Details

analyze555.0ms (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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
54.7%	54.6%	45.2%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
62.5%	62.4%	37.4%	0.1%	0%	0%	0%	11
66%	65.9%	33.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 20 to 15 computations (25% saved)

sample6.8s (22.5%)

Results

5.2s	4833×	body	1024	valid
905.0ms	1403×	body	512	valid
633.0ms	2003×	body	256	valid
27.0ms	17×	body	2048	valid

Bogosity

preprocess122.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

2410×	`associate-*l/`
1530×	`associate-/l/`
1330×	`associate-*r/`
1300×	`associate-/r/`
888×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	204
1	56	140
2	90	140
3	197	140
4	571	140
5	2167	140
6	3757	140
7	4606	140
8	4874	140
9	5175	140
10	5571	140
11	6766	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2464×	`associate-/r*`
1264×	`sqr-pow`
806×	`*-commutative`
720×	`associate-r`
530×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	28	35
2	45	35
3	73	35
4	150	35
5	381	35
6	1468	35
7	2660	35
8	3457	35
9	3709	35
10	4034	35
11	4498	35
12	5098	35

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 68 to 28 computations (58.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.1b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Status

Error

Program

▶

1.9b

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

▶

0.2b

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

▶

0.2b

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	0.2b	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 36 to 9 computations (75% saved)

series25.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	th	@	inf	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
3.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	ky	@	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
2.0ms	ky	@	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`associate-*r/`
862×	`associate-*l/`
838×	`associate-/r*`
776×	`swap-sqr`
616×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	241	75
2	3023	75

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (.f64 (cbrt.f64 (sin.f64 ky)) 1) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 ky)) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 ky) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (neg.f64 (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))

Outputs

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simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/l*`
1284×	`associate-/r*`
740×	`associate-r`
650×	`*-commutative`
602×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	13636
1	1673	12822

Stop Event

1×	node limit

Counts

264 → 304

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Compiler

Compiled 36 to 9 computations (75% saved)

series9.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	th	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms	ky	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
0.0ms	kx	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
0.0ms	ky	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-*r/`
1478×	`associate-/l*`
1286×	`associate-*l/`
466×	`associate-/r/`
268×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	247	60
2	3258	60

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 ky)) (.f64 -1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) -1) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 th)))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (/.f64 (sin.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (sin.f64 ky)) -1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) -1) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2)) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 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ky) (sin.f64 kx)) (sin.f64 th))))))))

simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1472×	`distribute-lft-in`
624×	`*-commutative`
608×	`associate-r`
516×	`+-commutative`
512×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	10922
1	1330	9342
2	5639	9338

Stop Event

1×	node limit

Counts

186 → 208

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	1.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Expression
0.0ms	ky	@	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms	kx	@	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms	th	@	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms	ky	@	(*.f64 (sin.f64 ky) (sin.f64 th))
0.0ms	th	@	(*.f64 (sin.f64 ky) (sin.f64 th))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`associate-/r*`
1280×	`associate-*r/`
1190×	`associate-/l*`
1142×	`associate-*l/`
262×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	248	50
2	3296	50

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (pow.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 ky th)) 2) (/.f64 (cos.f64 (+.f64 ky th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (cbrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (/.f64 1 (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 ky th)) 2)) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (-.f64 ky th))) (*.f64 (cos.f64 (+.f64 ky th)) (cos.f64 (+.f64 ky th)))) 1/2) (+.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 ky th)) 3) (pow.f64 (cos.f64 (+.f64 ky th)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (-.f64 ky th))) (+.f64 (*.f64 (cos.f64 (+.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (sin.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))))

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r*`
1162×	`associate-/r/`
1086×	`distribute-lft-in`
536×	`+-commutative`
490×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	8114
1	1081	7980
2	4176	7980

Stop Event

1×	node limit

Counts

160 → 219

Calls

Call 1

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

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

eval508.0ms (1.7%)

Compiler: Compiled 24002 to 9765 computations (59.3% saved)

prune335.0ms (1.1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	814	23	837
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	815	25	840

Error

Counts

840 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
▶	2.0b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.1b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.7b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	47.0b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	42.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	2.0b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	30.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	46.0b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	28.6b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	48.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	44.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	45.9b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	51.5b	(.f64 (fma.f64 -1/2 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
	0.2b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1) (sin.f64 th))
	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	45.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	44.2b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	46.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	31.3b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
	16.3b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
▶	48.0b	(sin.f64 th)

Compiler

Compiled 632 to 436 computations (31% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Compiler

Compiled 36 to 9 computations (75% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	ky	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
0.0ms	ky	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
0.0ms	ky	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
0.0ms	kx	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
0.0ms	kx	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-*r/`
1478×	`associate-/l*`
1286×	`associate-*l/`
468×	`associate-/r/`
270×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	247	60
2	3260	60

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule 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(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2) 1) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))))

simplify114.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-lft-in`
1288×	`distribute-rgt-in`
584×	`*-commutative`
526×	`associate-r`
496×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	434	10134
1	1261	8938
2	5118	8938

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize8.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 th) ky)
✓	1.9b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	th	@	0	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
1.0ms	kx	@	0	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
1.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
1.0ms	th	@	inf	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
0.0ms	th	@	-inf	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
1122×	`associate-/l*`
994×	`*-commutative`
850×	`associate-*r/`
728×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	32
2	2618	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) ky) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 -1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (sin.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 ky 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 th) ky) (/.f64 -1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) ky)))))))

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1428×	`unswap-sqr`
956×	`distribute-lft-in`
946×	`distribute-rgt-in`
854×	`associate-/r*`
478×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	3100
1	677	2880
2	2729	2822

Stop Event

1×	node limit

Counts

96 → 141

Calls

Call 1

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

Outputs
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 th (/.f64 (sin.f64 kx) ky)))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (.f64 (/.f64 ky (sin.f64 kx)) th))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) (sin.f64 kx)) (/.f64 th (/.f64 (sin.f64 kx) ky))))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))))
(fma.f64 -1/5040 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 7))) (fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) (sin.f64 kx)) (/.f64 th (/.f64 (sin.f64 kx) ky)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (/.f64 (sin.f64 kx) ky)) (fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th))))
(fma.f64 -1/5040 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 7)) (fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (.f64 (/.f64 ky (sin.f64 kx)) th))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (.f64 1/6 (.f64 (*.f64 ky (sin.f64 th)) kx)))
(fma.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th))) (/.f64 ky (/.f64 kx (sin.f64 th))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky))) (pow.f64 kx 3)))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx) (neg.f64 (.f64 (.f64 (*.f64 ky (sin.f64 th)) -7/360) (pow.f64 kx 3)))))
(-.f64 (fma.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th))) (/.f64 ky (/.f64 kx (sin.f64 th)))) (.f64 (.f64 ky (sin.f64 th)) (*.f64 -7/360 (pow.f64 kx 3))))
(+.f64 (.f64 (/.f64 ky kx) (sin.f64 th)) (.f64 (.f64 ky (sin.f64 th)) (-.f64 (.f64 kx 1/6) (*.f64 -7/360 (pow.f64 kx 3)))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) ky)) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) ky)) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky)))))) (pow.f64 kx 5))) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (*.f64 (sin.f64 th) ky))) (pow.f64 kx 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 -1 (.f64 (fma.f64 -1/5040 (.f64 ky (sin.f64 th)) (fma.f64 1/720 (.f64 ky (sin.f64 th)) (.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) -7/360)))) (pow.f64 kx 5)) (fma.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx) (neg.f64 (.f64 (.f64 (*.f64 ky (sin.f64 th)) -7/360) (pow.f64 kx 3))))))
(+.f64 (/.f64 ky (/.f64 kx (sin.f64 th))) (-.f64 (-.f64 (.f64 1/6 (.f64 kx (.f64 ky (sin.f64 th)))) (.f64 (.f64 ky (sin.f64 th)) (.f64 -7/360 (pow.f64 kx 3)))) (.f64 (+.f64 (.f64 (.f64 ky (sin.f64 th)) -7/2160) (.f64 (*.f64 ky (sin.f64 th)) 1/840)) (pow.f64 kx 5))))
(+.f64 (.f64 (/.f64 ky kx) (sin.f64 th)) (-.f64 (.f64 (.f64 ky (sin.f64 th)) (-.f64 (.f64 kx 1/6) (.f64 -7/360 (pow.f64 kx 3)))) (.f64 (.f64 (.f64 ky (sin.f64 th)) -31/15120) (pow.f64 kx 5))))
(*.f64 ky th)
(*.f64 th ky)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) ky)) (*.f64 ky th))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (.f64 th ky))
(.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) ky)) (+.f64 (.f64 ky th) (.f64 1/120 (*.f64 (pow.f64 th 5) ky))))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (fma.f64 ky th (.f64 1/120 (*.f64 ky (pow.f64 th 5)))))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (.f64 ky (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(.f64 ky (+.f64 (.f64 -1/6 (pow.f64 th 3)) (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 th 3) ky)) (+.f64 (.f64 ky th) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 th 7) ky)) (.f64 1/120 (*.f64 (pow.f64 th 5) ky)))))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (fma.f64 ky th (fma.f64 -1/5040 (.f64 ky (pow.f64 th 7)) (.f64 1/120 (.f64 ky (pow.f64 th 5))))))
(fma.f64 -1/6 (.f64 ky (pow.f64 th 3)) (fma.f64 th ky (.f64 ky (+.f64 (.f64 1/120 (pow.f64 th 5)) (.f64 -1/5040 (pow.f64 th 7))))))
(.f64 ky (+.f64 (+.f64 th (.f64 -1/6 (pow.f64 th 3))) (+.f64 (.f64 -1/5040 (pow.f64 th 7)) (.f64 1/120 (pow.f64 th 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) ky) (/.f64 1 (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 1 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 -1 (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (sin.f64 th) 1))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 ky (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 ky 1))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 -1 (sin.f64 kx)) (.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 ky (cbrt.f64 (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (sqrt.f64 ky))
(.f64 (sqrt.f64 ky) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sqrt.f64 ky)))
(.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (sqrt.f64 ky) (sqrt.f64 ky)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))
(.f64 (cbrt.f64 ky) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)))
(.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (pow.f64 (cbrt.f64 ky) 2) (cbrt.f64 ky)))
(.f64 (/.f64 1 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (cbrt.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))) (cbrt.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx))) 1))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (.f64 (.f64 (sin.f64 th) ky) (/.f64 -1 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (.f64 1 (/.f64 (.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) ky))) 1)
(*.f64 ky (sin.f64 th))
(pow.f64 (*.f64 (sin.f64 th) ky) 1)
(*.f64 ky (sin.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 2)
(*.f64 ky (sin.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3)
(*.f64 ky (sin.f64 th))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3)
(*.f64 ky (sin.f64 th))
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 ky (sin.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 2))
(sqrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) 2))
(fabs.f64 (*.f64 ky (sin.f64 th)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) ky))
(*.f64 ky (sin.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky))))
(*.f64 ky (sin.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3))
(*.f64 ky (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 ky 3)))
(*.f64 ky (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (sin.f64 th))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (sin.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 ky (sin.f64 th))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	0.2b	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
✓	2.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))

