Details

analyze540.0ms (0.4%)

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 (4.7%)

Results

4.7s	4775×	body	1024	valid
1.2s	1502×	body	512	valid
796.0ms	1968×	body	256	valid
37.0ms	11×	body	2048	valid

Bogosity

preprocess127.0ms (0.1%)

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)

simplify94.0ms (0.1%)

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)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	3.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
▶	0.3b	(/.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 61 to 41 computations (32.8% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series21.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite133.0ms (0.1%)

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	80
1	241	80
2	3023	80

Stop Event

1×	node limit

Counts

4 → 210

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))
(sin.f64 ky)

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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simplify161.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-r`
1448×	`associate-/r*`
1286×	`associate-l`
696×	`*-commutative`
438×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	14460
1	1784	14406

Stop Event

1×	node limit

Counts

298 → 354

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

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

localize96.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.3b	(/.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
4.0ms	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)))
0.0ms	ky	@	inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))

rewrite100.0ms (0.1%)

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

simplify1.9min (81.6%)

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

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sin.f64 ky) 2)
✓	0.2b	(pow.f64 (sin.f64 kx) 2)
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
✓	2.5b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

Compiler

Compiled 61 to 30 computations (50.8% saved)

series20.0ms (0%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	th	@	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
2.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
1.0ms	kx	@	0	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
1.0ms	th	@	inf	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
1.0ms	ky	@	-inf	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`associate-*r/`
1556×	`associate-*l/`
354×	`add-sqr-sqrt`
346×	`*-un-lft-identity`
342×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	342	72
2	4559	72

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

Outputs
((#(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 .f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) 1) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(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 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 fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(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 hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (#(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 exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.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) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (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))) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 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 kx) (sin.f64 ky))))) 2) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.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 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(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 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(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 kx) (sin.f64 ky))))))) (#(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 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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)) (.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 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(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 kx) (sin.f64 ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 kx) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 kx) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (pow.f64 (sin.f64 kx) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 4)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 kx) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 kx) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 ky) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (cbrt.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 ky) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 ky) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) 2)))))))

simplify539.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1640×	`distribute-lft-in`
722×	`+-commutative`
636×	`associate-+r+`
618×	`associate-/r/`
606×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	9018
1	1197	8288
2	4658	8288

Stop Event

1×	node limit

Counts

192 → 240

Calls

Call 1

Inputs
(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)))
(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)))))
(+.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))))))
(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 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 kx) 6))) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 kx) 4))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))))))))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6))))) (+.f64 (sin.f64 th) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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)))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(pow.f64 ky 2)
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (pow.f64 ky 2))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (.f64 2/45 (pow.f64 ky 6))))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (+.f64 (.f64 -1/315 (pow.f64 ky 8)) (*.f64 2/45 (pow.f64 ky 6)))))
(-.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))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) 1) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
(pow.f64 (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)
(fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(.f64 1 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.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 kx) (sin.f64 ky)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 (sin.f64 ky) (sin.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 (.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.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 kx) (sin.f64 ky))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (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))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1)
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (sin.f64 kx) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 kx) 2))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (pow.f64 (sin.f64 kx) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 4)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2)))
(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(.f64 (.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 kx) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))
(cbrt.f64 (pow.f64 (sin.f64 kx) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 kx))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 kx))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 ky))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2))) 1)
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (pow.f64 (sin.f64 ky) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 ky) 2))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (cbrt.f64 (pow.f64 (sin.f64 ky) 2)))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 ky) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))
(cbrt.f64 (pow.f64 (sin.f64 ky) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) 2)))

