Details

analyze734.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample2.2min (88%)

Results

2.1min	4730×	body	1024	valid
915.0ms	1474×	body	512	valid
581.0ms	2037×	body	256	valid
30.0ms	15×	body	2048	valid

Bogosity

preprocess125.0ms (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)

simplify93.0ms (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

5 alts after pruning (5 fresh and 0 done)

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

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	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))
▶	2.8b	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))

Compiler

Compiled 61 to 41 computations (32.8% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
✓	0.2b	(pow.f64 (sin.f64 ky) 2)
✓	0.3b	(pow.f64 (sin.f64 kx) 2)
✓	2.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series20.0ms (0%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	ky	@	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
2.0ms	kx	@	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
2.0ms	ky	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
2.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
2.0ms	ky	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`associate-*r/`
890×	`associate-*l/`
804×	`associate-/r*`
624×	`associate-/l*`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	276	62
2	3542	62

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

simplify154.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1566×	`distribute-lft-in`
1560×	`distribute-rgt-in`
694×	`+-commutative`
652×	`associate-+l+`
604×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	7213
1	1054	6489
2	4176	6489

Stop Event

1×	node limit

Counts

177 → 223

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

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

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series64.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
45.0ms	ky	@	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
6.0ms	kx	@	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
2.0ms	th	@	inf	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
1.0ms	ky	@	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
1.0ms	ky	@	inf	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

rewrite101.0ms (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	75
1	241	75
2	3023	75

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

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

Outputs

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

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

simplify170.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	13636
1	1673	12822

Stop Event

1×	node limit

Counts

264 → 304

Calls

Call 1

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

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

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Compiler

Compiled 36 to 9 computations (75% saved)

series61.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
49.0ms	ky	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
5.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms	ky	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms	kx	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))

rewrite96.0ms (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

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

simplify178.0ms (0.1%)

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

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

localize18.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	3.5b	(/.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)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite85.0ms (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))))))))

simplify231.0ms (0.2%)

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

eval610.0ms (0.4%)

Compiler: Compiled 30374 to 13095 computations (56.9% saved)

prune315.0ms (0.2%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1034	26	1060
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	1036	28	1064

Error

Counts

1064 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
▶	32.2b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
✓	3.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	32.3b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	0.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	48.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	0.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
	1.2b	(/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (sin.f64 th)))
	29.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	49.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	46.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	31.4b	(/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)))
	48.3b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	3.5b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	48.3b	(*.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))
▶	30.7b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (.f64 ky ky)))) (sin.f64 th))
	8.3b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
▶	46.7b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	48.3b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	3.6b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (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))
	18.1b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
▶	49.2b	(sin.f64 th)
	38.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))

Compiler

Compiled 740 to 510 computations (31.1% saved)

localize26.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series13.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

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

simplify187.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	12925
1	1485	12833
2	6590	12831

Stop Event

1×	node limit

Counts

221 → 271

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize21.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series9.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`*-commutative`
904×	`associate-*r/`
818×	`associate-/r*`
782×	`unswap-sqr`
648×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	220	40
2	2791	40

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

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

simplify132.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/l*`
808×	`distribute-rgt-in`
808×	`distribute-lft-in`
580×	`associate-/l/`
512×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	7096
1	1282	6916
2	5076	6844

Stop Event

1×	node limit

Counts

200 → 269

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

localize20.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 9 computations (71% saved)

series21.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	ky	@	0	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	ky	@	-inf	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms	th	@	inf	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	kx	@	-inf	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	kx	@	0	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
1134×	`associate-/l*`
988×	`associate-*r/`
846×	`associate-*l/`
252×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	241	42
2	3075	42

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

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

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-/r*`
1150×	`distribute-rgt-in`
1148×	`distribute-lft-in`
760×	`associate-/r/`
600×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	5589
1	823	5503
2	3487	5503

Stop Event

1×	node limit

Counts

107 → 147

Calls

Call 1

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

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

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (.f64 ky ky)))) (sin.f64 th))
✓	0.2b	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))
	0.3b	(pow.f64 (sin.f64 kx) 2)
✓	14.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky)))

Compiler

Compiled 64 to 28 computations (56.3% saved)

series24.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`associate-*r/`
1252×	`associate-*l/`
1062×	`associate-/r*`
342×	`add-sqr-sqrt`
334×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	111
1	333	63
2	4288	63

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 kx) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 kx) ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 6)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 kx) ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 kx) ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 4)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))) (#(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 ky 6)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 kx) 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 ky 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 6))) 1) (sqrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 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simplify159.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-/l*`
1288×	`times-frac`
976×	`associate-r`
792×	`associate-/r*`
728×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	761	15132
1	1992	14970

Stop Event

1×	node limit

Counts

280 → 392

Calls

Call 1

Inputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) ky)) ky)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.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 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5))))))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) ky)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky)))
(*.f64 -1 ky)
(+.f64 (.f64 -1 ky) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)))
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)))))
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) (.f64 -1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))))))
(/.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 ky (sin.f64 kx)) (.f64 (+.f64 (.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (.f64 1/2 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5))))
(+.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 ky (sin.f64 kx)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/12 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (pow.f64 (sin.f64 kx) 8))) (sin.f64 kx)))) (+.f64 (.f64 1/5040 (/.f64 1 (sin.f64 kx))) (.f64 1/240 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 7)) (.f64 (+.f64 (.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (.f64 1/2 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3)))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky)) (pow.f64 ky 7))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky)) (pow.f64 ky 7))) (+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2))) (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 ky 4))) (.f64 2/3 (/.f64 1 (pow.f64 ky 6)))))) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 6))))) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.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 -1/2 (/.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 1/2 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (+.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 (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 (.f64 1/2 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (+.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 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.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 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (pow.f64 (sin.f64 kx) 8))) (.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (.f64 -1/12 (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 5))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 5))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 7))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (*.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 ky 5))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky) (.f64 1/2 (.f64 (sin.f64 th) (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 4))))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2))) (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 ky 4))) (.f64 2/3 (/.f64 1 (pow.f64 ky 6)))))) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (.f64 (pow.f64 kx 6) ky))))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky) (.f64 1/2 (.f64 (sin.f64 th) (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.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 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.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 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.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 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 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.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 kx) ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) 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 kx) ky)))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 kx) ky))) 2)
(/.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))
(/.f64 (/.f64 (sin.f64 th) 1) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sqrt.f64 (sin.f64 ky)))) (/.f64 (hypot.f64 (sin.f64 kx) ky) (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 kx) ky) (cbrt.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) 1)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (sin.f64 ky)))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) 1)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (sqrt.f64 (sin.f64 ky)))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (cbrt.f64 (sin.f64 ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 1 1/2)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) 1/2))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) 1) (neg.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) -1) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) 1) (neg.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) -1) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) 1) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (pow.f64 1 1/2)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) 1) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (sqrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) 1) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1) (neg.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))

Outputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) ky)) ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (.f64 kx kx) ky) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (*.f64 ky ky)))) (/.f64 ky (pow.f64 kx 6))) ky)))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) (fma.f64 1/2 (/.f64 (-.f64 2/45 (.f64 (/.f64 -1/2 ky) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky))) (/.f64 ky (pow.f64 kx 6))) ky)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(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 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx)))
(fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)))
(fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (/.f64 ky (/.f64 (sin.f64 kx) ky)) (sin.f64 kx)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (/.f64 ky (/.f64 (sin.f64 kx) ky)) (sin.f64 kx))) (/.f64 (*.f64 1/16 (pow.f64 ky 6)) (pow.f64 (sin.f64 kx) 5)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) ky)
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) ky)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5)) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) ky)))
(*.f64 -1 ky)
(neg.f64 ky)
(+.f64 (.f64 -1 ky) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)))
(fma.f64 -1 ky (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)))
(-.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 ky -1/2)) ky)
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)))))
(fma.f64 -1 ky (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) 1/8)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) 1/8)) ky)
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) (.f64 -1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))))))
(fma.f64 -1 ky (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5)) -1/16))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5)) -1/16))) ky)
(/.f64 ky (sin.f64 kx))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 3) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx)))
(fma.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
(-.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 ky 3) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (/.f64 ky (sin.f64 kx)) (.f64 (+.f64 (.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (.f64 1/2 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5))))
(+.f64 (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 (pow.f64 ky 5) (+.f64 (/.f64 1/120 (sin.f64 kx)) (fma.f64 1/2 (*.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (/.f64 1/12 (pow.f64 (sin.f64 kx) 3))))))
(+.f64 (-.f64 (/.f64 ky (sin.f64 kx)) (.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))))) (.f64 (pow.f64 ky 5) (+.f64 (/.f64 1/120 (sin.f64 kx)) (fma.f64 1/2 (*.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (/.f64 1/12 (pow.f64 (sin.f64 kx) 3))))))
(+.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 ky (sin.f64 kx)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/12 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (pow.f64 (sin.f64 kx) 8))) (sin.f64 kx)))) (+.f64 (.f64 1/5040 (/.f64 1 (sin.f64 kx))) (.f64 1/240 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 7)) (.f64 (+.f64 (.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (.f64 1/2 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)))))
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(+.f64 (-.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))))) (fma.f64 (-.f64 (fma.f64 -1/12 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (/.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (pow.f64 (sin.f64 kx) 8))) (.f64 (sin.f64 kx) -1/2))) (+.f64 (/.f64 1/5040 (sin.f64 kx)) (/.f64 1/240 (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 7) (.f64 (pow.f64 ky 5) (+.f64 (/.f64 1/120 (sin.f64 kx)) (fma.f64 1/2 (.f64 (sin.f64 kx) (-.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (/.f64 1/12 (pow.f64 (sin.f64 kx) 3)))))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky)))))
(+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) (/.f64 (pow.f64 ky 3) (sin.f64 ky))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3)))))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (/.f64 (pow.f64 ky 5) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 3)) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 5) (-.f64 (*.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4)))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky)) (pow.f64 ky 7))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (/.f64 (pow.f64 ky 5) (sin.f64 ky))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 (.f64 1/2 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (pow.f64 ky 7) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky)))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (+.f64 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 5) (-.f64 (.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4)))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 3)) (sin.f64 ky)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4))))) (/.f64 (pow.f64 ky 7) (sin.f64 ky)))))))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))))
(fma.f64 -1 (/.f64 (sin.f64 ky) ky) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 3)) (sin.f64 ky))) (/.f64 (sin.f64 ky) ky))
(+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5)))))
(fma.f64 -1 (/.f64 (sin.f64 ky) ky) (.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky))) (/.f64 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (/.f64 (pow.f64 ky 5) (sin.f64 ky))))))
(-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 3)) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 5) (-.f64 (*.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4)))))) (/.f64 (sin.f64 ky) ky))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky)) (pow.f64 ky 7))) (+.f64 (.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 ky)) (pow.f64 ky 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 (.f64 1/2 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (pow.f64 ky 7) (sin.f64 ky))) (fma.f64 -1 (/.f64 (sin.f64 ky) ky) (.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 3) (sin.f64 ky))) (/.f64 (fma.f64 -1 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) 2)) (/.f64 (pow.f64 ky 5) (sin.f64 ky)))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4))))) (/.f64 (pow.f64 ky 7) (sin.f64 ky))) (-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 3)) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 5) (-.f64 (.f64 (pow.f64 (sin.f64 kx) 4) 1/4) (pow.f64 (sin.f64 kx) 4)))))) (/.f64 (sin.f64 ky) ky)))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (.f64 -1/2 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 3) (.f64 kx kx)))))
(+.f64 (/.f64 (sin.f64 ky) ky) (/.f64 (.f64 (.f64 -1/2 (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (fma.f64 -1/2 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 3) (.f64 kx kx))) (.f64 1/2 (.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 ky) (pow.f64 ky 3)) (.f64 kx kx)) (.f64 (+.f64 (/.f64 1 (pow.f64 ky 6)) (-.f64 (/.f64 1/3 (pow.f64 ky 4)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 (.f64 ky (.f64 (pow.f64 kx 4) (sin.f64 ky))) 1/2))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2))) (+.f64 (.f64 2/45 (/.f64 1 (pow.f64 ky 4))) (.f64 2/3 (/.f64 1 (pow.f64 ky 6)))))) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 6))))) (.f64 1/2 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky)))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (fma.f64 -1/2 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 3) (.f64 kx kx))) (fma.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 ky ky)) (+.f64 (/.f64 2/45 (pow.f64 ky 4)) (/.f64 2/3 (pow.f64 ky 6))))) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 6)))) (.f64 1/2 (.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4))))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 ky) (pow.f64 ky 3)) (.f64 kx kx)) (fma.f64 -1/2 (.f64 (sin.f64 ky) (.f64 (.f64 ky (pow.f64 kx 6)) (+.f64 (/.f64 1 (pow.f64 ky 8)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 ky 6)) (-.f64 (/.f64 1/3 (pow.f64 ky 4)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 ky ky)) (+.f64 (/.f64 2/45 (pow.f64 ky 4)) (/.f64 2/3 (pow.f64 ky 6))))))) (.f64 (+.f64 (/.f64 1 (pow.f64 ky 6)) (-.f64 (/.f64 1/3 (pow.f64 ky 4)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (.f64 (.f64 ky (.f64 (pow.f64 kx 4) (sin.f64 ky))) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))
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(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2))))))
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(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky))) 1)
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (hypot.f64 (sin.f64 kx) ky) 1)
(hypot.f64 (sin.f64 kx) ky)
(*.f64 1 (hypot.f64 (sin.f64 kx) ky))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 4))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) ky))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 4)) (pow.f64 (*.f64 (sin.f64 kx) ky) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 6))) (sqrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 ky (sin.f64 kx)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 6))) (sqrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 ky (sin.f64 kx)) 2)))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 4)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (.f64 ky ky))))
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(/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (*.f64 ky (sin.f64 kx)) 2)))) (cbrt.f64 (+.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 6)))))
(.f64 (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (.f64 ky (sin.f64 kx)) 2))))) (cbrt.f64 (+.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 6))))
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))))
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))))
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))))
(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1) (neg.f64 (hypot.f64 (sin.f64 kx) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (.f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))))
(/.f64 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (neg.f64 (sin.f64 ky))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (*.f64 (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)))) (/.f64 (neg.f64 (sin.f64 th)) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))) (cbrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 3)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 3) 1/3)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (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 kx) ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) 3))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))) 1))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) ky))

eval531.0ms (0.4%)

Compiler: Compiled 31881 to 13069 computations (59% saved)

prune437.0ms (0.3%)

Pruning

57 alts after pruning (52 fresh and 5 done)

	Pruned	Kept	Total
New	1188	35	1223
Fresh	4	17	21
Picked	1	0	1
Done	1	5	6
Total	1194	57	1251

Error

Counts

1251 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	56.2b	(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 kx) ky)) 2)
	0.3b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	28.0b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (sin.f64 ky)))
	46.7b	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
	56.2b	(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 1 (hypot.f64 (sin.f64 kx) ky))) 2)
	53.3b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
	55.0b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	53.0b	(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
▶	52.8b	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
✓	3.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	32.3b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	54.1b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	47.1b	(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	29.0b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
	46.7b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	48.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	56.9b	(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
	0.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
	1.2b	(/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (sin.f64 th)))
	29.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	28.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
	49.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	46.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	31.4b	(/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)))
▶	56.9b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
	48.3b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	31.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	57.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) ky)
	46.7b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	48.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	52.2b	(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	8.3b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
▶	43.9b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	46.7b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	53.2b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	56.9b	(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
	56.9b	(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
▶	54.1b	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	3.6b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
	58.0b	(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)) (sin.f64 th))
	28.1b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (sin.f64 th))
	46.7b	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	47.0b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
	28.0b	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
	58.0b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	18.1b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
	55.5b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
	47.1b	(*.f64 (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	47.6b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
✓	49.2b	(sin.f64 th)
	47.2b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	38.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	48.8b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 1474 to 1031 computations (30.1% saved)

localize26.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite103.0ms (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

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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))))))))

simplify215.0ms (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))

localize20.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite126.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`*-commutative`
896×	`associate-*r/`
822×	`associate-/r*`
728×	`unswap-sqr`
636×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	32
2	2566	32

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 kx (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 kx (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 kx (*.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 kx (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (/.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 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 kx (*.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.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 kx (sin.f64 ky)) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 kx 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 ky)) (/.f64 (neg.f64 kx) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 kx (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 kx (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))) (/.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 kx (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 ky) kx))) (sqrt.f64 (/.f64 kx (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (/.f64 kx (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 kx)) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 kx) 2) (sin.f64 th))) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 th))) (/.f64 kx (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) (sqrt.f64 kx)) (/.f64 (sqrt.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 kx 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 kx (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) 1)) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 kx))) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 kx) 2))) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) -1) (/.f64 kx (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 kx))) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 (cbrt.f64 kx) 2) (sin.f64 th)))) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sqrt.f64 kx))) (sqrt.f64 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simplify127.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1550×	`unswap-sqr`
960×	`associate-/l*`
594×	`associate-/l/`
572×	`distribute-frac-neg`
508×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	5369
1	1103	5267
2	4532	5249