Compiler

Compiled 32 to 8 computations (75% saved)

series14.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/l*`
1396×	`associate-*r/`
1142×	`*-commutative`
970×	`associate-*l/`
440×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	228	67
2	3033	67

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 th) (*.f64 (sqrt.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 th) (*.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 th) (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (*.f64 -1 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (/.f64 (sqrt.f64 (sin.f64 ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 th (sqrt.f64 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(hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))

simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

962×	`times-frac`
712×	`associate-r`
706×	`associate-/l*`
696×	`associate-/r*`
566×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	476	11901
1	1346	9855
2	6732	9855

Stop Event

1×	node limit

Counts

249 → 243

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(/.f64 1 (sin.f64 th))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))
✓	1.9b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	ky	@	0	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms	th	@	-inf	(/.f64 1 (sin.f64 th))
0.0ms	th	@	inf	(/.f64 1 (sin.f64 th))
0.0ms	kx	@	0	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms	th	@	0	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-/l*`
774×	`associate-/r/`
642×	`associate-/l/`
392×	`distribute-lft-neg-in`
342×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	288	61
2	3810	61

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) 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ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 th) -1/2) (pow.f64 (sin.f64 th) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 th) -1/2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 th) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (sin.f64 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)) (/.f64 1 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)) (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (sin.f64 th))) (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 th))) (cbrt.f64 (/.f64 -1 (sin.f64 th)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 th) -1/2)) (neg.f64 (pow.f64 (sin.f64 th) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (neg.f64 (/.f64 1 (cbrt.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 th)) -1) (pow.f64 (sqrt.f64 (sin.f64 th)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 th)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 th)))) (sqrt.f64 (/.f64 -1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 th))) (cbrt.f64 (/.f64 -1 (sin.f64 th))))) (cbrt.f64 (/.f64 -1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 th) -1/2))) (pow.f64 (sin.f64 th) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 th) -2)))) (/.f64 1 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 th) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 th) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 th)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 th))))))))

simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1622×	`distribute-lft-in`
764×	`associate-r`
682×	`*-commutative`
642×	`associate-l`
514×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	9059
1	1407	8867
2	5668	8867

Stop Event

1×	node limit

Counts

223 → 259

Calls

Call 1

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

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

eval402.0ms (1.3%)

Compiler: Compiled 23231 to 9674 computations (58.4% saved)

prune275.0ms (0.9%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	908	35	943
Fresh	5	13	18
Picked	1	0	1
Done	0	6	6
Total	914	54	968

Error

Counts

968 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	57.4b	(fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) th)
	42.6b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
	54.8b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3) 1/3) (sin.f64 kx))
▶	47.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
▶	42.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	45.4b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	30.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	29.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.1b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.7b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	47.0b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	52.7b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
	42.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	30.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.8b	(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	44.2b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶	46.0b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	45.1b	(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx))))))
	44.4b	(/.f64 (sin.f64 th) (+.f64 1 (/.f64 (.f64 1/2 (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2))))
	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	16.8b	(/.f64 (sin.f64 th) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
	51.5b	(/.f64 (sin.f64 ky) (fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 ky th)) (/.f64 (sin.f64 kx) th)))
	49.8b	(/.f64 (sin.f64 ky) (/.f64 (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)) th))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	28.6b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	55.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	44.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	51.1b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	50.2b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	52.5b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	47.2b	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	52.2b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) ky))) (sin.f64 kx))
	52.3b	(/.f64 th (/.f64 (sin.f64 kx) ky))
	45.9b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.2b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	51.5b	(/.f64 ky (/.f64 kx (sin.f64 th)))
	52.1b	(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (.f64 1/6 (.f64 (*.f64 ky (sin.f64 th)) kx)))
	51.5b	(.f64 (fma.f64 -1/2 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
	0.2b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1) (sin.f64 th))
▶	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	45.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	44.2b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	28.6b	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	46.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	52.3b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
▶	51.6b	(*.f64 (/.f64 ky kx) (sin.f64 th))
	55.0b	(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
✓	48.0b	(sin.f64 th)
	55.9b	(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
	46.8b	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	55.1b	th

Compiler

Compiled 1356 to 919 computations (32.2% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	0.3b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))

Compiler

Compiled 36 to 9 computations (75% saved)

series14.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	th	@	inf	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	kx	@	inf	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
1.0ms	kx	@	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	ky	@	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	th	@	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`associate-*r/`
846×	`associate-*l/`
836×	`associate-/r*`
776×	`swap-sqr`
618×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	241	60
2	3023	60

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) 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(sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/l*`
1162×	`distribute-lft-in`
676×	`times-frac`
602×	`*-commutative`
584×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	12925
1	1485	12833
2	6581	12831

Stop Event

1×	node limit

Counts

221 → 268

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) -1/5040)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (.f64 (-.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3)))))
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(sin.f64 th)
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(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (.f64 kx kx)) (sin.f64 th))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 1 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(/.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
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(/.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (neg.f64 (sin.f64 th)))))
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(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))))
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(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (*.f64 2 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(*.f64 (/.f64 (sin.f64 th) (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))))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sqrt.f64 (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 ky) (*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th)))))
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(/.f64 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 1)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 ky) (*.f64 (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (sqrt.f64 (sin.f64 th)))))
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(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (/.f64 (sin.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 (sin.f64 th)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th)))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 1 (/.f64 (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)
(/.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)))) 3)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (*.f64 (sin.f64 th) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (sin.f64 th) (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))
(fabs.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(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)))
(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)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.2b	(*.f64 (/.f64 ky kx) (sin.f64 th))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	kx	@	inf	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	ky	@	inf	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	th	@	0	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	ky	@	0	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	kx	@	-inf	(*.f64 (/.f64 ky kx) (sin.f64 th))

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`add-sqr-sqrt`
1902×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2335	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 ky (/.f64 kx (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 ky (sin.f64 th)) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 ky) (sin.f64 th)) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) 1) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 kx)) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 ky (sin.f64 th))) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 ky kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))))))))

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-r`
1154×	`associate-l`
750×	`associate-+r+`
706×	`times-frac`
682×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1143
1	213	1143
2	725	1143
3	5352	1115

Stop Event

1×	node limit

Counts

59 → 44

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 kx) ky)
✓	3.5b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series39.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	th	@	0	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
0.0ms	kx	@	0	(/.f64 (sin.f64 kx) ky)
0.0ms	ky	@	-inf	(/.f64 (sin.f64 kx) ky)
0.0ms	kx	@	-inf	(/.f64 (sin.f64 kx) ky)
0.0ms	kx	@	inf	(/.f64 (sin.f64 kx) ky)

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/l*`
1374×	`associate-*r/`
1066×	`*-commutative`
934×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	207	32
2	2801	32

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 ky) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 ky) (*.f64 (pow.f64 (cbrt.f64 ky) 2) (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (sin.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 ky) (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (neg.f64 (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 ky) 2) (/.f64 (sin.f64 th) (sin.f64 kx))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (sqrt.f64 ky) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 1 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 1 ky)) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 kx))) (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) ky) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sin.f64 kx)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 ky (sin.f64 kx))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) -1) (neg.f64 (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) ky))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1) (/.f64 ky 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sqrt.f64 ky))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 th)) -1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) 1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (neg.f64 (sin.f64 kx))) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) 1)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) 1) -1) (neg.f64 (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) 1) (sqrt.f64 (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) 1) (cbrt.f64 (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (sin.f64 kx))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (cbrt.f64 (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 kx) (/.f64 1 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 kx) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (cbrt.f64 (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 ky) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (/.f64 1 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) ky) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) ky) (/.f64 (sqrt.f64 (sin.f64 kx)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) ky) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 kx) 1) (/.f64 1 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (/.f64 1 (sqrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 ky)) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) ky) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 ky (sin.f64 kx)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) ky)))))))