Outputs
(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))
(fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))
(fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (.f64 (/.f64 kx (sin.f64 ky)) kx) (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (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 (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (/.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)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 kx 6) (sin.f64 ky)) (+.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))))) (fma.f64 1/2 (.f64 (/.f64 kx (sin.f64 ky)) kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 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))
(fma.f64 1/2 (/.f64 ky (/.f64 (sin.f64 kx) ky)) (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 ky (/.f64 (sin.f64 kx) ky)) (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 ky (/.f64 (sin.f64 kx) 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)) (/.f64 (.f64 1/2 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2))))) (/.f64 (sin.f64 kx) (pow.f64 ky 6)))))
(+.f64 (fma.f64 1/2 (/.f64 ky (/.f64 (sin.f64 kx) ky)) (sin.f64 kx)) (fma.f64 1/2 (.f64 (/.f64 (+.f64 2/45 (/.f64 (.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (sin.f64 kx)) (pow.f64 ky 6)) (.f64 (/.f64 -1/2 (sin.f64 kx)) (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(/.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 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(fma.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 (/.f64 -1/6 (sin.f64 kx)) (sin.f64 th))) (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (fma.f64 1/2 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (/.f64 1/3 (pow.f64 (sin.f64 kx) 4))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120))) (pow.f64 ky 5) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (fma.f64 (fma.f64 1/2 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) 1/12 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120))) (pow.f64 ky 5) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (fma.f64 (fma.f64 1/2 (.f64 (sin.f64 th) (.f64 (sin.f64 kx) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) 1/12 (/.f64 (.f64 (sin.f64 th) 1/120) (sin.f64 kx)))) (pow.f64 ky 5) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 (/.f64 -1/6 (sin.f64 kx)) (sin.f64 th))) (pow.f64 ky 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 kx) 6))) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 kx) 4))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))))))))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
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(fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040 (fma.f64 -1/2 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 kx) 6)) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (pow.f64 (sin.f64 kx) 2)) (/.f64 2/45 (pow.f64 (sin.f64 kx) 4)))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/240 (.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) -1/12))))) (pow.f64 ky 7) (+.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (fma.f64 (fma.f64 1/2 (.f64 (sin.f64 th) (.f64 (sin.f64 kx) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) 1/12 (/.f64 (.f64 (sin.f64 th) 1/120) (sin.f64 kx)))) (pow.f64 ky 5) (.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 (/.f64 -1/6 (sin.f64 kx)) (sin.f64 th))) (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 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))
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(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 (sin.f64 ky) (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (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 (sin.f64 ky) (.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (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 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(sin.f64 th)
(+.f64 (.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 (sin.f64 th) (/.f64 (.f64 kx kx) (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))) (+.f64 (sin.f64 th) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx kx))) (sin.f64 th)) (.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (*.f64 (sin.f64 th) (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))) (fma.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (pow.f64 kx 4) (.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th)))
(fma.f64 -1/2 (.f64 (sin.f64 th) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2))) (fma.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (pow.f64 kx 4) (*.f64 (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))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6))))) (+.f64 (sin.f64 th) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))))))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (.f64 kx kx))) (fma.f64 -1/2 (.f64 (+.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (/.f64 2/3 (pow.f64 (sin.f64 ky) 6))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8)))) (.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 6))) (+.f64 (sin.f64 th) (.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (.f64 (sin.f64 th) (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))) (fma.f64 (.f64 -1/2 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8)))))) (.f64 (pow.f64 (sin.f64 ky) 2) (.f64 (pow.f64 kx 6) (sin.f64 th))) (fma.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (pow.f64 kx 4) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th))))
(fma.f64 -1/2 (.f64 (sin.f64 th) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2))) (fma.f64 -1/2 (.f64 (sin.f64 th) (.f64 (.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))))) (fma.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)))) (.f64 (pow.f64 kx 4) (.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 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 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (.f64 kx kx) (.f64 (pow.f64 kx 4) -1/3))
(fma.f64 kx kx (*.f64 (pow.f64 kx 4) -1/3))
(fma.f64 (pow.f64 kx 4) -1/3 (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (.f64 2/45 (pow.f64 kx 6))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (.f64 2/45 (pow.f64 kx 6))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (*.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (.f64 -1/3 (pow.f64 kx 4)) (+.f64 (.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(+.f64 (.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (fma.f64 2/45 (pow.f64 kx 6) (.f64 -1/315 (pow.f64 kx 8)))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 2/45 (pow.f64 kx 6) (*.f64 -1/315 (pow.f64 kx 8)))))
(pow.f64 ky 2)
(*.f64 ky ky)
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (pow.f64 ky 2))
(fma.f64 -1/3 (pow.f64 ky 4) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 (pow.f64 ky 4) -1/3))
(fma.f64 (pow.f64 ky 4) -1/3 (*.f64 ky ky))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (.f64 2/45 (pow.f64 ky 6))))
(+.f64 (fma.f64 -1/3 (pow.f64 ky 4) (.f64 ky ky)) (.f64 2/45 (pow.f64 ky 6)))
(fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 ky ky (*.f64 2/45 (pow.f64 ky 6))))
(fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 2/45 (pow.f64 ky 6) (*.f64 ky ky)))
(+.f64 (.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (+.f64 (.f64 -1/315 (pow.f64 ky 8)) (*.f64 2/45 (pow.f64 ky 6)))))
(+.f64 (fma.f64 -1/3 (pow.f64 ky 4) (.f64 ky ky)) (fma.f64 -1/315 (pow.f64 ky 8) (.f64 2/45 (pow.f64 ky 6))))
(fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 ky ky (fma.f64 2/45 (pow.f64 ky 6) (*.f64 -1/315 (pow.f64 ky 8)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) 2))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 ky) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) 2)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 ky) 3)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (-.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) 2) (pow.f64 (sin.f64 ky) 4)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (sin.f64 ky) 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) 2))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 ky) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) 2)))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.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 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 2)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 3)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3) 1/3)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) 1) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (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 kx) (sin.f64 ky)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) 1))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 kx))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1)
(pow.f64 (sin.f64 kx) 2)
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (sin.f64 kx) 2)
(*.f64 (pow.f64 (sin.f64 kx) 2) 1)
(pow.f64 (sin.f64 kx) 2)
(*.f64 1 (pow.f64 (sin.f64 kx) 2))
(pow.f64 (sin.f64 kx) 2)
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(pow.f64 (sin.f64 kx) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (pow.f64 (sin.f64 kx) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(.f64 (sin.f64 kx) (.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 4)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (pow.f64 (sin.f64 kx) 4)))
(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(pow.f64 (sin.f64 kx) 2)
(.f64 (.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (sin.f64 kx)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(.f64 (sin.f64 kx) (.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 kx kx))))
(sqrt.f64 (pow.f64 (sin.f64 kx) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))
(pow.f64 (sin.f64 kx) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))
(pow.f64 (sin.f64 kx) 2)
(cbrt.f64 (pow.f64 (sin.f64 kx) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))
(pow.f64 (sin.f64 kx) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 kx))))
(pow.f64 (sin.f64 kx) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 kx))) 1))
(pow.f64 (sin.f64 kx) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))
(pow.f64 (sin.f64 kx) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 ky))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 ky ky))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2))) 1)
(pow.f64 (sin.f64 ky) 2)
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (sin.f64 ky) 2)
(*.f64 (pow.f64 (sin.f64 ky) 2) 1)
(pow.f64 (sin.f64 ky) 2)
(*.f64 1 (pow.f64 (sin.f64 ky) 2))
(pow.f64 (sin.f64 ky) 2)
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (cbrt.f64 (pow.f64 (sin.f64 ky) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) 2)
(.f64 (.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (sin.f64 ky)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 ky))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 ky ky))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 ky ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 ky ky))))
(sqrt.f64 (pow.f64 (sin.f64 ky) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))
(pow.f64 (sin.f64 ky) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))
(pow.f64 (sin.f64 ky) 2)
(cbrt.f64 (pow.f64 (sin.f64 ky) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2)))
(pow.f64 (sin.f64 ky) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 ky))))
(pow.f64 (sin.f64 ky) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 ky))) 1))
(pow.f64 (sin.f64 ky) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) 2)))
(pow.f64 (sin.f64 ky) 2)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	2.2b	(/.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)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Expression
2.0ms	kx	@	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	ky	@	(*.f64 (sin.f64 ky) (sin.f64 th))
0.0ms	ky	@	(/.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	th	@	(*.f64 (sin.f64 ky) (sin.f64 th))