Stop Event

1×	node limit

Counts

199 → 253

Calls

Call 1

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

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

localize17.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 ky (sin.f64 th))
✓	0.6b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series10.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	ky	@	inf	(/.f64 ky (sin.f64 th))
1.0ms	ky	@	inf	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
1.0ms	th	@	inf	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
1.0ms	th	@	-inf	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
1.0ms	th	@	0	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))

rewrite132.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`associate-*r/`
1016×	`*-commutative`
964×	`associate-*l/`
626×	`swap-sqr`
570×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	213	32
2	3100	32

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (sin.f64 th) ky)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 0 (/.f64 (sin.f64 th) ky))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (/.f64 (sin.f64 th) ky)) 0) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (/.f64 (sin.f64 th) ky)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (/.f64 (sin.f64 th) ky)) (*.f64 0 (/.f64 (sin.f64 th) ky))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 th) ky) 0) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (sin.f64 th) ky)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))))) (#(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) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) 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(/.f64 (sin.f64 th) ky))) 2) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) ky) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky)) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky)) (neg.f64 (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) ky)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule 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egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 th) ky))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))) (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)))))) (#(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) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 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(sqrt.f64 (sin.f64 ky)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (neg.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 ky (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 ky (sin.f64 th)))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) ky) (*.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) ky) (neg.f64 (*.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) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky)) (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) ky)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 ky (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.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 ky (sin.f64 th)))) (neg.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 ky (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 ky (sin.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.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 ky (sin.f64 th))) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (/.f64 (sin.f64 th) ky))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (neg.f64 ky)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) -1) (/.f64 (sin.f64 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1) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) ky) 1) (/.f64 (sin.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) ky) -1) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) ky) (/.f64 1 (sqrt.f64 (sin.f64 th)))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 ky) ky) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 ky (*.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 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(*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) ky)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 ky (sin.f64 th))))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -1 (sqrt.f64 (/.f64 (sin.f64 th) ky)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))) (*.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 th) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 ky (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ky (neg.f64 (/.f64 -1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 ky (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 ky (sin.f64 th))) (sqrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 ky (sin.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 ky (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 ky) (/.f64 (sqrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 ky) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2) (cbrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 ky) 2) (/.f64 (cbrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 th)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 ky) (/.f64 -1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))) (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) (sin.f64 th)) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) (sin.f64 th)) (/.f64 (sqrt.f64 ky) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 ky) (sin.f64 th)) (/.f64 (pow.f64 (cbrt.f64 ky) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 th))) (/.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 ky (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (sqrt.f64 (sin.f64 th))) (/.f64 1 (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 ky (cbrt.f64 (sin.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 ky (sin.f64 th)))) (neg.f64 (sqrt.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)) (neg.f64 (cbrt.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 th)) (neg.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) 1) (/.f64 (sqrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sqrt.f64 ky) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 ky) (cbrt.f64 (sin.f64 th))) (/.f64 (sqrt.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 ky) 2) 1) (/.f64 (cbrt.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 ky) 2) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 ky) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 ky) (sqrt.f64 (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 ky) 2) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 ky) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 th) (sqrt.f64 ky))) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 ky) 2))) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 ky)) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))) (cbrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 ky) 2) (sin.f64 th)) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))) (sqrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))) (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))))) (cbrt.f64 (/.f64 (neg.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 ky (sin.f64 th))))) (sqrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))) (cbrt.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 ky (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 ky (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 ky (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) ky) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 ky) (sin.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 ky (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 ky (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 ky (sin.f64 th))))))))

simplify130.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1688×	`distribute-rgt-in`
1668×	`distribute-lft-in`
680×	`*-commutative`
664×	`associate-r`
566×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	5403
1	1289	5289
2	5114	5287

Stop Event

1×	node limit

Counts

215 → 256

Calls

Call 1

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

Outputs
(*.f64 -1 (sin.f64 th))
(neg.f64 (sin.f64 th))
(+.f64 (.f64 -1 (sin.f64 th)) (.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))
(fma.f64 -1 (sin.f64 th) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 ky ky))))
(-.f64 (.f64 (sin.f64 th) (.f64 (*.f64 ky ky) 1/6)) (sin.f64 th))
(-.f64 (.f64 (.f64 ky ky) (*.f64 (sin.f64 th) 1/6)) (sin.f64 th))
(+.f64 (.f64 -1 (sin.f64 th)) (+.f64 (.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4))) (.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2)))))
(fma.f64 -1 (sin.f64 th) (fma.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4)) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky ky)))))
(-.f64 (fma.f64 (.f64 (sin.f64 th) -1/120) (pow.f64 ky 4) (.f64 (sin.f64 th) (.f64 (.f64 ky ky) 1/6))) (sin.f64 th))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 th) (.f64 ky ky)) (.f64 (sin.f64 th) (.f64 (pow.f64 ky 4) -1/120))) (sin.f64 th))
(+.f64 (.f64 -1 (sin.f64 th)) (+.f64 (.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4))) (+.f64 (.f64 1/5040 (.f64 (sin.f64 th) (pow.f64 ky 6))) (.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))))
(fma.f64 -1 (sin.f64 th) (fma.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4)) (fma.f64 1/5040 (.f64 (sin.f64 th) (pow.f64 ky 6)) (.f64 1/6 (.f64 (sin.f64 th) (*.f64 ky ky))))))
(-.f64 (fma.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4)) (fma.f64 1/5040 (.f64 (sin.f64 th) (pow.f64 ky 6)) (.f64 (sin.f64 th) (.f64 (*.f64 ky ky) 1/6)))) (sin.f64 th))
(-.f64 (fma.f64 -1/120 (.f64 (sin.f64 th) (pow.f64 ky 4)) (fma.f64 1/5040 (.f64 (sin.f64 th) (pow.f64 ky 6)) (.f64 (.f64 ky ky) (*.f64 (sin.f64 th) 1/6)))) (sin.f64 th))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th)))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky)))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th))))
(-.f64 (.f64 1/6 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky))) (*.f64 (sin.f64 ky) (/.f64 th ky)))
(-.f64 (/.f64 1/6 (/.f64 ky (.f64 (sin.f64 ky) (pow.f64 th 3)))) (.f64 (sin.f64 ky) (/.f64 th ky)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (.f64 -1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (fma.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th)))))
(fma.f64 1/6 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky)) (-.f64 (.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5)))) (*.f64 (sin.f64 ky) (/.f64 th ky))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky)) (/.f64 -1/120 (/.f64 ky (.f64 (sin.f64 ky) (pow.f64 th 5))))) (*.f64 (sin.f64 ky) (/.f64 th ky)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (.f64 -1/120 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) ky)) (.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky)))))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (fma.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5))) (fma.f64 1/5040 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 7))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th))))))
(fma.f64 1/6 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky)) (-.f64 (fma.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5))) (.f64 1/5040 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 7) ky)))) (.f64 (sin.f64 ky) (/.f64 th ky))))
(fma.f64 1/6 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky)) (-.f64 (fma.f64 -1/120 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 5) ky)) (.f64 1/5040 (.f64 (sin.f64 ky) (/.f64 (pow.f64 th 7) ky)))) (*.f64 (sin.f64 ky) (/.f64 th ky))))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(/.f64 ky th)
(+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th))
(fma.f64 1/6 (*.f64 th ky) (/.f64 ky th))
(+.f64 (.f64 1/6 (.f64 th ky)) (+.f64 (/.f64 ky th) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 ky) (.f64 1/120 ky)) (pow.f64 th 3)))))
(+.f64 (fma.f64 1/6 (.f64 th ky) (/.f64 ky th)) (neg.f64 (.f64 (pow.f64 th 3) (*.f64 ky -7/360))))
(fma.f64 1/6 (.f64 th ky) (-.f64 (/.f64 ky th) (.f64 (pow.f64 th 3) (*.f64 ky -7/360))))
(-.f64 (fma.f64 1/6 (.f64 th ky) (/.f64 ky th)) (.f64 (pow.f64 th 3) (*.f64 ky -7/360)))
(+.f64 (.f64 1/6 (.f64 th ky)) (+.f64 (/.f64 ky th) (+.f64 (.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 th 5))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 ky) (*.f64 1/120 ky)) (pow.f64 th 3))))))
(+.f64 (fma.f64 1/6 (.f64 th ky) (/.f64 ky th)) (fma.f64 -1 (.f64 (pow.f64 th 5) (fma.f64 1/6 (.f64 ky -7/360) (.f64 ky 1/840))) (neg.f64 (.f64 (pow.f64 th 3) (.f64 ky -7/360)))))
(fma.f64 1/6 (.f64 th ky) (fma.f64 -1 (fma.f64 (pow.f64 th 5) (fma.f64 ky 1/840 (.f64 ky -7/2160)) (.f64 (pow.f64 th 3) (.f64 ky -7/360))) (/.f64 ky th)))
(fma.f64 1/6 (.f64 th ky) (-.f64 (/.f64 ky th) (fma.f64 (pow.f64 th 5) (fma.f64 ky 1/840 (.f64 ky -7/2160)) (.f64 (pow.f64 th 3) (.f64 ky -7/360)))))
(+.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 0 (/.f64 (sin.f64 th) ky)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))) 1)
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(+.f64 (-.f64 0 (.f64 0 (/.f64 (sin.f64 th) ky))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (-.f64 (.f64 0 (/.f64 (sin.f64 th) ky)) 0) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (-.f64 (.f64 0 (/.f64 (sin.f64 th) ky)) (exp.f64 (log1p.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))) 1)
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(+.f64 (-.f64 (.f64 0 (/.f64 (sin.f64 th) ky)) (.f64 0 (/.f64 (sin.f64 th) ky))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 (/.f64 (sin.f64 th) ky) 0) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(-.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(-.f64 (.f64 0 (/.f64 (sin.f64 th) ky)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) -1)
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 1 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (sqrt.f64 (sin.f64 ky)) (neg.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 (cbrt.f64 (sin.f64 th)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 ky) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (neg.f64 (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 ky (sin.f64 th))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) 2)))
(*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (neg.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
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(/.f64 ky (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) ky) -1)
(/.f64 ky (sin.f64 th))
(neg.f64 (/.f64 (neg.f64 ky) (sin.f64 th)))
(/.f64 ky (sin.f64 th))
(neg.f64 (/.f64 (/.f64 (neg.f64 ky) (sin.f64 th)) 1))
(/.f64 ky (sin.f64 th))
(sqrt.f64 (pow.f64 (/.f64 ky (sin.f64 th)) 2))
(fabs.f64 (/.f64 ky (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 ky (sin.f64 th))))
(/.f64 ky (sin.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 ky (sin.f64 th)))))
(/.f64 ky (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 ky (sin.f64 th)) 3))
(/.f64 ky (sin.f64 th))
(cbrt.f64 (/.f64 (pow.f64 ky 3) (pow.f64 (sin.f64 th) 3)))
(/.f64 ky (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 ky (sin.f64 th))))
(/.f64 ky (sin.f64 th))
(exp.f64 (log.f64 (/.f64 ky (sin.f64 th))))
(/.f64 ky (sin.f64 th))
(log1p.f64 (expm1.f64 (/.f64 ky (sin.f64 th))))
(/.f64 ky (sin.f64 th))