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1564×	`unswap-sqr`
910×	`distribute-rgt-in`
898×	`distribute-lft-in`
498×	`distribute-lft-neg-in`
468×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	4288
1	1006	4198
2	3770	4146

Stop Event

1×	node limit

Counts

180 → 197

Calls

Call 1

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

Outputs
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 ky (/.f64 (sin.f64 kx) th)))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (.f64 (/.f64 ky (sin.f64 kx)) th))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 5))) (/.f64 ky (/.f64 (sin.f64 kx) th))))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))))
(fma.f64 -1/5040 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 7))) (fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 5))) (/.f64 ky (/.f64 (sin.f64 kx) th)))))
(fma.f64 -1/5040 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 7)) (fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (.f64 (/.f64 ky (sin.f64 kx)) th))))
(fma.f64 -1/5040 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 7))) (fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(+.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx)))
(fma.f64 1/6 (.f64 ky (.f64 (sin.f64 th) kx)) (*.f64 (/.f64 (sin.f64 th) kx) ky))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky))) (pow.f64 kx 3)))))
(+.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (fma.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx) (neg.f64 (.f64 (.f64 (.f64 ky (sin.f64 th)) -7/360) (pow.f64 kx 3)))))
(-.f64 (fma.f64 1/6 (.f64 ky (.f64 (sin.f64 th) kx)) (.f64 (/.f64 (sin.f64 th) kx) ky)) (.f64 (.f64 (pow.f64 kx 3) (.f64 ky (sin.f64 th))) -7/360))
(+.f64 (.f64 (/.f64 (sin.f64 th) kx) ky) (.f64 (.f64 ky (sin.f64 th)) (-.f64 (.f64 kx 1/6) (*.f64 -7/360 (pow.f64 kx 3)))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) ky)) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) ky)) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky)))))) (pow.f64 kx 5))) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (*.f64 (sin.f64 th) ky))) (pow.f64 kx 3))))))
(+.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (fma.f64 -1 (.f64 (fma.f64 -1/5040 (.f64 ky (sin.f64 th)) (fma.f64 1/720 (.f64 ky (sin.f64 th)) (.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) -7/360)))) (pow.f64 kx 5)) (fma.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx) (neg.f64 (.f64 (.f64 (.f64 ky (sin.f64 th)) -7/360) (pow.f64 kx 3))))))
(+.f64 (.f64 (/.f64 (sin.f64 th) kx) ky) (-.f64 (-.f64 (.f64 (sin.f64 th) (.f64 (.f64 ky kx) 1/6)) (.f64 (.f64 (pow.f64 kx 3) (.f64 ky (sin.f64 th))) -7/360)) (.f64 (+.f64 (.f64 (.f64 ky (sin.f64 th)) -7/2160) (.f64 (.f64 ky (sin.f64 th)) 1/840)) (pow.f64 kx 5))))
(+.f64 (.f64 (/.f64 (sin.f64 th) kx) ky) (-.f64 (.f64 (.f64 ky (sin.f64 th)) (-.f64 (.f64 kx 1/6) (.f64 -7/360 (pow.f64 kx 3)))) (.f64 (.f64 (.f64 ky (sin.f64 th)) -31/15120) (pow.f64 kx 5))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 kx ky)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (/.f64 kx ky))
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(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 ky))))
(.f64 (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (neg.f64 (sin.f64 kx))))) (sqrt.f64 (neg.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) 1) (cbrt.f64 (/.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (/.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (sin.f64 kx))) (cbrt.f64 ky))
(.f64 (cbrt.f64 ky) (/.f64 (sin.f64 th) (.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))))
(.f64 (cbrt.f64 ky) (/.f64 (sin.f64 th) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (/.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (cbrt.f64 (neg.f64 ky)))
(.f64 (/.f64 (sin.f64 th) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (neg.f64 (sin.f64 kx))))) (cbrt.f64 (neg.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (neg.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) 2))
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(fabs.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 ky (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky))) 1)
(/.f64 (sin.f64 kx) ky)
(*.f64 (sin.f64 kx) (/.f64 1 ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sin.f64 kx) ky) 1)
(/.f64 (sin.f64 kx) ky)
(*.f64 1 (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))
(/.f64 (sin.f64 kx) ky)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (cbrt.f64 (sin.f64 kx)) ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 1 ky) (sin.f64 kx))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (/.f64 1 ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) ky) (sqrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) ky) (/.f64 (sqrt.f64 (sin.f64 kx)) 1))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) ky) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sin.f64 kx) 1) (/.f64 1 ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (/.f64 1 (sqrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (/.f64 1 (sqrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 ky) 2))
(*.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 ky) 2))
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky))))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky))))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 1 (neg.f64 ky)) (neg.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 ky) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 ky) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) ky))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (/.f64 1 (sqrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (/.f64 1 (sqrt.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) ky) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (/.f64 1 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))
(/.f64 (sin.f64 kx) ky)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) ky))))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(pow.f64 (/.f64 (sin.f64 kx) ky) 1)
(/.f64 (sin.f64 kx) ky)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) ky)) 2)
(/.f64 (sin.f64 kx) ky)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) ky)) 3)
(/.f64 (sin.f64 kx) ky)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3) 1/3)
(/.f64 (sin.f64 kx) ky)
(pow.f64 (/.f64 ky (sin.f64 kx)) -1)
(/.f64 (sin.f64 kx) ky)
(neg.f64 (neg.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2))
(fabs.f64 (/.f64 (sin.f64 kx) ky))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) ky))))
(/.f64 (sin.f64 kx) ky)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 3))
(/.f64 (sin.f64 kx) ky)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 3)))
(/.f64 (sin.f64 kx) ky)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 kx) ky)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sin.f64 th))
	0.3b	(/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))
✓	7.8b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))

Compiler

Compiled 31 to 15 computations (51.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	th	@	0	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
0.0ms	ky	@	0	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
0.0ms	ky	@	inf	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
0.0ms	th	@	inf	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
0.0ms	ky	@	-inf	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-/l*`
1110×	`*-commutative`
682×	`associate-/r/`
662×	`swap-sqr`
566×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	228	25
2	3072	25

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (sin.f64 ky))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))) (/.f64 1 (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 th))) (/.f64 1 (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 ky))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 ky))) (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 ky)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) 1) (sin.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 ky))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (sin.f64 ky)) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) 1) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) -1) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) 1) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (sin.f64 th))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (pow.f64 (sin.f64 th) -1/2)) (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (*.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) -1) (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 -1 (sin.f64 th))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (sin.f64 ky)))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 th)))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (pow.f64 (sin.f64 th) -1/2)) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 ky) (sin.f64 ky))) 1) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 ky) (sin.f64 ky))) -1) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (neg.f64 (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sin.f64 ky)) (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))))

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1862×	`associate-+l-`
776×	`associate--r+`
640×	`*-commutative`
610×	`unswap-sqr`
458×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	1454
1	610	1286
2	2104	1286
3	5898	1286

Stop Event

1×	node limit

Counts

102 → 95

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 th) ky)
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3)
✓	1.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
✓	8.2b	(cbrt.f64 (*.f64 (sin.f64 th) ky))

Compiler

Compiled 37 to 13 computations (64.9% saved)

series15.0ms (0%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	ky	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3) (sin.f64 kx))
1.0ms	th	@	inf	(cbrt.f64 (*.f64 (sin.f64 th) ky))
1.0ms	th	@	-inf	(cbrt.f64 (*.f64 (sin.f64 th) ky))
1.0ms	ky	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3)
1.0ms	th	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 3)

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/r*`
1288×	`associate-/l*`
804×	`swap-sqr`
702×	`associate-*r/`
540×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	267	47
2	3141	47

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) (pow.f64 (*.f64 (sin.f64 th) ky) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 ky) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) ky) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) ky)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) ky) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (/.f64 1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 -1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky 1) (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 th) ky) (/.f64 -1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (neg.f64 (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (neg.f64 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) (*.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 ky) (*.f64 (sqrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 th)) (*.f64 (cbrt.f64 ky) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 ky) 2) (*.f64 (cbrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))) (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (sqrt.f64 ky)) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 ky (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 ky (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (*.f64 (sin.f64 th) ky) 1/6)) (pow.f64 (*.f64 (sin.f64 th) ky) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (cbrt.f64 (sin.f64 th))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 ky) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2) 3) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))) (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))) (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))))) (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sin.f64 th))) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 ky)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)))) (sqrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 th)) 3/2)) (*.f64 (pow.f64 (cbrt.f64 ky) 3/2) (pow.f64 (cbrt.f64 ky) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) ky)))))))

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/l/`
1004×	`associate-/r/`
860×	`associate-r`
786×	`associate-l`
636×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	3996
1	842	3888
2	4128	3836