rewrite74.0ms (0.1%)

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 (0.1%)

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))

eval1.2s (0.8%)

Compiler: Compiled 35601 to 14390 computations (59.6% saved)

prune478.0ms (0.3%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1296	26	1322
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	1297	29	1326

Error

Counts

1326 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	0.4b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	48.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.8b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	9.1b	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 ky)))))))
	42.7b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	46.7b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	32.1b	(/.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)))
	47.5b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	30.9b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	48.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
▶	46.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	0.4b	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
▶	31.8b	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	2.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	51.5b	(.f64 (fma.f64 -1/2 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
	47.5b	(*.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))
	30.9b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	46.0b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.8b	(*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	47.6b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	0.3b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	0.3b	(.f64 (sin.f64 ky) (.f64 (neg.f64 (sin.f64 th)) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
▶	48.7b	(sin.f64 th)

Compiler

Compiled 728 to 507 computations (30.4% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
	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)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite83.0ms (0.1%)

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) 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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))))))))

simplify133.0ms (0.1%)

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))

localize6.0ms (0%)

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

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series8.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/l*`
1388×	`associate-*r/`
1142×	`*-commutative`
956×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	226	40
2	3026	40

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1112×	`distribute-rgt-in`
1112×	`distribute-lft-in`
554×	`associate-r`
546×	`distribute-lft-neg-in`
508×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	5539
1	1122	5405
2	4586	5325

Stop Event

1×	node limit

Counts

179 → 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 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx)))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 7)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky))))))))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sin.f64 th)) (cbrt.f64 (sin.f64 kx)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (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 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 3)))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx)))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 1/120 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx)))))
(+.f64 (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (/.f64 (.f64 (sin.f64 th) 1/120) (/.f64 (sin.f64 kx) (pow.f64 ky 5))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 7)) (sin.f64 kx))) (+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 -1/5040 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 7))) (fma.f64 1/120 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 3)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 7)) (.f64 1/120 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx)))) (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(+.f64 (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/5040 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 7)) (/.f64 (*.f64 (sin.f64 th) 1/120) (/.f64 (sin.f64 kx) (pow.f64 ky 5)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (.f64 (.f64 1/6 (sin.f64 th)) (*.f64 kx (sin.f64 ky))))
(fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) kx)))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -7/360) (pow.f64 kx 3)) (+.f64 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (.f64 (.f64 1/6 (sin.f64 th)) (.f64 kx (sin.f64 ky)))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (.f64 7/360 (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 kx 3) (.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 kx 5) (+.f64 (.f64 1/720 (.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sin.f64 th) (sin.f64 ky))) (.f64 1/120 (.f64 (sin.f64 th) (sin.f64 ky))))))))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx))))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -7/360) (pow.f64 kx 3)) (fma.f64 -1 (.f64 (pow.f64 kx 5) (fma.f64 1/720 (.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 -1/5040 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 1/6 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -7/360))))) (+.f64 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (.f64 (.f64 1/6 (sin.f64 th)) (.f64 kx (sin.f64 ky))))))
(-.f64 (-.f64 (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 kx (sin.f64 ky))) (.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (.f64 (pow.f64 kx 5) (+.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -7/2160) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 1/840)))) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 -7/360 (pow.f64 kx 3))))
(-.f64 (fma.f64 (.f64 7/360 (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 kx 3) (.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (.f64 (sin.f64 th) 1/6) kx)))) (.f64 (pow.f64 kx 5) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) -31/15120)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))
(fma.f64 -1/6 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 3)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))))
(fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 5))) (fma.f64 -1/6 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))))
(fma.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx)) (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 3)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (/.f64 (sin.f64 kx) (sin.f64 ky))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))))
(fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 5))) (fma.f64 -1/6 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 -1/5040 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 7))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))))
(fma.f64 1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx)) (fma.f64 -1/6 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 -1/5040 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 7)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (/.f64 (sin.f64 kx) (sin.f64 ky))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) (fma.f64 -1/5040 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 7)) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 kx (sin.f64 th))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th))) (/.f64 kx (sin.f64 th)))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (/.f64 kx (sin.f64 th)))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) (sin.f64 th))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th))) (/.f64 kx (sin.f64 th))))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (/.f64 kx (sin.f64 th))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 kx 5) (sin.f64 th))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 kx 7) (sin.f64 th))) (/.f64 kx (sin.f64 th)))))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) (sin.f64 th)) (/.f64 kx (sin.f64 th)))))
(/.f64 (sin.f64 kx) th)
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 th (sin.f64 kx))))
(fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))
(+.f64 (/.f64 (sin.f64 kx) th) (+.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (sin.f64 kx)) (.f64 1/120 (sin.f64 kx))) (pow.f64 th 3)))))
(+.f64 (/.f64 (sin.f64 kx) th) (fma.f64 1/6 (.f64 th (sin.f64 kx)) (neg.f64 (.f64 (pow.f64 th 3) (*.f64 (sin.f64 kx) -7/360)))))
(-.f64 (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)) (.f64 (sin.f64 kx) (*.f64 -7/360 (pow.f64 th 3))))
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 (sin.f64 kx) (-.f64 (.f64 th 1/6) (*.f64 -7/360 (pow.f64 th 3)))))
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(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) 1) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) 1)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) -1) (neg.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) 1) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))) (sqrt.f64 (neg.f64 (sin.f64 th))))
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (sqrt.f64 (neg.f64 (sin.f64 kx))))) (sqrt.f64 (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) (cbrt.f64 (sin.f64 kx))) (cbrt.f64 (sin.f64 th)))
(.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2))))
(*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (cbrt.f64 (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)) (cbrt.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1/3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) 1)
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1)
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 1 (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 kx)) 1))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) 1) (/.f64 1 (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (sin.f64 th))) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sin.f64 th)) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1)
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 2)
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) 3)
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 3) 1/3)
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1)
(/.f64 (sin.f64 kx) (sin.f64 th))
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 2))
(fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 3))
(/.f64 (sin.f64 kx) (sin.f64 th))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 th) 3)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series17.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	ky	@	inf	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
2.0ms	kx	@	inf	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms	th	@	-inf	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms	kx	@	0	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms	ky	@	-inf	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-*r/`
1478×	`associate-/l*`
1284×	`associate-*l/`
466×	`associate-/r/`
266×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	247	31
2	3258	31