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 kx kx) (.f64 ky ky))
✓	0.1b	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
✓	0.1b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	28.3b	(sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))

Compiler

Compiled 56 to 11 computations (80.4% saved)

series46.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
20.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
9.0ms	th	@	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
6.0ms	kx	@	inf	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
1.0ms	ky	@	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
1.0ms	kx	@	inf	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))

rewrite190.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-*r/`
1260×	`associate-*l/`
1060×	`associate-/r*`
752×	`associate-/l*`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	293	64
2	3913	64

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

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

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

simplify306.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-r`
1148×	`associate-/r*`
1002×	`associate-l`
984×	`*-commutative`
774×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	989	18983
1	2668	18949

Stop Event

1×	node limit

Counts

395 → 575

Calls

Call 1

Inputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(*.f64 -1 kx)
(+.f64 (.f64 -1 kx) (.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (.f64 -1 kx) (.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(*.f64 -1 ky)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (.f64 -1 ky))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (*.f64 -1 ky)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 -1 ky) (.f64 -1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3)))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 1/2 (.f64 (sin.f64 th) (.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 kx 8)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) (pow.f64 kx 2)))) (.f64 (sin.f64 th) kx))) (+.f64 (.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (+.f64 (.f64 -1/5040 (/.f64 (sin.f64 th) kx)) (.f64 -1/12 (.f64 (sin.f64 th) (.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 1/2 (.f64 (sin.f64 th) (.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6)))) (pow.f64 ky 7))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky)) (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6)))) (pow.f64 ky 7))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2)))) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 6)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (+.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 1/2 (.f64 (pow.f64 ky 2) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6)))) (pow.f64 kx 7))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx)) (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (.f64 1/2 (/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 (.f64 1/2 (.f64 (pow.f64 ky 2) (+.f64 (.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6)))) (pow.f64 kx 7))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (.f64 (sin.f64 ky) th))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (.f64 (sin.f64 ky) th))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (.f64 1/120 (.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (.f64 (sin.f64 ky) th)) (.f64 -1/5040 (.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(/.f64 ky kx)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 1 kx)) (.f64 1/2 (/.f64 1 (pow.f64 kx 3)))) (pow.f64 ky 3))) (/.f64 ky kx))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 1 kx)) (.f64 1/2 (/.f64 1 (pow.f64 kx 3)))) (pow.f64 ky 3))) (+.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 1 kx)) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx)) (*.f64 1/12 (/.f64 1 (pow.f64 kx 3))))) (pow.f64 ky 5)) (/.f64 ky kx)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky)))
(.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (/.f64 1 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(.f64 (.f64 (hypot.f64 kx ky) (sqrt.f64 (hypot.f64 kx ky))) (sqrt.f64 (hypot.f64 kx ky)))
(.f64 (.f64 (hypot.f64 kx ky) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (cbrt.f64 (hypot.f64 kx ky)))
(/.f64 (pow.f64 (hypot.f64 kx ky) 2) (/.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)) (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 kx ky) 2)))
(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2))))
(/.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))) (/.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))) (pow.f64 (hypot.f64 kx ky) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (/.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2))) (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (/.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)) (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))) (/.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (/.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky)) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))))
(/.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) (-.f64 (.f64 ky ky) (.f64 kx kx)))
(/.f64 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (neg.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (neg.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2)))))
(/.f64 (.f64 (hypot.f64 kx ky) (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (hypot.f64 kx ky) (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 1 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4))) (-.f64 (.f64 ky ky) (*.f64 kx kx)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (neg.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))) (neg.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) 1) (-.f64 (.f64 kx kx) (*.f64 ky ky)))
(/.f64 (.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) 1) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) 1) (-.f64 (.f64 ky ky) (*.f64 kx kx)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) 1) (neg.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) 1) (neg.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (hypot.f64 kx ky)) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (hypot.f64 kx ky)) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2)) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2)) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 kx 4) (pow.f64 kx 4)) (.f64 (pow.f64 ky 4) (pow.f64 ky 4))) (/.f64 1 (-.f64 (.f64 kx kx) (*.f64 ky ky)))) (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 kx 4) 3) (pow.f64 (pow.f64 ky 4) 3)) (/.f64 1 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (+.f64 (+.f64 (.f64 (pow.f64 kx 4) (pow.f64 kx 4)) (.f64 (pow.f64 ky 4) (pow.f64 ky 4))) (.f64 (pow.f64 kx 4) (pow.f64 ky 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 kx 6) (pow.f64 kx 6)) (.f64 (pow.f64 ky 6) (pow.f64 ky 6))) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (-.f64 (pow.f64 kx 6) (pow.f64 ky 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 kx 6) 3) (pow.f64 (pow.f64 ky 6) 3)) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (-.f64 (+.f64 (.f64 (pow.f64 kx 6) (pow.f64 kx 6)) (.f64 (pow.f64 ky 6) (pow.f64 ky 6))) (*.f64 (pow.f64 kx 6) (pow.f64 ky 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) 1) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (sqrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (sqrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (+.f64 kx ky)) (-.f64 kx ky))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) 1) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 1)
(pow.f64 (hypot.f64 kx ky) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2) 1/2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 kx ky) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(fma.f64 kx kx (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(fma.f64 1 (.f64 kx kx) (.f64 ky ky))
(fma.f64 1 (.f64 ky ky) (.f64 kx kx))
(fma.f64 (cbrt.f64 (pow.f64 kx 4)) (pow.f64 (cbrt.f64 kx) 2) (*.f64 ky ky))
(fma.f64 (cbrt.f64 (pow.f64 ky 4)) (pow.f64 (cbrt.f64 ky) 2) (*.f64 kx kx))

Outputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) kx)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(*.f64 -1 kx)
(neg.f64 kx)
(+.f64 (.f64 -1 kx) (.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))
(fma.f64 -1 kx (.f64 (/.f64 (.f64 ky ky) kx) -1/2))
(fma.f64 -1 kx (/.f64 (.f64 ky (.f64 ky -1/2)) kx))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx))))
(fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (.f64 (/.f64 (.f64 ky ky) kx) -1/2)))
(fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (/.f64 (.f64 ky (.f64 ky -1/2)) kx)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (.f64 -1 kx) (.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))))
(fma.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (.f64 (/.f64 (.f64 ky ky) kx) -1/2))))
(fma.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (/.f64 (.f64 ky (.f64 ky -1/2)) kx))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) kx)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)))
(*.f64 -1 ky)
(neg.f64 ky)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (.f64 -1 ky))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) ky) (neg.f64 ky))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (*.f64 -1 ky)))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) ky) (fma.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (neg.f64 ky)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (.f64 -1 ky) (.f64 -1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))))))
(fma.f64 -1/2 (/.f64 (.f64 kx kx) ky) (fma.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 -1 ky (.f64 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) -1/16))))
(/.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 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (.f64 (pow.f64 ky 3) (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (.f64 -1/6 (/.f64 (sin.f64 th) kx)))))
(+.f64 (.f64 (/.f64 (sin.f64 th) kx) ky) (.f64 (pow.f64 ky 3) (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) kx)))))
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (+.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 1/2 (.f64 (sin.f64 th) (.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))))) (pow.f64 ky 5)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 (fma.f64 1/120 (/.f64 (sin.f64 th) kx) (fma.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (.f64 1/2 (.f64 (sin.f64 th) (.f64 kx (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2))))))) (pow.f64 ky 5) (.f64 (pow.f64 ky 3) (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) kx))))))
(+.f64 (.f64 (/.f64 (sin.f64 th) kx) ky) (fma.f64 (fma.f64 1/120 (/.f64 (sin.f64 th) kx) (fma.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (.f64 1/2 (.f64 kx (.f64 (sin.f64 th) (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2))))))) (pow.f64 ky 5) (.f64 (pow.f64 ky 3) (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (.f64 -1/6 (/.f64 (sin.f64 th) kx))))))
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(/.f64 ky kx)
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3) (pow.f64 (sin.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3) (pow.f64 (sin.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))) 1))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))) 1)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 kx ky)))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 1)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 kx ky))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 kx ky))))
(*.f64 (/.f64 1 (hypot.f64 kx ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 -1 (hypot.f64 kx ky)))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 kx ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 kx ky))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 kx ky))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (sqrt.f64 (hypot.f64 kx ky))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 kx ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
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(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 1)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 3)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3) 1/3)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(pow.f64 (/.f64 (hypot.f64 kx ky) (sin.f64 ky)) -1)
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 kx ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 kx ky)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 1))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))
(/.f64 (sin.f64 ky) (hypot.f64 kx ky))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 kx ky) 2))) 1)
(pow.f64 (hypot.f64 kx ky) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 kx kx))) (-.f64 1 (.f64 ky ky)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 kx kx))) 1) (.f64 ky ky))
(+.f64 -1 (fma.f64 ky ky (exp.f64 (log1p.f64 (*.f64 kx kx)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 ky ky))) (-.f64 1 (.f64 kx kx)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 ky ky))) 1) (.f64 kx kx))
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(-.f64 (/.f64 (pow.f64 kx 4) (-.f64 (.f64 kx kx) (.f64 ky ky))) (/.f64 (pow.f64 ky 4) (-.f64 (.f64 kx kx) (.f64 ky ky))))
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(-.f64 (+.f64 (.f64 kx kx) (exp.f64 (log1p.f64 (.f64 ky ky)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 ky ky))) 1) (.f64 kx kx))
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(-.f64 (+.f64 (.f64 ky ky) (exp.f64 (log1p.f64 (.f64 kx kx)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 kx kx))) 1) (.f64 ky ky))
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(*.f64 (pow.f64 (hypot.f64 kx ky) 2) 1)
(pow.f64 (hypot.f64 kx ky) 2)
(*.f64 (hypot.f64 kx ky) (hypot.f64 kx ky))
(pow.f64 (hypot.f64 kx ky) 2)
(*.f64 1 (pow.f64 (hypot.f64 kx ky) 2))
(pow.f64 (hypot.f64 kx ky) 2)
(.f64 (sqrt.f64 (hypot.f64 kx ky)) (.f64 (sqrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky)))
(pow.f64 (hypot.f64 kx ky) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2))
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(pow.f64 (hypot.f64 kx ky) 2)
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky)))
(pow.f64 (hypot.f64 kx ky) 2)
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(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2))))
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(.f64 (.f64 (hypot.f64 kx ky) (sqrt.f64 (hypot.f64 kx ky))) (sqrt.f64 (hypot.f64 kx ky)))
(pow.f64 (hypot.f64 kx ky) 2)
(.f64 (.f64 (hypot.f64 kx ky) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (cbrt.f64 (hypot.f64 kx ky)))
(pow.f64 (hypot.f64 kx ky) 2)
(/.f64 (pow.f64 (hypot.f64 kx ky) 2) (/.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)) (-.f64 (.f64 kx kx) (.f64 ky ky))))
(pow.f64 (hypot.f64 kx ky) 2)
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(pow.f64 (hypot.f64 kx ky) 2)
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(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2))))) (*.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) 1) (-.f64 (.f64 kx kx) (*.f64 ky ky)))
(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) 1) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) 1) (-.f64 (.f64 ky ky) (*.f64 kx kx)))
(/.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) (-.f64 (.f64 ky ky) (.f64 kx kx)))
(/.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) (*.f64 (+.f64 ky kx) (-.f64 ky kx)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) 1) (neg.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (neg.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) 1) (neg.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (neg.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (neg.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (hypot.f64 kx ky)) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (hypot.f64 kx ky) (/.f64 (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))) (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(.f64 (/.f64 (hypot.f64 kx ky) (sqrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2))))) (sqrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (hypot.f64 kx ky)) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (hypot.f64 kx ky) (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky)))) (hypot.f64 kx ky))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2)) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2))))) (*.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2)) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2)))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2))))) (*.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (.f64 (hypot.f64 kx ky) (cbrt.f64 (hypot.f64 kx ky))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 kx 4) (pow.f64 kx 4)) (.f64 (pow.f64 ky 4) (pow.f64 ky 4))) (/.f64 1 (-.f64 (.f64 kx kx) (*.f64 ky ky)))) (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)))
(/.f64 (-.f64 (pow.f64 kx 8) (pow.f64 ky 8)) (/.f64 (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (/.f64 1 (-.f64 (.f64 kx kx) (.f64 ky ky)))))
(/.f64 (-.f64 (pow.f64 kx 8) (pow.f64 ky 8)) (.f64 (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 kx 4) 3) (pow.f64 (pow.f64 ky 4) 3)) (/.f64 1 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (+.f64 (+.f64 (.f64 (pow.f64 kx 4) (pow.f64 kx 4)) (.f64 (pow.f64 ky 4) (pow.f64 ky 4))) (.f64 (pow.f64 kx 4) (pow.f64 ky 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 kx 4) 3) (pow.f64 (pow.f64 ky 4) 3)) (/.f64 (+.f64 (pow.f64 kx 8) (+.f64 (pow.f64 ky 8) (.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (/.f64 1 (-.f64 (.f64 kx kx) (*.f64 ky ky)))))
(.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 kx 4) 3) (pow.f64 (pow.f64 ky 4) 3)) (+.f64 (+.f64 (pow.f64 kx 8) (pow.f64 ky 8)) (.f64 (pow.f64 kx 4) (pow.f64 ky 4)))) (/.f64 (/.f64 1 (+.f64 ky kx)) (-.f64 kx ky)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 kx 6) (pow.f64 kx 6)) (.f64 (pow.f64 ky 6) (pow.f64 ky 6))) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (-.f64 (pow.f64 kx 6) (pow.f64 ky 6)))
(/.f64 (-.f64 (pow.f64 kx 12) (pow.f64 ky 12)) (/.f64 (-.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2))))))
(/.f64 (-.f64 (pow.f64 kx 12) (pow.f64 ky 12)) (.f64 (-.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 kx 6) 3) (pow.f64 (pow.f64 ky 6) 3)) (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (-.f64 (+.f64 (.f64 (pow.f64 kx 6) (pow.f64 kx 6)) (.f64 (pow.f64 ky 6) (pow.f64 ky 6))) (*.f64 (pow.f64 kx 6) (pow.f64 ky 6))))
(/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 ky kx) 2)))) (+.f64 (pow.f64 (pow.f64 kx 6) 3) (pow.f64 (pow.f64 ky 6) 3))) (-.f64 (+.f64 (pow.f64 kx 12) (pow.f64 ky 12)) (*.f64 (pow.f64 kx 6) (pow.f64 ky 6))))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 kx 6) 3) (pow.f64 (pow.f64 ky 6) 3)) (+.f64 (pow.f64 kx 12) (-.f64 (pow.f64 ky 12) (.f64 (pow.f64 kx 6) (pow.f64 ky 6))))) (/.f64 1 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) 1) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (sqrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (sqrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (.f64 (sqrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (sqrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky)))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))))) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky)))) (.f64 (cbrt.f64 (-.f64 (.f64 kx kx) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 kx kx) (*.f64 ky ky)))))
(/.f64 (/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (+.f64 kx ky)) (-.f64 kx ky))
(/.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (.f64 kx kx) (.f64 ky ky)))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) 1) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 kx ky) 2))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2))))) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 ky kx) 2)))) (sqrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2))))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (sqrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2)))) (sqrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 kx ky) 2)))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 ky kx) 2)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (.f64 ky kx) 2)))) (cbrt.f64 (+.f64 (pow.f64 kx 4) (-.f64 (pow.f64 ky 4) (pow.f64 (*.f64 ky kx) 2)))))))
(/.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (.f64 ky kx) 2)))) (cbrt.f64 (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 ky kx) 2)))))))
(pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 1)
(pow.f64 (hypot.f64 kx ky) 2)
(pow.f64 (hypot.f64 kx ky) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 3)
(pow.f64 (hypot.f64 kx ky) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2) 1/2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3) 1/3)
(pow.f64 (hypot.f64 kx ky) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(pow.f64 (hypot.f64 kx ky) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2))))
(pow.f64 (hypot.f64 kx ky) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3))
(pow.f64 (hypot.f64 kx ky) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(pow.f64 (hypot.f64 kx ky) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(pow.f64 (hypot.f64 kx ky) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 kx ky) 2)) 1))
(pow.f64 (hypot.f64 kx ky) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2)))
(pow.f64 (hypot.f64 kx ky) 2)
(fma.f64 kx kx (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(fma.f64 ky ky (*.f64 kx kx))
(fma.f64 1 (.f64 kx kx) (.f64 ky ky))
(fma.f64 1 (.f64 ky ky) (.f64 kx kx))
(fma.f64 (cbrt.f64 (pow.f64 kx 4)) (pow.f64 (cbrt.f64 kx) 2) (*.f64 ky ky))
(fma.f64 (cbrt.f64 (pow.f64 ky 4)) (pow.f64 (cbrt.f64 ky) 2) (*.f64 kx kx))