Stop Event

1×	node limit

Counts

188 → 178

Calls

Call 1

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

Outputs
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(pow.f64 (*.f64 (sin.f64 th) ky) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) ky))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 th (/.f64 (sin.f64 kx) ky)))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (.f64 (/.f64 ky (sin.f64 kx)) th))
(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 5))) (/.f64 th (/.f64 (sin.f64 kx) ky))))
(fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 ky (pow.f64 th 7)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) (sin.f64 kx))) (/.f64 (*.f64 ky th) (sin.f64 kx)))))
(fma.f64 -1/5040 (/.f64 (*.f64 ky (pow.f64 th 7)) (sin.f64 kx)) (fma.f64 -1/6 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 1/120 (/.f64 ky (/.f64 (sin.f64 kx) (pow.f64 th 5))) (/.f64 th (/.f64 (sin.f64 kx) ky)))))
(fma.f64 -1/5040 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 7)) (fma.f64 -1/6 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (.f64 (/.f64 ky (sin.f64 kx)) (pow.f64 th 5)) (.f64 (/.f64 ky (sin.f64 kx)) th))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 ky kx))))
(fma.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx)) (/.f64 (sin.f64 th) (/.f64 kx ky)))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky))) (pow.f64 kx 3)))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx)) (neg.f64 (.f64 (.f64 (*.f64 (sin.f64 th) ky) -7/360) (pow.f64 kx 3)))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx)) (/.f64 (sin.f64 th) (/.f64 kx ky))) (.f64 (.f64 (sin.f64 th) ky) (*.f64 -7/360 (pow.f64 kx 3))))
(+.f64 (.f64 (/.f64 ky kx) (sin.f64 th)) (.f64 (.f64 (sin.f64 th) ky) (-.f64 (.f64 kx 1/6) (*.f64 -7/360 (pow.f64 kx 3)))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) ky)) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) ky)) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (.f64 (sin.f64 th) ky)))))) (pow.f64 kx 5))) (+.f64 (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 th) ky)) (.f64 -1/36 (*.f64 (sin.f64 th) ky))) (pow.f64 kx 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 -1 (.f64 (fma.f64 -1/5040 (.f64 (sin.f64 th) ky) (fma.f64 1/720 (.f64 (sin.f64 th) ky) (.f64 1/6 (.f64 (.f64 (sin.f64 th) ky) -7/360)))) (pow.f64 kx 5)) (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx)) (neg.f64 (.f64 (.f64 (*.f64 (sin.f64 th) ky) -7/360) (pow.f64 kx 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (-.f64 (-.f64 (.f64 (sin.f64 th) (.f64 (.f64 ky kx) 1/6)) (.f64 (.f64 (sin.f64 th) ky) (.f64 -7/360 (pow.f64 kx 3)))) (.f64 (+.f64 (.f64 (.f64 (sin.f64 th) ky) -7/2160) (.f64 (*.f64 (sin.f64 th) ky) 1/840)) (pow.f64 kx 5))))
(+.f64 (.f64 (/.f64 ky kx) (sin.f64 th)) (-.f64 (.f64 (.f64 (sin.f64 th) ky) (-.f64 (.f64 kx 1/6) (.f64 -7/360 (pow.f64 kx 3)))) (.f64 (.f64 (.f64 (sin.f64 th) ky) -31/15120) (pow.f64 kx 5))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
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(.f64 (sqrt.f64 ky) (.f64 (sqrt.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 th) ky)
(.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)))))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))
(*.f64 (sin.f64 th) ky)
(.f64 (cbrt.f64 (sin.f64 th)) (.f64 (cbrt.f64 ky) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (.f64 (cbrt.f64 (sin.f64 th)) ky))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (cbrt.f64 ky) 2) (.f64 (cbrt.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)))))
(*.f64 (sin.f64 th) ky)
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (neg.f64 ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (neg.f64 ky))) (cbrt.f64 (.f64 (sin.f64 th) (neg.f64 ky)))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (sin.f64 th) (sqrt.f64 ky)) (sqrt.f64 ky))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (sin.f64 th) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 ky (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 ky (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (pow.f64 (.f64 (sin.f64 th) ky) 1/6)) (pow.f64 (*.f64 (sin.f64 th) ky) 1/6))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (cbrt.f64 (sin.f64 th))) (cbrt.f64 ky))
(.f64 (.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 ky)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 ky)))
(*.f64 (neg.f64 (sin.f64 th)) (neg.f64 ky))
(*.f64 (sin.f64 th) ky)
(*.f64 (neg.f64 ky) (neg.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)))
(*.f64 (sin.f64 th) ky)
(.f64 -1 (.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 th) ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 th) ky) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 1/6) 3))
(*.f64 (sin.f64 th) ky)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 2) 3) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 th) (neg.f64 ky)))) (sqrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (neg.f64 ky))) (cbrt.f64 (.f64 (sin.f64 th) (neg.f64 ky))))) (cbrt.f64 (*.f64 (sin.f64 th) (neg.f64 ky))))
(*.f64 (sin.f64 th) ky)
(*.f64 (neg.f64 (neg.f64 (sin.f64 th))) ky)
(*.f64 (sin.f64 th) ky)
(*.f64 (neg.f64 (neg.f64 ky)) (sin.f64 th))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)))) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 2) 3/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 th) ky))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky))) 3/2)))
(*.f64 (sin.f64 th) ky)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 th)) 3/2)) (*.f64 (pow.f64 (cbrt.f64 ky) 3/2) (pow.f64 (cbrt.f64 ky) 3/2)))
(*.f64 (sin.f64 th) ky)
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 (sin.f64 th) ky)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 2))
(fabs.f64 (*.f64 (sin.f64 th) ky))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) ky))
(*.f64 (sin.f64 th) ky)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 th) ky)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) 3))
(*.f64 (sin.f64 th) ky)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 ky 3)))
(*.f64 (sin.f64 th) ky)
(cbrt.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 th) 3)))
(*.f64 (sin.f64 th) ky)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(exp.f64 (log.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) ky)) 1))
(*.f64 (sin.f64 th) ky)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)

eval334.0ms (1.1%)

Compiler: Compiled 19962 to 7720 computations (61.3% saved)

prune646.0ms (2.1%)

Pruning

74 alts after pruning (65 fresh and 9 done)

	Pruned	Kept	Total
New	971	34	1005
Fresh	12	31	43
Picked	1	0	1
Done	1	9	10
Total	985	74	1059

Error

Counts

1059 → 74

Alt Table

Click to see full alt table

Status	Error	Program
	55.4b	(pow.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 3) 1/3)
	42.6b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
	51.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))) 3)
	42.4b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (sin.f64 ky))
✓	42.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	45.4b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	30.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (sin.f64 ky))
	29.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.1b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (sin.f64 ky))
	2.1b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	42.4b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	32.7b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	50.6b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 ky))
✓	47.0b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	52.7b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
	30.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.5b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	55.2b	(/.f64 (*.f64 th ky) kx)
	53.8b	(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	44.2b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	45.1b	(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx))))))
	56.7b	(/.f64 (sin.f64 th) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))))
	55.3b	(/.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky)))
	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	16.8b	(/.f64 (sin.f64 th) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	28.6b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	55.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	44.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
▶	51.1b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	50.2b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	52.5b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	42.4b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky))
▶	47.2b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
	45.8b	(/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) -2)))
	52.3b	(/.f64 th (/.f64 (sin.f64 kx) ky))
	54.1b	(/.f64 th (/.f64 kx ky))
	45.9b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.2b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	51.5b	(/.f64 ky (/.f64 kx (sin.f64 th)))
	52.7b	(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
	55.7b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)))) 1)
	53.2b	(+.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (.f64 1/6 (.f64 (.f64 ky (sin.f64 th)) kx)))
	55.6b	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	55.7b	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
▶	0.2b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1) (sin.f64 th))
	48.0b	(*.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
✓	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	48.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	44.2b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	45.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	51.5b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
▶	28.6b	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	46.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	52.3b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	54.6b	(.f64 (/.f64 ky kx) (+.f64 (.f64 -1/6 (pow.f64 th 3)) th))
✓	51.6b	(*.f64 (/.f64 ky kx) (sin.f64 th))
▶	54.1b	(*.f64 (/.f64 ky kx) th)
	42.4b	(.f64 (/.f64 1 (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	55.0b	(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	53.8b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 2))
✓	48.0b	(sin.f64 th)
	48.0b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	48.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	47.7b	(fabs.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
	46.9b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
	46.8b	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	54.2b	(exp.f64 (log.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))))
	54.6b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)) 3))
	55.1b	th

Compiler

Compiled 1770 to 1211 computations (31.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
	0.1b	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	0.1b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)
✓	0.2b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1) (sin.f64 th))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	ky	@	0	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)
1.0ms	ky	@	inf	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)
1.0ms	ky	@	-inf	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)
1.0ms	kx	@	-inf	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)
1.0ms	kx	@	inf	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)

rewrite101.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`associate-*r/`
850×	`associate-/r*`
824×	`swap-sqr`
782×	`associate-*l/`
562×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	284	60
2	3426	60

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change 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simplify162.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-/l*`
698×	`*-commutative`
696×	`associate-r`
676×	`associate-/r*`
672×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	701	14949
1	1834	14819
2	7486	14819

Stop Event

1×	node limit

Counts

277 → 337

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 (/.f64 ky kx) th)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	ky	@	-inf	(*.f64 (/.f64 ky kx) th)
1.0ms	th	@	inf	(*.f64 (/.f64 ky kx) th)
0.0ms	ky	@	0	(*.f64 (/.f64 ky kx) th)
0.0ms	kx	@	0	(*.f64 (/.f64 ky kx) th)
0.0ms	th	@	0	(*.f64 (/.f64 ky kx) th)

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1446×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1914	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 ky kx) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 ky (/.f64 kx th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 th (/.f64 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 kx (*.f64 ky th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 ky th) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (neg.f64 ky)) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 ky) th) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky th) 1) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky th) (sqrt.f64 kx)) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky th) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 ky th)) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 ky kx) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 ky kx) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 th) (/.f64 ky kx)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 ky kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 ky kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 ky kx) th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 ky kx) th)))))))

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1670×	`distribute-rgt-in`
1658×	`distribute-lft-in`
992×	`associate-r`
926×	`associate-l`
610×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	754
1	143	754
2	575	754
3	3916	754