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

simplify172.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-/r/`
1000×	`distribute-rgt-in`
1000×	`distribute-lft-in`
476×	`*-commutative`
464×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	6182
1	955	6124
2	3676	5952

Stop Event

1×	node limit

Counts

110 → 142

Calls

Call 1

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

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

localize78.0ms (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 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
✓	0.2b	(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	0.3b	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series12.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite127.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`unswap-sqr`
848×	`associate-*r/`
840×	`swap-sqr`
688×	`associate-*l/`
444×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	275	81
2	3277	81

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify211.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1200×	`associate-/l*`
834×	`times-frac`
768×	`associate-/r*`
732×	`+-commutative`
728×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	651	14245
1	1740	14013
2	7656	14013

Stop Event

1×	node limit

Counts

263 → 318

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

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

eval740.0ms (0.5%)

Compiler: Compiled 32019 to 13216 computations (58.7% saved)

prune467.0ms (0.3%)

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	1241	28	1269
Fresh	6	15	21
Picked	0	1	1
Done	1	6	7
Total	1248	50	1298

Error

Counts

1298 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))) -1)
	46.1b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	31.0b	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	0.4b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	53.5b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	51.9b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 ky))
▶	48.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.8b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	9.1b	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 ky)))))))
	42.7b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
▶	32.1b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.5b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	30.9b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	57.9b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
▶	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	48.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
✓	46.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	52.9b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
	51.3b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	0.4b	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
	46.1b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx)))
	48.9b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	50.5b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	46.6b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	51.7b	(/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	23.8b	(/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	57.9b	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
	47.5b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	2.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	57.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
	46.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	47.5b	(*.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))
	30.9b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	46.0b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	51.9b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
▶	47.6b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	46.7b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	0.3b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	48.7b	(.f64 (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))
	46.1b	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	55.8b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
✓	48.7b	(sin.f64 th)
	46.7b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	46.7b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 1176 to 831 computations (29.3% saved)

localize24.0ms (0%)

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 ky))
✓	0.2b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series6.0ms (0%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	ky	@	inf	(/.f64 1 (sin.f64 ky))
1.0ms	kx	@	0	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
0.0ms	ky	@	0	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
0.0ms	ky	@	0	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
0.0ms	ky	@	-inf	(/.f64 1 (sin.f64 ky))

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`associate-*r/`
1542×	`associate-/l*`
1408×	`associate-*l/`
464×	`associate-/r/`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	283	71
2	3573	71

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-lft-in`
814×	`associate-/l*`
722×	`associate-r`
656×	`*-commutative`
612×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	13940
1	1641	11750
2	6443	11750

Stop Event

1×	node limit

Counts

258 → 318

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 7 computations (66.7% saved)

series8.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`*-commutative`
886×	`associate-*r/`
822×	`associate-/r*`
728×	`unswap-sqr`
628×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	32
2	2560	32

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/l*`
830×	`distribute-rgt-in`
830×	`distribute-lft-in`
650×	`associate-/l/`
482×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	5446
1	1196	5310
2	5271	5246

Stop Event

1×	node limit

Counts

202 → 248

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 th) ky)
✓	2.2b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

15 calls:

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

rewrite77.0ms (0.1%)

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)))))))

simplify73.0ms (0.1%)

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))))
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(.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))

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
✓	0.1b	(/.f64 1 (sin.f64 kx))
	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	2.3b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))

Compiler

Compiled 32 to 13 computations (59.4% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`associate-*r/`
902×	`associate-*l/`
828×	`swap-sqr`
606×	`associate-/l*`
552×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	261	36
2	3282	36

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

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

simplify200.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1022×	`distribute-rgt-in`
1022×	`distribute-lft-in`
1018×	`associate-/l*`
540×	`associate-/l/`
532×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	8543
1	1366	8459
2	5473	8459