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
	0.1b	(*.f64 (sin.f64 th) ky)
✓	3.3b	(/.f64 (*.f64 kx kx) (sin.f64 ky))
✓	4.0b	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series19.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	ky	@	0	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
2.0ms	ky	@	-inf	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
1.0ms	ky	@	inf	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
1.0ms	th	@	inf	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
1.0ms	th	@	0	(/.f64 (.f64 (sin.f64 th) ky) (fma.f64 1/2 (/.f64 (.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))

rewrite125.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`associate-*l/`
414×	`distribute-lft-neg-in`
390×	`associate-/r/`
372×	`distribute-rgt-in`
332×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	310	91
2	4121	91

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

simplify268.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1410×	`times-frac`
918×	`associate-/r*`
842×	`associate-r`
832×	`associate-/l*`
616×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	501	10587
1	1400	10215
2	7650	10215

Stop Event

1×	node limit

Counts

225 → 252

Calls

Call 1

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

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

eval695.0ms (0.5%)

Compiler: Compiled 37982 to 16050 computations (57.7% saved)

prune517.0ms (0.4%)

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	1592	20	1612
Fresh	19	28	47
Picked	1	0	1
Done	1	8	9
Total	1613	56	1669

Error

Counts

1669 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	28.0b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (sin.f64 ky)))
	46.7b	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
	54.1b	(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
	57.2b	(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
	55.1b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓	3.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	32.3b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	47.1b	(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.3b	(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
✓	0.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	46.7b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	48.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	20.0b	(/.f64 (sin.f64 th) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
	0.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
	29.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	28.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
	41.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))
	49.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	46.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	55.6b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	31.4b	(/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)))
✓	56.9b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
	58.5b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
	58.1b	(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
	48.3b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
▶	31.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	44.5b	(/.f64 1 (/.f64 (hypot.f64 kx ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	46.7b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
▶	48.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	56.9b	(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
	54.3b	(*.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))
	8.3b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓	43.9b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	46.7b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	53.2b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	52.8b	(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
	55.6b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
	54.4b	(*.f64 (/.f64 ky kx) (sin.f64 th))
	53.3b	(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
	28.1b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (sin.f64 th))
	46.7b	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	51.8b	(.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (.f64 kx kx)))) (*.f64 th (sin.f64 ky)))
	28.0b	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
	55.5b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
	47.1b	(*.f64 (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	47.6b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
	54.4b	(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
✓	49.2b	(sin.f64 th)
▶	49.5b	(neg.f64 (sin.f64 th))
	38.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	48.8b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 1320 to 927 computations (29.8% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 14 computations (71.4% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-*r/`
1222×	`associate-/l*`
1186×	`associate-*l/`
426×	`associate-/r/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	290	60
2	3662	60

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-r`
776×	`associate-/l*`
754×	`*-commutative`
720×	`associate-+r+`
712×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	16239
1	1755	14047
2	7109	14047

Stop Event

1×	node limit

Counts

251 → 294

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))))))
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1
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(/.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1/2) (/.f64 (sqrt.f64 (/.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)))) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) -1/2) (/.f64 (sqrt.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)))) -1/2)))
(/.f64 (pow.f64 (sin.f64 ky) -1) (/.f64 1 (pow.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1)))
(/.f64 (*.f64 1 (/.f64 1 (sin.f64 ky))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 1 (/.f64 1 (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 (/.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))) 1) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2) 1) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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 (neg.f64 (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 (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 (cbrt.f64 (pow.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 1 (sin.f64 ky)) 1) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (/.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)) (sqrt.f64 (sin.f64 ky))) 1) (sqrt.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 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 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))) 1)
(/.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -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 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (log.f64 (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 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (.f64 (/.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 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (.f64 (+.f64 (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 (.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (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)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin.f64 th)
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(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (.f64 kx kx)) (sin.f64 th))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 (sin.f64 kx) ky)
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1
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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 (sin.f64 th) (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)) (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 (/.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 (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))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
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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 (sin.f64 th) (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)))
(*.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))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 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 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 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))))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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)))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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 (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))) (/.f64 (sqrt.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))
(/.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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (*.f64 (cbrt.f64 (pow.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))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (/.f64 (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 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -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 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (log.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))
(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 9 to 5 computations (44.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
884×	`associate-*r/`
826×	`associate-/r*`
728×	`unswap-sqr`
628×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	201	36
2	2560	36

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-/l*`
810×	`distribute-rgt-in`
810×	`distribute-lft-in`
618×	`associate-/l/`
464×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	6208
1	1205	6044
2	5112	5964

Stop Event

1×	node limit

Counts

206 → 255

Calls

Call 1

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

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

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	3.4b	(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`associate-/r*`
1128×	`associate-/l*`
1082×	`*-commutative`
866×	`associate-*r/`
680×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	222	27
2	2850	27

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1646×	`associate-/r*`
804×	`associate-/r/`
676×	`distribute-rgt-in`
674×	`distribute-lft-in`
636×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	257	5132
1	708	5030
2	2770	5030

