5%)

bsearch218.0ms (0.7%)

bsearch180.0ms (0.5%)

bsearch271.0ms (0.8%)

simplify35.0ms (0.1%)

soundness3.1s (9.2%)

end3.0ms (0%)

preprocess257.0ms (0.8%)

Profiling