Stop Event

1×	node limit

Counts

205 → 282

Calls

Call 1

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

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

localize65.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(*.f64 (sin.f64 ky) th)
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series11.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
1128×	`associate-/l*`
1076×	`*-commutative`
868×	`associate-*r/`
680×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	222	42
2	2850	42

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-/r*`
1050×	`distribute-lft-in`
1046×	`distribute-rgt-in`
708×	`associate-/r/`
628×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	298	6008
1	832	5872
2	3436	5872

Stop Event

1×	node limit

Counts

120 → 145

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

eval700.0ms (0.5%)

Compiler: Compiled 30677 to 11299 computations (63.2% saved)

prune618.0ms (0.4%)

Pruning

78 alts after pruning (67 fresh and 11 done)

	Pruned	Kept	Total
New	1425	35	1460
Fresh	6	32	38
Picked	0	1	1
Done	1	10	11
Total	1432	78	1510

Error

Counts

1510 → 78

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) -1)
	46.1b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	54.6b	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (sin.f64 kx)) 2)
	47.5b	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 ky))
	54.6b	(/.f64 (/.f64 1 (sin.f64 kx)) (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
	47.2b	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.5b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	51.9b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 ky))
✓	48.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	53.9b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.8b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	9.1b	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 ky)))))))
	42.7b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	52.6b	(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)))
✓	32.1b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	46.5b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
	48.8b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
▶	52.5b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	53.5b	(/.f64 (*.f64 th ky) (sin.f64 kx))
	54.0b	(/.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)))
	30.9b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	57.9b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
	53.3b	(/.f64 (sin.f64 th) (/.f64 kx ky))
✓	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	31.8b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky)))
	31.2b	(/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (.f64 1/6 ky) (/.f64 1 ky))))
	46.0b	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	48.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
✓	46.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	52.9b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
	51.3b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
▶	0.4b	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
	48.9b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	50.5b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
▶	46.6b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	51.7b	(/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	47.5b	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	23.8b	(/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	57.9b	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
	47.5b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	53.0b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	47.6b	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
	46.7b	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	57.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
	46.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	47.5b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	53.2b	(*.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))
	30.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	30.9b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	46.0b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	51.9b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
✓	47.6b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	53.0b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
▶	53.3b	(*.f64 (/.f64 ky kx) (sin.f64 th))
	32.2b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) th))
	46.7b	(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))))
	52.5b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) th))
	46.2b	(.f64 (/.f64 1 (sin.f64 kx)) (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))))
	53.5b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 ky) (sin.f64 th)))
	56.5b	(.f64 (+.f64 (/.f64 ky kx) (.f64 1/6 (*.f64 ky kx))) (sin.f64 th))
	53.7b	(.f64 (+.f64 (.f64 1/6 kx) (/.f64 1 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓	0.3b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	48.7b	(.f64 (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))
	46.1b	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	54.0b	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 th (+.f64 th ky))) 2)) (sin.f64 (/.f64 (+.f64 th (+.f64 ky (-.f64 ky th))) 2))) (/.f64 -1 (sin.f64 kx)))
	55.8b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	45.6b	(*.f64 (fabs.f64 (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	56.4b	(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
✓	48.7b	(sin.f64 th)
	46.7b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	46.7b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	48.0b	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	54.8b	th

Compiler

Compiled 1847 to 1305 computations (29.3% saved)

localize21.0ms (0%)

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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
✓	0.3b	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th)))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series6.0ms (0%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	kx	@	0	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th)))
1.0ms	th	@	0	(/.f64 1 (sin.f64 th))
0.0ms	ky	@	0	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
0.0ms	th	@	inf	(/.f64 1 (sin.f64 th))
0.0ms	th	@	-inf	(/.f64 1 (sin.f64 th))

rewrite102.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`associate-*r/`
1542×	`associate-/l*`
1402×	`associate-*l/`
464×	`associate-/r/`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	283	71
2	3573	71

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify228.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l*`
824×	`associate-r`
700×	`*-commutative`
698×	`times-frac`
652×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	14498
1	1697	11952
2	7072	11948

Stop Event

1×	node limit

Counts

270 → 324

Calls

Call 1

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

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series11.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	kx	@	inf	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	ky	@	inf	(*.f64 (/.f64 ky kx) (sin.f64 th))
0.0ms	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))

rewrite71.0ms (0.1%)

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))))))))

simplify73.0ms (0.1%)

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))

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
	0.1b	(*.f64 (sin.f64 ky) th)
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 8

Calls

9 calls:

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

rewrite86.0ms (0.1%)

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	21
1	201	21
2	2618	21

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

simplify112.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1754×	`associate-/l*`
1160×	`associate-+r-`
812×	`*-commutative`
672×	`fma-def`
654×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2718
1	589	2534
2	2019	2502
3	7844	2502