Stop Event

1×	node limit

Counts

102 → 116

Calls

Call 1

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

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

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sin.f64 kx) ky)
	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	0.6b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	3.4b	(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series24.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	th	@	inf	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
4.0ms	ky	@	inf	(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms	ky	@	0	(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms	kx	@	0	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-*l/`
1370×	`associate-/l*`
498×	`associate-/r/`
314×	`distribute-lft-in`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	289	73
2	3773	73

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1164×	`times-frac`
1110×	`associate-r`
1092×	`associate-/l*`
930×	`associate-/r*`
888×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	14214
1	1974	13908

Stop Event

1×	node limit

Counts

250 → 360

Calls

Call 1

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

Outputs
(/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))
(fma.f64 1/2 (/.f64 (.f64 kx kx) (.f64 (sin.f64 th) (.f64 ky (sin.f64 ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))
(fma.f64 1/2 (.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 kx ky)) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 1/2 (/.f64 (.f64 kx kx) (.f64 (sin.f64 th) (.f64 ky (sin.f64 ky)))) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (sin.f64 th)) (/.f64 (pow.f64 kx 4) (.f64 ky (sin.f64 ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 1/2 (.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 kx ky)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (sin.f64 th)) (/.f64 (pow.f64 kx 4) (.f64 ky (sin.f64 ky)))) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))))
(fma.f64 1/2 (/.f64 (.f64 kx kx) (.f64 (sin.f64 th) (.f64 ky (sin.f64 ky)))) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (sin.f64 th)) (/.f64 (pow.f64 kx 4) (.f64 ky (sin.f64 ky)))) (fma.f64 1/2 (.f64 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (.f64 ky ky)))) (sin.f64 th)) (/.f64 (pow.f64 kx 6) (.f64 ky (sin.f64 ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))))
(fma.f64 1/2 (.f64 (/.f64 kx (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 kx ky)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (sin.f64 th)) (/.f64 (pow.f64 kx 4) (.f64 ky (sin.f64 ky)))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 2/45 (.f64 (/.f64 -1/2 ky) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky))) (sin.f64 th)) (/.f64 (pow.f64 kx 6) (.f64 ky (sin.f64 ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) ky (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (+.f64 (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3))) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) ky))))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (fma.f64 -1 (.f64 (+.f64 (/.f64 1/8 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th)))))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) ky (-.f64 (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th))) (.f64 (+.f64 (/.f64 1/8 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3))))
(+.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 kx) 5) (sin.f64 th)))) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))) (+.f64 (.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 1/6 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))) (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))))))))) (pow.f64 ky 5)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (+.f64 (.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (.f64 -1/6 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3))) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) ky)))))
(fma.f64 (-.f64 (/.f64 1/16 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (fma.f64 1/120 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th)) (.f64 (+.f64 (/.f64 1/8 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) 1/6)))) (pow.f64 ky 5) (fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (fma.f64 -1 (.f64 (+.f64 (/.f64 1/8 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th))))))
(fma.f64 (-.f64 (/.f64 1/16 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (fma.f64 1/120 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) (fma.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 1/48 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/6 (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))))))) (pow.f64 ky 5) (fma.f64 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) ky (-.f64 (/.f64 (sin.f64 kx) (.f64 ky (sin.f64 th))) (.f64 (+.f64 (/.f64 1/8 (.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/6)) (.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3)))))
(/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (.f64 ky (sin.f64 ky))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 ky) (.f64 ky (sin.f64 th)))) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 3))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 3)))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (.f64 ky (sin.f64 ky))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (pow.f64 ky 3)))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 ky) (.f64 ky (sin.f64 th)))) (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 5))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (pow.f64 ky 3))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) ky)))) (/.f64 ky (.f64 (sin.f64 th) (sin.f64 ky))))))
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(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (.f64 (sin.f64 th) (sin.f64 ky))))
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(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
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(.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sqrt.f64 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
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(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2))))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.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 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7)))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 7))) (fma.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 5))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2))))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 1/120 (.f64 (sin.f64 ky) (.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))) (.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) ky)) ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (.f64 kx kx) ky) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (*.f64 ky ky)))) (/.f64 ky (pow.f64 kx 6))) ky)))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) (fma.f64 1/2 (/.f64 (-.f64 2/45 (.f64 (/.f64 -1/2 ky) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky))) (/.f64 ky (pow.f64 kx 6))) ky)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 ky 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) 2)))
(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 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx)))
(fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (/.f64 (.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))) (.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 (sin.f64 kx) 5))))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) ky)
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) ky)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) ky))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5)) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) ky)))
(*.f64 -1 ky)
(neg.f64 ky)
(+.f64 (.f64 -1 ky) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)))
(fma.f64 -1 ky (/.f64 (*.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) ky))
(-.f64 (/.f64 -1/2 (/.f64 ky (pow.f64 (sin.f64 kx) 2))) ky)
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)))))
(fma.f64 -1 ky (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (/.f64 (*.f64 1/8 (pow.f64 (sin.f64 kx) 4)) (pow.f64 ky 3))) ky)
(+.f64 (.f64 -1 ky) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3))) (.f64 -1/16 (/.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 ky 5))))))
(fma.f64 -1 ky (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) (/.f64 (*.f64 -1/16 (pow.f64 (sin.f64 kx) 6)) (pow.f64 ky 5)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) ky) (fma.f64 1/8 (/.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 ky 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 6) -1/16) (pow.f64 ky 5)))) ky)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))))) 1)
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (hypot.f64 (sin.f64 kx) ky) (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th))) 1)
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 1 (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th))))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th)))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))) 2))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th)))) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 kx) ky))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 -1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (neg.f64 (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) 1) (/.f64 1 (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 1 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky)))) (sqrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) 2)) (/.f64 (hypot.f64 (sin.f64 kx) ky) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2)) (/.f64 (hypot.f64 (sin.f64 kx) ky) (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) 2))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) 2)
(*.f64 2 (/.f64 (hypot.f64 (sin.f64 kx) ky) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(.f64 (/.f64 1 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (.f64 (hypot.f64 (sin.f64 kx) ky) 2))
(*.f64 2 (/.f64 (hypot.f64 (sin.f64 kx) ky) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(.f64 (/.f64 1 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))) (neg.f64 (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))) 2)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))) 3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) 3) 1/3)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) (sin.f64 th))) -2))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) (sin.f64 ky))) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) 3))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) ky) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (hypot.f64 (sin.f64 kx) ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (log.f64 (hypot.f64 (sin.f64 kx) ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) ky))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 ky) (sin.f64 th)))) -1))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))) 1))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky))) 1)
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (hypot.f64 (sin.f64 kx) ky) 1)
(hypot.f64 (sin.f64 kx) ky)
(*.f64 1 (hypot.f64 (sin.f64 kx) ky))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (hypot.f64 (sin.f64 kx) ky) 1)
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) ky)) 2)
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) ky)) 3)
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2) 1/2)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 3) 1/3)
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 2))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) ky))))
(hypot.f64 (sin.f64 kx) ky)
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) ky) 3))
(hypot.f64 (sin.f64 kx) ky)
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) ky)) 1))
(hypot.f64 (sin.f64 kx) ky)
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) ky)))
(hypot.f64 (sin.f64 kx) ky)

eval436.0ms (0.3%)

Compiler: Compiled 34628 to 14331 computations (58.6% saved)

prune459.0ms (0.3%)

Pruning

66 alts after pruning (55 fresh and 11 done)

	Pruned	Kept	Total
New	1285	18	1303
Fresh	6	37	43
Picked	1	0	1
Done	1	11	12
Total	1293	66	1359

Error

Counts

1359 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	28.0b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 1 (sin.f64 ky)))
	46.7b	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
	54.1b	(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
	57.2b	(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
	55.1b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓	3.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	32.3b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	47.1b	(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	0.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	46.7b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	48.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	0.3b	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	20.0b	(/.f64 (sin.f64 th) (log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
	0.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1))
	29.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	28.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
	41.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))
	49.2b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	46.7b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	55.6b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	31.4b	(/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)))
✓	56.9b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
	58.5b	(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
	58.1b	(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
	59.8b	(/.f64 ky (/.f64 (sin.f64 ky) th))
	48.3b	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	54.2b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	31.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))))
	25.0b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) ky)))
	46.3b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) th)))
	49.1b	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
	47.6b	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	53.3b	(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
	59.3b	(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
✓	0.2b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	28.0b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
	46.7b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
✓	48.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	56.9b	(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
	54.3b	(*.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))
	8.3b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓	43.9b	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	46.7b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	53.2b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	52.8b	(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
	55.6b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
	59.8b	(*.f64 (/.f64 th (sin.f64 ky)) ky)
	54.2b	(*.f64 (/.f64 th (sin.f64 kx)) ky)
	43.9b	(*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	54.2b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	54.4b	(*.f64 (/.f64 ky kx) (sin.f64 th))
	58.4b	(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
	28.1b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky)) (sin.f64 th))
	46.7b	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	55.5b	(*.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
	46.6b	(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
	47.1b	(*.f64 (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	47.6b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
✓	49.2b	(sin.f64 th)
✓	49.5b	(neg.f64 (sin.f64 th))
	38.1b	(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	48.8b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	50.5b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))