Stop Event

1×	node limit

Counts

58 → 25

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 kx) th)
✓	2.8b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series8.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
1.0ms	kx	@	0	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
0.0ms	kx	@	0	(/.f64 (sin.f64 kx) th)
0.0ms	kx	@	inf	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
0.0ms	th	@	inf	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/l*`
1374×	`associate-*r/`
1066×	`*-commutative`
934×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	207	32
2	2801	32

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 th) (*.f64 (sqrt.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 th (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 th) (*.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) th) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))) (cbrt.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 th (sin.f64 kx)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))))))

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1564×	`unswap-sqr`
906×	`distribute-rgt-in`
894×	`distribute-lft-in`
504×	`distribute-lft-neg-in`
470×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4274
1	1016	4198
2	3804	4166

Stop Event

1×	node limit

Counts

180 → 201

Calls

Call 1

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

Outputs
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(+.f64 (.f64 -1/6 (/.f64 (.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (/.f64 ky (/.f64 (sin.f64 kx) th)))
(fma.f64 -1/6 (.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (.f64 (/.f64 ky (sin.f64 kx)) th))
(+.f64 (.f64 -1/6 (/.f64 (.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (fma.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx)) (/.f64 ky (/.f64 (sin.f64 kx) th))))
(fma.f64 -1/6 (.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (fma.f64 1/120 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (.f64 (/.f64 ky (sin.f64 kx)) th)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 th (pow.f64 ky 7)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (fma.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx)) (fma.f64 -1/5040 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 7))) (/.f64 ky (/.f64 (sin.f64 kx) th)))))
(fma.f64 -1/6 (.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (fma.f64 1/120 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (fma.f64 -1/5040 (/.f64 (.f64 th (pow.f64 ky 7)) (sin.f64 kx)) (*.f64 (/.f64 ky (sin.f64 kx)) th))))
(fma.f64 -1/6 (.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (fma.f64 1/120 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (fma.f64 -1/5040 (.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 7)) (*.f64 (/.f64 ky (sin.f64 kx)) th))))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(/.f64 (sin.f64 ky) (/.f64 kx th))
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(+.f64 (.f64 1/6 (.f64 (sin.f64 ky) (.f64 th kx))) (/.f64 (.f64 (sin.f64 ky) th) kx))
(fma.f64 1/6 (.f64 (.f64 th (sin.f64 ky)) kx) (/.f64 (sin.f64 ky) (/.f64 kx th)))
(fma.f64 1/6 (.f64 th (.f64 (sin.f64 ky) kx)) (*.f64 (/.f64 (sin.f64 ky) kx) th))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (.f64 (*.f64 (sin.f64 ky) 1/6) kx)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 ky) th)) (.f64 -1/36 (.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (.f64 1/6 (.f64 (sin.f64 ky) (.f64 th kx))) (/.f64 (.f64 (sin.f64 ky) th) kx)))
(fma.f64 -1 (.f64 (.f64 (.f64 th (sin.f64 ky)) -7/360) (pow.f64 kx 3)) (fma.f64 1/6 (.f64 (*.f64 th (sin.f64 ky)) kx) (/.f64 (sin.f64 ky) (/.f64 kx th))))
(-.f64 (fma.f64 1/6 (.f64 th (.f64 (sin.f64 ky) kx)) (.f64 (/.f64 (sin.f64 ky) kx) th)) (.f64 (.f64 th (sin.f64 ky)) (.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (.f64 (.f64 th (sin.f64 ky)) 7/360) (pow.f64 kx 3) (.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (.f64 (*.f64 (sin.f64 ky) 1/6) kx))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 ky) th)) (.f64 -1/36 (.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (.f64 1/6 (.f64 (sin.f64 ky) (.f64 th kx))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 (.f64 (sin.f64 ky) th)) (.f64 -1/36 (.f64 (sin.f64 ky) th)))) (+.f64 (.f64 1/720 (.f64 (sin.f64 ky) th)) (.f64 -1/5040 (.f64 (sin.f64 ky) th)))) (pow.f64 kx 5))) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(fma.f64 -1 (.f64 (.f64 (.f64 th (sin.f64 ky)) -7/360) (pow.f64 kx 3)) (fma.f64 1/6 (.f64 (.f64 th (sin.f64 ky)) kx) (fma.f64 -1 (.f64 (fma.f64 1/6 (.f64 (.f64 th (sin.f64 ky)) -7/360) (.f64 (.f64 th (sin.f64 ky)) 1/840)) (pow.f64 kx 5)) (/.f64 (sin.f64 ky) (/.f64 kx th)))))
(-.f64 (fma.f64 1/6 (.f64 th (.f64 (sin.f64 ky) kx)) (fma.f64 (neg.f64 (fma.f64 (.f64 th (sin.f64 ky)) 1/840 (.f64 (.f64 th (sin.f64 ky)) -7/2160))) (pow.f64 kx 5) (.f64 (/.f64 (sin.f64 ky) kx) th))) (.f64 (.f64 th (sin.f64 ky)) (*.f64 -7/360 (pow.f64 kx 3))))
(-.f64 (fma.f64 (.f64 (.f64 th (sin.f64 ky)) 7/360) (pow.f64 kx 3) (.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (.f64 (.f64 (sin.f64 ky) 1/6) kx)))) (.f64 (.f64 (.f64 th (sin.f64 ky)) -31/15120) (pow.f64 kx 5)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 kx th)
(+.f64 (/.f64 kx th) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) th)))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) th) (/.f64 kx th))
(+.f64 (/.f64 kx th) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) th)) (.f64 1/120 (/.f64 (pow.f64 kx 5) th))))
(+.f64 (/.f64 kx th) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) th) (/.f64 (*.f64 1/120 (pow.f64 kx 5)) th)))
(+.f64 (/.f64 kx th) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) th) (*.f64 1/120 (/.f64 (pow.f64 kx 5) th))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) th) (/.f64 kx th)) (*.f64 1/120 (/.f64 (pow.f64 kx 5) th)))
(+.f64 (/.f64 kx th) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 kx 7) th)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) th)) (*.f64 1/120 (/.f64 (pow.f64 kx 5) th)))))
(+.f64 (/.f64 kx th) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) th) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) th) (/.f64 (*.f64 1/120 (pow.f64 kx 5)) th))))
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(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)) (neg.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) 1) (/.f64 th (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (sqrt.f64 (sin.f64 kx))) (/.f64 th (sqrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 th (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (sin.f64 kx))) (neg.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) 1)) th)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) (sqrt.f64 th))) (sqrt.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 th) 2))) (cbrt.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) -1) (neg.f64 (/.f64 th (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) th))) 1) (sqrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) th))) (sqrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) th))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 th)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (neg.f64 th)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (neg.f64 (sin.f64 kx))))) (sqrt.f64 (neg.f64 th)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) 1) (cbrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (sin.f64 kx))) (cbrt.f64 th))
(.f64 (cbrt.f64 th) (/.f64 (sin.f64 ky) (.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))))
(.f64 (cbrt.f64 th) (/.f64 (sin.f64 ky) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (/.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 th)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (cbrt.f64 (neg.f64 th)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (cbrt.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))) (cbrt.f64 (neg.f64 th)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (cbrt.f64 (neg.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (neg.f64 (sin.f64 kx))))) (cbrt.f64 (neg.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 1)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 2)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 3)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 3) 1/3)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) -1)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th)) 2))
(fabs.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 th (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 3))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) th))) 1)
(/.f64 (sin.f64 kx) th)
(*.f64 (sin.f64 kx) (/.f64 1 th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sin.f64 kx) th) 1)
(/.f64 (sin.f64 kx) th)
(*.f64 1 (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))
(/.f64 (sin.f64 kx) th)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (cbrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 th) (sin.f64 kx))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (/.f64 1 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) th) (sqrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) th) (/.f64 (sqrt.f64 (sin.f64 kx)) 1))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sin.f64 kx) 1) (/.f64 1 th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 kx) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (/.f64 1 (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 (neg.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) th))
(/.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 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) th) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(pow.f64 (/.f64 (sin.f64 kx) th) 1)
(/.f64 (sin.f64 kx) th)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) 2)
(/.f64 (sin.f64 kx) th)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 3)
(/.f64 (sin.f64 kx) th)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)
(/.f64 (sin.f64 kx) th)
(pow.f64 (/.f64 th (sin.f64 kx)) -1)
(/.f64 (sin.f64 kx) th)
(neg.f64 (neg.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))
(fabs.f64 (/.f64 (sin.f64 kx) th))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))
(/.f64 (sin.f64 kx) th)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 th 3)))
(/.f64 (sin.f64 kx) th)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 th) ky)
✓	1.9b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	kx	@	0	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
0.0ms	ky	@	-inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
0.0ms	th	@	0	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
0.0ms	kx	@	-inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
0.0ms	kx	@	inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
922×	`associate-/r*`
864×	`associate-/l*`
700×	`unswap-sqr`
604×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	223	21
2	2894	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) ky) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (sin.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (/.f64 (cbrt.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (/.f64 (cbrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1/2) (pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 th) ky) (/.f64 -1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))))

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-*r/`
1078×	`associate-+r-`
898×	`associate-/l*`
868×	`associate-*l/`
602×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2330
1	466	2156
2	1614	2086
3	7516	2086