Stop Event

1×	node limit

Counts

78 → 116

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) 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 (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) th) (/.f64 1 (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 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) 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 (*.f64 (sin.f64 ky) th)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 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 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sin.f64 kx)))
(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) th))
(.f64 (.f64 (sin.f64 ky) (neg.f64 th)) (/.f64 -1 (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) th)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (sin.f64 kx)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) (sin.f64 kx)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) (sin.f64 kx)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (sin.f64 kx)) th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 th (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (sin.f64 kx)) th)) (/.f64 1 (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 th (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 th (sin.f64 kx)) (/.f64 (sin.f64 ky) 1))
(*.f64 (/.f64 th (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 th (cbrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 th (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 ky))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 th 1))
(.f64 (/.f64 -1 (sin.f64 kx)) (.f64 (sin.f64 ky) (neg.f64 th)))
(*.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 th 1) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))) (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (cbrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) th)) (cbrt.f64 (sin.f64 kx))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) th)) (sqrt.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 (.f64 (sin.f64 ky) th)) 2) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) (neg.f64 th))
(*.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) (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) th)) 2))) (cbrt.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (sin.f64 kx) th)) (cbrt.f64 (sin.f64 ky)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))) (.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))))
(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) th) (neg.f64 (sin.f64 kx))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (neg.f64 th)) (sin.f64 kx)))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 ky) th) (neg.f64 (sin.f64 kx))) 1))
(neg.f64 (.f64 (.f64 (sin.f64 ky) th) (/.f64 -1 (sin.f64 kx))))
(neg.f64 (.f64 1 (/.f64 (.f64 (sin.f64 ky) th) (neg.f64 (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))) 2))
(log.f64 (exp.f64 (*.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)))))

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

localize22.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	187	20
2	2613	20

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1214×	`unswap-sqr`
966×	`*-commutative`
594×	`distribute-lft-in`
570×	`distribute-rgt-in`
446×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	1374
1	541	1342
2	2907	1322

Stop Event

1×	node limit

Counts

102 → 103

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

localize23.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series4.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-/r*`
1188×	`associate-*r/`
1156×	`associate-/l*`
1096×	`*-commutative`
796×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	248	25
2	3326	25

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-+r-`
1066×	`associate-/r*`
792×	`associate-+l-`
674×	`*-commutative`
540×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2936
1	566	2860
2	1862	2848
3	6132	2848

Stop Event

1×	node limit

Counts

78 → 106

Calls

Call 1

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

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

eval365.0ms (0.3%)

Compiler: Compiled 19722 to 7426 computations (62.3% saved)

prune509.0ms (0.4%)

Pruning

104 alts after pruning (90 fresh and 14 done)

	Pruned	Kept	Total
New	966	36	1002
Fresh	8	54	62
Picked	1	0	1
Done	1	14	15
Total	976	104	1080

Error

Counts

1080 → 104

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) -1)
	46.1b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) -1)
	48.7b	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	49.0b	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	54.6b	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (sin.f64 kx)) 2)
	47.5b	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 ky))
	54.6b	(/.f64 (/.f64 1 (sin.f64 kx)) (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
	47.2b	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) 2) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	54.0b	(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx))
	53.5b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	51.9b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 ky))
✓	48.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	53.9b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓	2.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.8b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	9.1b	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 ky)))))))
	42.7b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	52.6b	(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)))
✓	32.1b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	46.5b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
	48.8b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
	54.2b	(/.f64 (*.f64 (sin.f64 ky) th) kx)
	54.3b	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 ky))) th) (sin.f64 kx))
	53.5b	(/.f64 (*.f64 th ky) (sin.f64 kx))
	54.5b	(/.f64 (*.f64 th ky) kx)
	54.0b	(/.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)))
	30.9b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	57.9b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
✓	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	31.8b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky)))
	31.2b	(/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (.f64 1/6 ky) (/.f64 1 ky))))
	46.0b	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	48.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	54.9b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
✓	46.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	53.5b	(/.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (sin.f64 th)))
	57.5b	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	52.9b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
	53.6b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	51.3b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
✓	0.4b	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
	30.3b	(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 th)))
	29.9b	(/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 th 1/6))))
	48.9b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	50.5b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	52.3b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) th)))
	52.8b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 kx (sin.f64 th))))
	46.7b	(/.f64 (sin.f64 ky) (fabs.f64 (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx))))
	51.7b	(/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	53.2b	(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (sin.f64 kx))
	47.5b	(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
	54.8b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 ky) th))) (sin.f64 kx))
	53.9b	(/.f64 th (/.f64 kx ky))
	23.8b	(/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	57.9b	(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
	47.5b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	53.0b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	47.9b	(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	53.9b	(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
	48.8b	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
	55.2b	(+.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)))
	55.5b	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	55.2b	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	57.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
	46.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	47.5b	(*.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))
	30.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	30.9b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	46.0b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	51.9b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	52.0b	(*.f64 (/.f64 th (sin.f64 kx)) (sin.f64 ky))
	53.0b	(*.f64 (/.f64 th (sin.f64 kx)) ky)
✓	47.6b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	53.0b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
✓	53.3b	(*.f64 (/.f64 ky kx) (sin.f64 th))
	54.0b	(*.f64 (/.f64 ky kx) th)
	32.2b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) th))
	46.7b	(*.f64 (/.f64 1 (sin.f64 kx)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))))
	52.5b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) th))
	46.2b	(.f64 (/.f64 1 (sin.f64 kx)) (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))))
	53.5b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 ky) (sin.f64 th)))
	56.5b	(.f64 (+.f64 (/.f64 ky kx) (.f64 1/6 (*.f64 ky kx))) (sin.f64 th))
	53.7b	(.f64 (+.f64 (.f64 1/6 kx) (/.f64 1 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓	0.3b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	55.8b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	45.6b	(*.f64 (fabs.f64 (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	56.4b	(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	43.6b	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	48.7b	(sin.f64 th)
	48.7b	(log1p.f64 (expm1.f64 (sin.f64 th)))
	48.8b	(log.f64 (exp.f64 (sin.f64 th)))
	46.7b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	48.0b	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
	48.7b	(expm1.f64 (log1p.f64 (sin.f64 th)))
	55.1b	(exp.f64 (log.f64 (*.f64 (/.f64 ky kx) (sin.f64 th))))
	54.9b	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))))
	56.6b	(exp.f64 (log.f64 (sin.f64 th)))
	46.3b	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	54.8b	th

Compiler

Compiled 1259 to 896 computations (28.8% saved)

regimes1.0s (0.7%)

Counts

130 → 1

Calls

Call 1

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

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

Calls

9 calls:

144.0ms	(sin.f64 th)
128.0ms	(sin.f64 ky)
122.0ms	th
119.0ms	ky
114.0ms	(sin.f64 kx)

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 1308 to 472 computations (63.9% saved)

regimes1.0s (0.7%)

Counts

115 → 1

Calls

Call 1

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

332.0ms	(sin.f64 ky)
198.0ms	th
121.0ms	kx
118.0ms	(sin.f64 kx)
116.0ms	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 1062 to 372 computations (65% saved)

regimes1.1s (0.8%)

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

254.0ms	ky
214.0ms	(sin.f64 th)
212.0ms	kx
142.0ms	(sin.f64 kx)
138.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
21.4b	5	`kx`
15.2b	5	`ky`
11.6b	3	`th`
14.1b	3	`(sin.f64 ky)`
22.2b	3	`(sin.f64 kx)`
11.6b	3	`(sin.f64 th)`

Compiler

Compiled 1040 to 370 computations (64.4% saved)

bsearch157.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	8245031129578207000.0	1.370749766083258e+21
94.0ms	-12337853.109980494	-0.0024321090614280888

Results

96.0ms	115×	body	1024	valid
27.0ms	47×	body	512	valid
26.0ms	109×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 586 to 410 computations (30% saved)

regimes1.0s (0.7%)

Counts

107 → 3

Calls

Call 1

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

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

Calls

6 calls:

243.0ms	ky
207.0ms	kx
135.0ms	(sin.f64 ky)
134.0ms	(sin.f64 th)
132.0ms	th

Results

Error	Segments	Branch
21.4b	5	`kx`
15.4b	5	`ky`
11.6b	3	`th`
14.4b	3	`(sin.f64 ky)`
22.2b	3	`(sin.f64 kx)`
11.6b	3	`(sin.f64 th)`

Compiler

Compiled 968 to 345 computations (64.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4868582011288685e-9	7.273856652882804e-6
0.0ms	-0.11050470631613396	-0.0024321066637119936

Compiler

Compiled 25 to 19 computations (24% saved)

regimes362.0ms (0.3%)

Counts

92 → 2

Calls

Call 1

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

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

Calls

6 calls:

104.0ms	ky
74.0ms	(sin.f64 ky)
42.0ms	(sin.f64 th)
41.0ms	(sin.f64 kx)
41.0ms	kx

Results

Error	Segments	Branch
23.8b	1	`kx`
20.9b	3	`ky`
23.8b	1	`th`
17.5b	2	`(sin.f64 ky)`
23.8b	1	`(sin.f64 kx)`
23.8b	1	`(sin.f64 th)`

Compiler

Compiled 801 to 297 computations (62.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.01125290350830387	0.06139281916594734

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes836.0ms (0.6%)

Counts

69 → 4

Calls

Call 1

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

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

Calls

6 calls:

188.0ms	kx
182.0ms	(sin.f64 kx)
131.0ms	th
110.0ms	(sin.f64 ky)
106.0ms	ky

Results

Error	Segments	Branch
32.6b	7	`kx`
31.0b	4	`ky`
40.0b	4	`th`
26.7b	4	`(sin.f64 ky)`
30.4b	7	`(sin.f64 kx)`
37.5b	4	`(sin.f64 th)`

Compiler

Compiled 542 to 201 computations (62.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4815055283303588e-56	2.859911964748066e-52
0.0ms	-1.0156593052824264e-274	-1.333573607690063e-278
0.0ms	-5.690438398132998e-54	-1.7468468720154594e-57

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes890.0ms (0.6%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

6 calls:

225.0ms	(sin.f64 kx)
154.0ms	ky
145.0ms	th
132.0ms	(sin.f64 ky)
127.0ms	kx

Results

Error	Segments	Branch
35.7b	5	`kx`
35.2b	3	`ky`
41.4b	3	`th`
30.9b	3	`(sin.f64 ky)`
33.4b	5	`(sin.f64 kx)`
39.8b	4	`(sin.f64 th)`

Compiler

Compiled 446 to 182 computations (59.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7611673305092546e-63	7.174806687466397e-59
0.0ms	-5.690438398132998e-54	-1.7468468720154594e-57

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes526.0ms (0.4%)

Counts

52 → 3

Calls

Call 1

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

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

Calls

6 calls:

136.0ms	ky
96.0ms	kx
95.0ms	(sin.f64 th)
63.0ms	(sin.f64 ky)
63.0ms	th

Results

Error	Segments	Branch
38.2b	3	`kx`
36.8b	3	`ky`
42.3b	3	`th`
36.9b	2	`(sin.f64 ky)`
37.6b	3	`(sin.f64 kx)`
41.2b	4	`(sin.f64 th)`

Compiler

Compiled 414 to 169 computations (59.2% saved)

bsearch160.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	2.7611673305092546e-63	7.174806687466397e-59
67.0ms	-54307526361.76204	-52159185.57822957

Results

114.0ms	119×	body	1024	valid
23.0ms	100×	body	256	valid
17.0ms	36×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 297 to 227 computations (23.6% saved)

regimes281.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

6 calls:

77.0ms	ky
62.0ms	(sin.f64 th)
54.0ms	th
29.0ms	(sin.f64 ky)
28.0ms	kx

Results

Error	Segments	Branch
43.0b	3	`kx`
41.4b	3	`ky`
43.8b	3	`th`
41.4b	2	`(sin.f64 ky)`
42.8b	3	`(sin.f64 kx)`
43.8b	3	`(sin.f64 th)`