Stop Event

1×	node limit

Counts

68 → 86

Calls

Call 1

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

Outputs
(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx))
(fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) kx))
(fma.f64 (.f64 (sin.f64 th) ky) (.f64 kx 1/6) (/.f64 (*.f64 (sin.f64 th) ky) kx))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (fabs.f64 (.f64 (sin.f64 th) ky))) (.f64 1/120 (fabs.f64 (.f64 (sin.f64 th) ky)))) (pow.f64 kx 3))) (+.f64 (.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)))
(fma.f64 -1 (.f64 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) -7/360) (pow.f64 kx 3)) (fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)))
(-.f64 (fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) (.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (.f64 (sin.f64 th) ky) (.f64 kx 1/6) (fma.f64 (pow.f64 kx 3) (.f64 (.f64 (sin.f64 th) ky) 7/360) (/.f64 (*.f64 (sin.f64 th) ky) kx)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (fabs.f64 (.f64 (sin.f64 th) ky))) (.f64 1/120 (fabs.f64 (.f64 (sin.f64 th) ky)))) (pow.f64 kx 3))) (+.f64 (.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (+.f64 (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (fabs.f64 (.f64 (sin.f64 th) ky))) (.f64 1/120 (fabs.f64 (.f64 (sin.f64 th) ky))))) (+.f64 (.f64 -1/5040 (fabs.f64 (.f64 (sin.f64 th) ky))) (.f64 1/720 (fabs.f64 (*.f64 (sin.f64 th) ky))))) (pow.f64 kx 5))))))
(fma.f64 -1 (.f64 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) -7/360) (pow.f64 kx 3)) (+.f64 (fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (neg.f64 (.f64 (fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) -7/360) (.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) 1/840)) (pow.f64 kx 5)))))
(-.f64 (-.f64 (fma.f64 1/6 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) kx)) (.f64 (fma.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) 1/840 (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) -7/2160)) (pow.f64 kx 5))) (.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) (.f64 -7/360 (pow.f64 kx 3))))
(-.f64 (fma.f64 (.f64 (sin.f64 th) ky) (.f64 kx 1/6) (fma.f64 (pow.f64 kx 3) (.f64 (.f64 (sin.f64 th) ky) 7/360) (/.f64 (.f64 (sin.f64 th) ky) kx))) (.f64 (.f64 (.f64 (sin.f64 th) ky) -31/15120) (pow.f64 kx 5)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) 1)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) ky) (/.f64 1 (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 1 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 -1 (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) 1))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) 1))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (sin.f64 th) 1))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (/.f64 (cbrt.f64 (sin.f64 kx)) ky)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (cbrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 -1 (sin.f64 kx)) (.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 th) ky)) (cbrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) 2))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 ky (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (sin.f64 kx)) ky)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 ky (cbrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 ky (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))) (/.f64 ky (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (/.f64 1 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) ky)) 2))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th))) ky)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3/2))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/6))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(*.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1/2) (pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1/2))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 1)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 2)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) 3)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3) 1/3)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) -1)
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(neg.f64 (*.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky)) 1))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(neg.f64 (.f64 (.f64 (sin.f64 th) ky) (/.f64 -1 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 kx)) ky))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 2))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) 3))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	0.2b	(/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	2.4b	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))

Compiler

Compiled 32 to 8 computations (75% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	kx	@	0	(/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
1.0ms	ky	@	0	(/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
1.0ms	ky	@	inf	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
1.0ms	kx	@	-inf	(/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
0.0ms	kx	@	inf	(/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`*-commutative`
904×	`associate-*r/`
824×	`associate-/r*`
784×	`unswap-sqr`
650×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	222	52
2	2792	52

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 th) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sqrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sqrt.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 th) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (pow.f64 (cbrt.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (cbrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (cbrt.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 th) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (*.f64 th (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) (cbrt.f64 (*.f64 th (sin.f64 ky)))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (cbrt.f64 (*.f64 th (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sqrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 1 th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 th (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 th (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 th (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (sin.f64 ky))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (cbrt.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (/.f64 th 1)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) -1) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 th (/.f64 1 (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 th (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 th (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (sin.f64 ky)))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (*.f64 th (sin.f64 ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2) (cbrt.f64 (*.f64 th (sin.f64 ky)))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 th (sin.f64 ky)) (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 th (sin.f64 ky)) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 th (sin.f64 ky)) -1) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))) 1) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 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th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 th) 1) (/.f64 (sqrt.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sqrt.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 th) 2) 1) (/.f64 (cbrt.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 th) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (pow.f64 (cbrt.f64 th) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 th) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 th) 2) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (pow.f64 (cbrt.f64 th) 2))) (cbrt.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (*.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 th (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 th (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 th (/.f64 -1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 th (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))

simplify217.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
1102×	`associate-/l*`
638×	`associate-/l/`
612×	`times-frac`
544×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	11753
1	1457	11567
2	6312	11567

Stop Event

1×	node limit

Counts

231 → 252

Calls

Call 1

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

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

eval574.0ms (1.9%)

Compiler: Compiled 26778 to 10560 computations (60.6% saved)

prune339.0ms (1.1%)

Pruning

89 alts after pruning (77 fresh and 12 done)

	Pruned	Kept	Total
New	1063	30	1093
Fresh	13	47	60
Picked	0	1	1
Done	2	11	13
Total	1078	89	1167

Error

Counts

1167 → 89

Alt Table

Click to see full alt table

Status	Error	Program
	56.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3) 1/3)
	51.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))) 3)
	42.4b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (sin.f64 ky))
✓	42.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	45.4b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	30.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (sin.f64 ky))
	29.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.1b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (sin.f64 ky))
	2.1b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	42.4b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	32.7b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	50.6b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 ky))
✓	47.0b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	52.7b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
	30.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.5b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	55.2b	(/.f64 (*.f64 th ky) kx)
	53.8b	(/.f64 (.f64 ky (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) (sin.f64 kx))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	44.2b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	45.1b	(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (.f64 1/6 (sin.f64 kx))))))
	56.7b	(/.f64 (sin.f64 th) (+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))))
	55.3b	(/.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky)))
	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	16.8b	(/.f64 (sin.f64 th) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	55.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	44.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
✓	51.1b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	53.9b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	50.2b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	52.5b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	57.4b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 kx th) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) th))))
	51.1b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 th) (sin.f64 kx)))
	52.1b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) th)))
	58.4b	(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) th))))
	42.4b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky))
✓	47.2b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx))
	52.8b	(/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) kx)
	54.1b	(/.f64 (fabs.f64 (*.f64 th ky)) (sin.f64 kx))
	45.8b	(/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) -2)))
	28.5b	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	54.1b	(/.f64 th (/.f64 kx ky))
	45.9b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.2b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	54.1b	(/.f64 ky (/.f64 kx th))
	30.2b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky))))
	0.3b	(/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
	55.2b	(/.f64 1 (/.f64 kx (*.f64 ky th)))
	55.7b	(-.f64 (+.f64 1 (*.f64 (/.f64 ky kx) th)) 1)
	55.7b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 ky kx) (sin.f64 th)))) 1)
	55.6b	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	55.7b	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	48.0b	(*.f64 (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
✓	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	48.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	44.2b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	45.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	51.5b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	52.2b	(*.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (/.f64 1 (sin.f64 kx)))
	51.1b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	53.8b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
✓	28.6b	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	55.3b	(*.f64 (/.f64 th (sin.f64 ky)) (sin.f64 ky))
	51.1b	(*.f64 (/.f64 th (sin.f64 kx)) (sin.f64 ky))
	52.3b	(*.f64 (/.f64 th (sin.f64 kx)) ky)
	46.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	52.3b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	54.6b	(.f64 (/.f64 ky kx) (+.f64 (.f64 -1/6 (pow.f64 th 3)) th))
✓	51.6b	(*.f64 (/.f64 ky kx) (sin.f64 th))
✓	54.1b	(*.f64 (/.f64 ky kx) th)
	0.2b	(*.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	42.4b	(.f64 (/.f64 1 (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	52.2b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) th))
	57.4b	(.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (.f64 (*.f64 (sin.f64 ky) 1/6) kx)))
	54.1b	(*.f64 ky (/.f64 th kx))
	55.1b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 2))
✓	48.0b	(sin.f64 th)
	48.0b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	56.1b	(log.f64 (pow.f64 (exp.f64 th) (/.f64 ky kx)))
	48.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	47.7b	(fabs.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
	51.3b	(fabs.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))))
	55.6b	(exp.f64 (log.f64 (*.f64 (/.f64 ky kx) th)))
	54.4b	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
	55.8b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3))
	55.1b	th

Compiler

Compiled 1095 to 754 computations (31.1% saved)

regimes568.0ms (1.9%)

Counts

126 → 1

Calls

Call 1

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

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

Calls

9 calls:

74.0ms	(sin.f64 th)
68.0ms	(sin.f64 kx)
64.0ms	(sin.f64 ky)
64.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
64.0ms	th

Results

Error	Segments	Branch
0.2b	1	`kx`
0.2b	1	`ky`
0.2b	1	`th`
0.2b	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
0.2b	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
0.2b	1	`(sin.f64 ky)`
0.2b	1	`(pow.f64 (sin.f64 kx) 2)`
0.2b	1	`(sin.f64 kx)`
0.2b	1	`(sin.f64 th)`

Compiler

Compiled 1310 to 476 computations (63.7% saved)

regimes354.0ms (1.2%)

Counts

111 → 1

Calls

Call 1

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

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

Calls

6 calls:

57.0ms	(sin.f64 th)
55.0ms	kx
55.0ms	th
54.0ms	ky
53.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
0.2b	1	`kx`
0.2b	1	`ky`
0.2b	1	`th`
0.2b	1	`(sin.f64 ky)`
0.2b	1	`(sin.f64 kx)`
0.2b	1	`(sin.f64 th)`

Compiler

Compiled 1067 to 384 computations (64% saved)

regimes480.0ms (1.6%)

Counts

109 → 1

Calls

Call 1

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

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

Calls

6 calls:

98.0ms	(sin.f64 th)
91.0ms	ky
86.0ms	kx
75.0ms	(sin.f64 kx)
49.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
0.2b	1	`kx`
0.2b	1	`ky`
0.2b	1	`th`
0.2b	1	`(sin.f64 ky)`
0.2b	1	`(sin.f64 kx)`
0.2b	1	`(sin.f64 th)`

Compiler

Compiled 1045 to 380 computations (63.6% saved)

regimes2.0s (6.7%)

Counts

108 → 6

Calls

Call 1

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

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

Calls

6 calls:

557.0ms	kx
516.0ms	(sin.f64 kx)
377.0ms	(sin.f64 th)
228.0ms	ky
186.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
21.2b	11	`kx`
14.2b	5	`ky`
13.8b	3	`th`
13.7b	4	`(sin.f64 ky)`
21.5b	9	`(sin.f64 kx)`
11.6b	6	`(sin.f64 th)`

Compiler

Compiled 1034 to 378 computations (63.4% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.9751049621094474	0.9764803890103032
0.0ms	0.9466979930621706	0.950087022071275
0.0ms	0.43192593873144414	0.43235156788013673
0.0ms	7.011411733321352e-15	1.3934653250808004e-14
0.0ms	-0.048590732865430364	-0.0003080694823368583

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.8s (6.1%)

Counts

94 → 6

Calls

Call 1

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

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

Calls

6 calls:

425.0ms	(sin.f64 kx)
416.0ms	kx
270.0ms	th
259.0ms	(sin.f64 ky)
236.0ms	ky

Results

Error	Segments	Branch
24.4b	8	`kx`
23.5b	6	`ky`
17.4b	6	`th`
21.8b	6	`(sin.f64 ky)`
24.6b	7	`(sin.f64 kx)`
17.7b	3	`(sin.f64 th)`

Compiler

Compiled 857 to 314 computations (63.4% saved)

bsearch590.0ms (2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
126.0ms	1.0210786191549728e+173	9.37048065959514e+180
84.0ms	20.509227085387504	548909.5567044961
70.0ms	-37.31122526834723	-0.20132319211705377
144.0ms	-9.777062827117109e+145	-6.66156853371361e+133
164.0ms	-4.737773395717207e+261	-2.2364177575536064e+252

Results

445.0ms	455×	body	1024	valid
110.0ms	143×	body	512	valid
24.0ms	90×	body	256	valid

Compiler

Compiled 1011 to 725 computations (28.3% saved)

regimes1.4s (4.7%)

Counts

89 → 3

Calls

Call 1

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

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

Calls

6 calls:

350.0ms	th
326.0ms	ky
245.0ms	(sin.f64 kx)
194.0ms	(sin.f64 ky)
189.0ms	kx

Results

Error	Segments	Branch
33.1b	5	`kx`
31.4b	6	`ky`
34.9b	6	`th`
28.8b	3	`(sin.f64 ky)`
30.2b	5	`(sin.f64 kx)`
35.3b	2	`(sin.f64 th)`

Compiler

Compiled 807 to 303 computations (62.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5761524173310623e-143	2.244071046078493e-140
0.0ms	-0.03496691347903592	-0.025646180640609903

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes830.0ms (2.8%)

Counts

87 → 3

Calls

Call 1

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

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

Calls

6 calls:

219.0ms	th
144.0ms	ky
118.0ms	(sin.f64 ky)
116.0ms	(sin.f64 th)
109.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
34.4b	3	`kx`
34.9b	3	`ky`
38.2b	5	`th`
34.3b	2	`(sin.f64 ky)`
31.4b	3	`(sin.f64 kx)`
40.9b	3	`(sin.f64 th)`

Compiler

Compiled 789 to 298 computations (62.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-2.190931168262335e-35	-6.373044863554707e-41

Compiler

Compiled 25 to 19 computations (24% saved)

regimes936.0ms (3.1%)

Counts

68 → 3

Calls

Call 1

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

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

Calls

6 calls:

313.0ms	th
176.0ms	ky
147.0ms	kx
109.0ms	(sin.f64 th)
90.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
35.0b	3	`kx`
34.9b	3	`ky`
37.5b	7	`th`
34.3b	2	`(sin.f64 ky)`
31.8b	3	`(sin.f64 kx)`
40.6b	4	`(sin.f64 th)`

Compiler

Compiled 571 to 211 computations (63% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-2.190931168262335e-35	-6.373044863554707e-41

Compiler

Compiled 25 to 19 computations (24% saved)

regimes748.0ms (2.5%)

Counts

62 → 3

Calls

Call 1

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

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

Calls

6 calls:

209.0ms	(sin.f64 th)
181.0ms	th
103.0ms	ky
82.0ms	(sin.f64 ky)
81.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
35.0b	3	`kx`
34.9b	3	`ky`
39.6b	6	`th`
34.3b	2	`(sin.f64 ky)`
32.5b	3	`(sin.f64 kx)`
40.2b	5	`(sin.f64 th)`

Compiler

Compiled 523 to 201 computations (61.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-6.373044863554707e-41	-4.1955680856009906e-51

Compiler

Compiled 25 to 19 computations (24% saved)

regimes794.0ms (2.6%)

Counts

60 → 3

Calls

Call 1

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

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

Calls

6 calls:

232.0ms	th
166.0ms	ky
125.0ms	(sin.f64 th)
111.0ms	kx
76.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
35.0b	3	`kx`
34.9b	3	`ky`
39.6b	6	`th`
34.3b	2	`(sin.f64 ky)`
32.6b	3	`(sin.f64 kx)`
40.3b	5	`(sin.f64 th)`

Compiler

Compiled 507 to 198 computations (60.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-6.373044863554707e-41	-4.1955680856009906e-51

Compiler

Compiled 25 to 19 computations (24% saved)

regimes758.0ms (2.5%)

Counts

59 → 3

Calls

Call 1

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

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

Calls

6 calls:

152.0ms	th
141.0ms	ky
136.0ms	(sin.f64 th)
119.0ms	(sin.f64 ky)
115.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
36.5b	3	`kx`
34.9b	3	`ky`
41.4b	4	`th`
34.9b	2	`(sin.f64 ky)`
34.1b	3	`(sin.f64 kx)`
41.4b	4	`(sin.f64 th)`

Compiler

Compiled 499 to 197 computations (60.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-6.373044863554707e-41	-4.1955680856009906e-51

Compiler

Compiled 25 to 19 computations (24% saved)

regimes572.0ms (1.9%)

Counts

58 → 3

Calls

Call 1

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

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

Calls

6 calls:

121.0ms	th
103.0ms	(sin.f64 th)
99.0ms	ky
85.0ms	(sin.f64 ky)
78.0ms	kx

Results

Error	Segments	Branch
36.5b	3	`kx`
34.9b	3	`ky`
41.4b	4	`th`
34.9b	2	`(sin.f64 ky)`
34.1b	3	`(sin.f64 kx)`
41.4b	4	`(sin.f64 th)`

Compiler

Compiled 491 to 195 computations (60.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-6.373044863554707e-41	-4.1955680856009906e-51

Compiler

Compiled 25 to 19 computations (24% saved)

regimes748.0ms (2.5%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

6 calls:

175.0ms	th
172.0ms	kx
150.0ms	ky
96.0ms	(sin.f64 th)
72.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
36.5b	3	`kx`
34.9b	3	`ky`
41.4b	4	`th`
34.9b	2	`(sin.f64 ky)`
34.1b	3	`(sin.f64 kx)`
41.4b	4	`(sin.f64 th)`

Compiler

Compiled 483 to 193 computations (60% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.357769874989107e-114	2.241151979266939e-113
0.0ms	-6.373044863554707e-41	-4.1955680856009906e-51

Compiler

Compiled 25 to 19 computations (24% saved)

regimes858.0ms (2.9%)

Counts

55 → 2

Calls

Call 1

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

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

Calls

6 calls:

201.0ms	kx
201.0ms	(sin.f64 ky)
130.0ms	ky
119.0ms	(sin.f64 th)
115.0ms	th

Results

Error	Segments	Branch
36.5b	3	`kx`
34.9b	3	`ky`
42.4b	3	`th`
34.9b	2	`(sin.f64 ky)`
35.7b	3	`(sin.f64 kx)`
42.4b	3	`(sin.f64 th)`

Compiler

Compiled 467 to 189 computations (59.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5761524173310623e-143	2.244071046078493e-140

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes460.0ms (1.5%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

6 calls:

88.0ms	(sin.f64 kx)
86.0ms	(sin.f64 th)
83.0ms	ky
83.0ms	th
78.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
36.5b	3	`kx`
34.9b	3	`ky`
41.9b	5	`th`
34.9b	2	`(sin.f64 ky)`
36.3b	3	`(sin.f64 kx)`
41.9b	5	`(sin.f64 th)`

Compiler

Compiled 210 to 94 computations (55.2% saved)

bsearch159.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	2.5761524173310623e-143	2.244071046078493e-140
82.0ms	-22385.29755790182	-20.88213062056527