Compiler

Compiled 156 to 77 computations (50.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.5691262432714594e-157	7.270572517119188e-153

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes110.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	(sin.f64 kx)
16.0ms	kx
15.0ms	(sin.f64 th)
15.0ms	ky
14.0ms	th

Results

Error	Segments	Branch
43.0b	3	`kx`
41.4b	3	`ky`
43.9b	3	`th`
42.8b	3	`(sin.f64 kx)`
43.9b	3	`(sin.f64 th)`

Compiler

Compiled 61 to 33 computations (45.9% saved)

bsearch223.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	5.5691262432714594e-157	7.270572517119188e-153
70.0ms	-54307526361.76204	-52159185.57822957

Results

174.0ms	112×	body	1024	valid
24.0ms	104×	body	256	valid
20.0ms	39×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 281 to 211 computations (24.9% saved)

regimes129.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	ky
43.0ms	(sin.f64 th)
15.0ms	th
12.0ms	kx

Results

Error	Segments	Branch
44.0b	3	`kx`
41.9b	3	`ky`
44.6b	3	`th`
44.6b	3	`(sin.f64 th)`

Compiler

Compiled 38 to 23 computations (39.5% saved)

bsearch243.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
163.0ms	5.5691262432714594e-157	7.270572517119188e-153
79.0ms	-5.690438398132998e-54	-1.7468468720154594e-57

Results

150.0ms	108×	body	1024	valid
65.0ms	42×	body	512	valid
24.0ms	106×	body	256	valid

Compiler

Compiled 265 to 195 computations (26.4% saved)

regimes32.0ms (0%)

Accuracy

Total -14.6b remaining (-30.7%)

Threshold costs -14.6b (-30.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	th
10.0ms	ky
10.0ms	kx

Results

Error	Segments	Branch
49.2b	3	`kx`
47.6b	3	`ky`
51.5b	2	`th`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch191.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	2.7611673305092546e-63	7.174806687466397e-59
118.0ms	-5.690438398132998e-54	-1.7468468720154594e-57

Results

144.0ms	113×	body	1024	valid
27.0ms	108×	body	256	valid
17.0ms	35×	body	512	valid

Compiler

Compiled 249 to 179 computations (28.1% saved)

simplify22.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
12×	`if-if-or-not`
4×	`fabs-div`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	687
1	136	687
2	139	687

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 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 th -5072854620270127/576460752303423488) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 th 8500000000000000000) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 th 1/6)))) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 th) -3602879701896397/36028797018963968) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 (sin.f64 th) 3022314549036573/604462909807314587353088) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) 5764607523034235/288230376151711744) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 (fabs.f64 (/.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -65000000) (sin.f64 th) (if (<=.f64 ky 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 ky -54000000) (sin.f64 th) (if (<=.f64 ky 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -4744950613418513/862718293348820473429344482784628181556388621521298319395315527974912) (sin.f64 th) (if (<=.f64 ky 4830671903771573/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 (/.f64 ky kx) th) (sin.f64 th)))
(if (<=.f64 ky -1811708416032523/862718293348820473429344482784628181556388621521298319395315527974912) th (if (<=.f64 ky 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 (/.f64 ky kx) th) th))
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th -5072854620270127/576460752303423488) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 th 8500000000000000000) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 th 1/6)))) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (or (<=.f64 th -5072854620270127/576460752303423488) (not (<=.f64 th 8500000000000000000))) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (/.f64 (sin.f64 ky) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (/.f64 1 th) (.f64 th 1/6)))))
(if (<=.f64 (sin.f64 th) -3602879701896397/36028797018963968) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 (sin.f64 th) 3022314549036573/604462909807314587353088) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (or (<=.f64 (sin.f64 th) -3602879701896397/36028797018963968) (not (<=.f64 (sin.f64 th) 3022314549036573/604462909807314587353088))) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) 5764607523034235/288230376151711744) (/.f64 ky (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 (fabs.f64 (/.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808) (fabs.f64 (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 (sin.f64 th) (fabs.f64 (/.f64 ky (sin.f64 kx)))) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -65000000) (sin.f64 th) (if (<=.f64 ky 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -65000000) (sin.f64 th) (if (<=.f64 ky 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky -54000000) (sin.f64 th) (if (<=.f64 ky 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -54000000) (sin.f64 th) (if (<=.f64 ky 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -4744950613418513/862718293348820473429344482784628181556388621521298319395315527974912) (sin.f64 th) (if (<=.f64 ky 4830671903771573/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 (/.f64 ky kx) th) (sin.f64 th)))
(if (<=.f64 ky -4744950613418513/862718293348820473429344482784628181556388621521298319395315527974912) (sin.f64 th) (if (<=.f64 ky 4830671903771573/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 th (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -1811708416032523/862718293348820473429344482784628181556388621521298319395315527974912) th (if (<=.f64 ky 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -1811708416032523/862718293348820473429344482784628181556388621521298319395315527974912) th (if (<=.f64 ky 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 th (/.f64 ky kx)) th))
th

Compiler

Compiled 286 to 175 computations (38.8% saved)

soundness211.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2464×	`associate-/r*`
1530×	`associate-r`
1448×	`associate-/r*`
1286×	`associate-l`
1264×	`sqr-pow`

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
0	685	14460
1	1784	14406

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 145 to 54 computations (62.8% saved)

end124.0ms (0.1%)

Compiler: Compiled 250 to 99 computations (60.4% saved)