Results

110.0ms	125×	body	1024	valid
23.0ms	90×	body	256	valid
23.0ms	41×	body	512	valid

Compiler

Compiled 297 to 227 computations (23.6% saved)

regimes237.0ms (0.8%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	(sin.f64 th)
50.0ms	th
42.0ms	(sin.f64 kx)
32.0ms	kx
31.0ms	ky

Results

Error	Segments	Branch
41.2b	3	`kx`
39.0b	3	`ky`
42.6b	5	`th`
38.9b	2	`(sin.f64 ky)`
40.1b	4	`(sin.f64 kx)`
42.6b	5	`(sin.f64 th)`

Compiler

Compiled 182 to 88 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.244071046078493e-140	8.01094169867633e-140

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes215.0ms (0.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	kx
34.0ms	(sin.f64 th)
33.0ms	th
26.0ms	(sin.f64 kx)
21.0ms	ky

Results

Error	Segments	Branch
41.2b	3	`kx`
39.0b	3	`ky`
42.6b	5	`th`
38.9b	2	`(sin.f64 ky)`
40.1b	4	`(sin.f64 kx)`
42.6b	5	`(sin.f64 th)`

Compiler

Compiled 104 to 54 computations (48.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.244071046078493e-140	8.01094169867633e-140

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes164.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

48.0ms	(sin.f64 th)
33.0ms	th
27.0ms	(sin.f64 kx)
21.0ms	ky
20.0ms	kx

Results

Error	Segments	Branch
41.3b	3	`kx`
39.0b	3	`ky`
42.6b	5	`th`
39.0b	2	`(sin.f64 ky)`
40.1b	4	`(sin.f64 kx)`
42.6b	5	`(sin.f64 th)`

Compiler

Compiled 98 to 52 computations (46.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.244071046078493e-140	8.01094169867633e-140

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes89.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(sin.f64 th)
26.0ms	th
20.0ms	kx
16.0ms	ky

Results

Error	Segments	Branch
44.0b	3	`kx`
41.2b	3	`ky`
43.8b	5	`th`
43.8b	5	`(sin.f64 th)`

Compiler

Compiled 64 to 35 computations (45.3% saved)

bsearch120.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.244071046078493e-140	8.01094169867633e-140
77.0ms	-3.694195750226549e-13	-1.4197911090865062e-16

Results

76.0ms	84×	body	1024	valid
21.0ms	40×	body	512	valid
20.0ms	84×	body	256	valid

Compiler

Compiled 220 to 162 computations (26.4% saved)

regimes52.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	kx
19.0ms	ky
11.0ms	th

Results

Error	Segments	Branch
50.0b	3	`kx`
47.8b	3	`ky`
53.0b	2	`th`

Compiler

Compiled 57 to 30 computations (47.4% saved)

bsearch120.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	2.244071046078493e-140	8.01094169867633e-140
75.0ms	-1.4197911090865062e-16	-3.879999397606893e-19

Results

78.0ms	90×	body	1024	valid
20.0ms	84×	body	256	valid
19.0ms	34×	body	512	valid

Compiler

Compiled 207 to 149 computations (28% saved)

regimes26.0ms (0.1%)

Accuracy

Total -14.3b remaining (-29.9%)

Threshold costs -14.3b (-29.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	kx
8.0ms	ky
7.0ms	th

Results

Error	Segments	Branch
50.0b	3	`kx`
47.8b	3	`ky`
53.0b	2	`th`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch121.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.244071046078493e-140	8.01094169867633e-140
78.0ms	-1.4197911090865062e-16	-3.879999397606893e-19

Results

75.0ms	86×	body	1024	valid
23.0ms	88×	body	256	valid
17.0ms	34×	body	512	valid

Compiler

Compiled 207 to 149 computations (28% saved)

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
12×	`if-if-or-not`
8×	`fabs-mul`
6×	`fabs-div`
4×	`not-or`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1480
1	175	1456
2	184	1456
3	187	1452
4	188	1452
5	189	1452

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 th) -5764607523034235/144115188075855872) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 6338253001141147/633825300114114700748351602688) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 th) 7782220156096217/18014398509481984) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 4278419646001971/4503599627370496) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 th) 1098878309078401/1125899906842624) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))))))
(if (<=.f64 th -2900000000000000154050358039206115999180928872559193845060696364878576590757752192821598211356843429562229153465343977601403214930722898758484665096980809599654373246214122463027090941543211297095805478896298256993211153555693424592672009989375768142020608) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th -119999999999999998652539748382602337863119043700985084834240147436799886550664197270033827984836522920560257056396413488708122675918512586752) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) (if (<=.f64 th -3602879701896397/1125899906842624) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th 75) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th 440000000000000014524835907270691709260824042191542351012485513932353117837728042045630697283238781497326580404952387239641467470238538008580515604826894310843765067001502892032) (sin.f64 th) (/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 ky) -1080863910568919/36028797018963968) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 ky (sin.f64 th))) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 ky (sin.f64 th))) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 ky -28) (sin.f64 th) (if (<=.f64 ky 2917539005555509/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky -3565267313141895/9903520314283042199192993792) (sin.f64 th) (if (<=.f64 ky 4826810854779335/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) th) (sin.f64 th)))
(if (<=.f64 ky -2535301200456459/20282409603651670423947251286016) th (if (<=.f64 ky 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -5841333965851681/324518553658426726783156020576256) th (if (<=.f64 ky 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 ky (/.f64 th kx)) th))
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) -5764607523034235/144115188075855872) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 6338253001141147/633825300114114700748351602688) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 th) 7782220156096217/18014398509481984) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 4278419646001971/4503599627370496) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 th) 1098878309078401/1125899906842624) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/144115188075855872) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 6338253001141147/633825300114114700748351602688) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) 7782220156096217/18014398509481984) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (or (<=.f64 (sin.f64 th) 4278419646001971/4503599627370496) (not (<=.f64 (sin.f64 th) 1098878309078401/1125899906842624))) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/144115188075855872) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 6338253001141147/633825300114114700748351602688) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (or (<=.f64 (sin.f64 th) 7782220156096217/18014398509481984) (not (or (<=.f64 (sin.f64 th) 4278419646001971/4503599627370496) (not (<=.f64 (sin.f64 th) 1098878309078401/1125899906842624))))) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 th) -5764607523034235/144115188075855872) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) 6338253001141147/633825300114114700748351602688) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (or (<=.f64 (sin.f64 th) 7782220156096217/18014398509481984) (and (not (<=.f64 (sin.f64 th) 4278419646001971/4503599627370496)) (<=.f64 (sin.f64 th) 1098878309078401/1125899906842624))) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))))
(if (<=.f64 th -2900000000000000154050358039206115999180928872559193845060696364878576590757752192821598211356843429562229153465343977601403214930722898758484665096980809599654373246214122463027090941543211297095805478896298256993211153555693424592672009989375768142020608) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th -119999999999999998652539748382602337863119043700985084834240147436799886550664197270033827984836522920560257056396413488708122675918512586752) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) (if (<=.f64 th -3602879701896397/1125899906842624) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th 75) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th 440000000000000014524835907270691709260824042191542351012485513932353117837728042045630697283238781497326580404952387239641467470238538008580515604826894310843765067001502892032) (sin.f64 th) (/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx)))))))
(if (<=.f64 th -2900000000000000154050358039206115999180928872559193845060696364878576590757752192821598211356843429562229153465343977601403214930722898758484665096980809599654373246214122463027090941543211297095805478896298256993211153555693424592672009989375768142020608) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th -119999999999999998652539748382602337863119043700985084834240147436799886550664197270033827984836522920560257056396413488708122675918512586752) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 th -3602879701896397/1125899906842624) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th 75) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 th 440000000000000014524835907270691709260824042191542351012485513932353117837728042045630697283238781497326580404952387239641467470238538008580515604826894310843765067001502892032) (sin.f64 th) (/.f64 (fabs.f64 (*.f64 (sin.f64 th) ky)) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 ky) -1080863910568919/36028797018963968) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -1080863910568919/36028797018963968) (/.f64 (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 ky (sin.f64 th))) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 ky (sin.f64 th))) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (fabs.f64 (.f64 (sin.f64 th) ky)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky -28) (sin.f64 th) (if (<=.f64 ky 2917539005555509/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -28) (sin.f64 th) (if (<=.f64 ky 2917539005555509/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky -3565267313141895/9903520314283042199192993792) (sin.f64 th) (if (<=.f64 ky 4826810854779335/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) th) (sin.f64 th)))
(if (<=.f64 ky -3565267313141895/9903520314283042199192993792) (sin.f64 th) (if (<=.f64 ky 4826810854779335/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 th (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -2535301200456459/20282409603651670423947251286016) th (if (<=.f64 ky 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -2535301200456459/20282409603651670423947251286016) th (if (<=.f64 ky 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 th (/.f64 ky kx)) th))
(if (<=.f64 ky -5841333965851681/324518553658426726783156020576256) th (if (<=.f64 ky 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 ky (/.f64 th kx)) th))
th

Compiler

Compiled 578 to 314 computations (45.7% saved)

soundness136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2464×	`associate-/r*`
1264×	`sqr-pow`
806×	`*-commutative`
720×	`associate-r`
530×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	28	35
2	45	35
3	73	35
4	150	35
5	381	35
6	1468	35
7	2660	35
8	3457	35
9	3709	35
10	4034	35
11	4498	35
12	5098	35

Stop Event

1×	node limit

Compiler

Compiled 81 to 37 computations (54.3% saved)

end162.0ms (0.5%)

Compiler: Compiled 515 to 159 computations (69.1% saved)