Compiler

Compiled 820 to 573 computations (30.1% saved)

regimes515.0ms (0.4%)

Counts

103 → 1

Calls

Call 1

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

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

Calls

9 calls:

83.0ms	(sin.f64 ky)
65.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
51.0ms	ky
47.0ms	th
47.0ms	(sin.f64 th)

Results

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

Compiler

Compiled 1108 to 368 computations (66.8% saved)

regimes749.0ms (0.5%)

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

161.0ms	(sin.f64 kx)
103.0ms	(sin.f64 th)
103.0ms	ky
99.0ms	th
98.0ms	kx

Results

Error	Segments	Branch
22.7b	3	`kx`
14.3b	3	`ky`
11.5b	3	`th`
12.8b	3	`(sin.f64 ky)`
23.3b	3	`(pow.f64 (sin.f64 kx) 2)`
21.4b	5	`(sin.f64 kx)`
11.5b	3	`(sin.f64 th)`

Compiler

Compiled 793 to 257 computations (67.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.090628503317455e-27	3.265048401451205e-22
0.0ms	-0.027373079799976004	-9.045856560898392e-10

Compiler

Compiled 25 to 19 computations (24% saved)

regimes727.0ms (0.5%)

Counts

67 → 3

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (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 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 ky) (/.f64 kx th))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(*.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 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))
(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
(/.f64 1 (/.f64 (hypot.f64 kx ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (.f64 kx kx)))) (*.f64 th (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))

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

Calls

6 calls:

326.0ms	ky
128.0ms	(sin.f64 ky)
118.0ms	th
83.0ms	(sin.f64 th)
30.0ms	kx

Results

Error	Segments	Branch
25.0b	1	`kx`
19.0b	5	`ky`
23.8b	3	`th`
12.8b	3	`(sin.f64 ky)`
25.0b	1	`(sin.f64 kx)`
23.8b	3	`(sin.f64 th)`

Compiler

Compiled 601 to 195 computations (67.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.364793450100771e-7	0.0020022369197130767
0.0ms	-0.01015683211650357	-0.0028256196292805584

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes412.0ms (0.3%)

Counts

64 → 3

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (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 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 ky) (/.f64 kx th))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(*.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 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))
(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
(/.f64 1 (/.f64 (hypot.f64 kx ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (.f64 kx kx)))) (*.f64 th (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

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

Calls

6 calls:

110.0ms	ky
108.0ms	(sin.f64 ky)
34.0ms	(sin.f64 th)
32.0ms	kx
30.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
25.0b	1	`kx`
21.9b	4	`ky`
25.0b	1	`th`
16.1b	3	`(sin.f64 ky)`
25.0b	1	`(sin.f64 kx)`
25.0b	1	`(sin.f64 th)`

Compiler

Compiled 571 to 190 computations (66.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.364793450100771e-7	0.0020022369197130767
0.0ms	-0.22105579333748374	-0.20203328665839831

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes1.5s (1%)

Counts

56 → 5

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (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 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 ky) (/.f64 kx th))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(*.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 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))
(/.f64 (*.f64 ky th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))
(/.f64 1 (/.f64 (hypot.f64 kx ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 ky) th)))

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

Calls

6 calls:

291.0ms	th
291.0ms	kx
283.0ms	(sin.f64 kx)
262.0ms	(sin.f64 th)
187.0ms	ky

Results

Error	Segments	Branch
30.2b	8	`kx`
30.7b	6	`ky`
31.7b	8	`th`
23.7b	5	`(sin.f64 ky)`
27.1b	7	`(sin.f64 kx)`
30.3b	8	`(sin.f64 th)`

Compiler

Compiled 472 to 157 computations (66.7% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.881257063119844e-33	1.633538896281956e-30
0.0ms	-4.386063105723182e-295	-3.1898111246201326e-296
0.0ms	-5.0720614505840315e-139	-2.390084161915881e-141
0.0ms	-1.0953488580515515e-52	-3.9397169730745047e-53

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes1.0s (0.7%)

Counts

48 → 5

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (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 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 ky) (/.f64 kx th))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(*.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 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))

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

Calls

6 calls:

254.0ms	th
167.0ms	ky
160.0ms	kx
153.0ms	(sin.f64 kx)
152.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
32.9b	8	`kx`
31.6b	8	`ky`
35.6b	9	`th`
25.7b	5	`(sin.f64 ky)`
29.8b	7	`(sin.f64 kx)`
35.8b	5	`(sin.f64 th)`

Compiler

Compiled 393 to 132 computations (66.4% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.967846654767939e-119	2.128709057146102e-111
0.0ms	9.788935151680691e-152	1.957475720668351e-147
0.0ms	-4.386063105723182e-295	-3.1898111246201326e-296
0.0ms	-1.7163795620088042e-47	-1.0953488580515515e-52

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes652.0ms (0.4%)

Counts

41 → 3

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (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 th (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 ky (/.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 ky) (/.f64 kx th))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) ky))
(/.f64 (.f64 (sin.f64 th) ky) (.f64 1/2 (/.f64 kx (/.f64 ky kx))))
(/.f64 (neg.f64 (sin.f64 ky)) (+.f64 (.f64 1/6 (.f64 th ky)) (/.f64 ky th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(*.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 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)
(.f64 (/.f64 1 ky) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (/.f64 (sin.f64 th) kx) (/.f64 1 (sin.f64 ky)))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))

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

Calls

6 calls:

154.0ms	ky
148.0ms	th
115.0ms	(sin.f64 th)
92.0ms	(sin.f64 kx)
67.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
37.9b	4	`kx`
34.0b	6	`ky`
42.6b	6	`th`
28.1b	3	`(sin.f64 ky)`
35.8b	4	`(sin.f64 kx)`
42.4b	7	`(sin.f64 th)`

Compiler

Compiled 337 to 122 computations (63.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.788935151680691e-152	1.957475720668351e-147
0.0ms	-1.0953488580515515e-52	-3.9397169730745047e-53

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes408.0ms (0.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

6 calls:

88.0ms	th
86.0ms	ky
76.0ms	(sin.f64 kx)
65.0ms	(sin.f64 th)
53.0ms	kx

Results

Error	Segments	Branch
37.3b	6	`kx`
34.1b	6	`ky`
42.6b	6	`th`
28.2b	3	`(sin.f64 ky)`
37.1b	6	`(sin.f64 kx)`
43.8b	4	`(sin.f64 th)`

Compiler

Compiled 170 to 72 computations (57.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.788935151680691e-152	1.957475720668351e-147
0.0ms	-1.0953488580515515e-52	-3.9397169730745047e-53

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes370.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

6 calls:

93.0ms	kx
87.0ms	(sin.f64 th)
75.0ms	(sin.f64 kx)
43.0ms	th
43.0ms	ky

Results

Error	Segments	Branch
41.6b	7	`kx`
37.4b	6	`ky`
44.0b	6	`th`
31.5b	3	`(sin.f64 ky)`
41.4b	7	`(sin.f64 kx)`
43.7b	5	`(sin.f64 th)`

Compiler

Compiled 135 to 64 computations (52.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.788935151680691e-152	1.957475720668351e-147
0.0ms	-2.7306168402193148e-145	-4.411689505610071e-146

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes84.0ms (0.1%)

Accuracy

Total -19.4b remaining (-45.5%)

Threshold costs -19.4b (-45.5%)

Counts

2 → 5

Calls

Call 1

Inputs
(sin.f64 th)
(neg.f64 (sin.f64 th))

Outputs
(sin.f64 th)
(neg.f64 (sin.f64 th))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(sin.f64 th)

Calls

4 calls:

34.0ms	th
19.0ms	kx
15.0ms	(sin.f64 th)
14.0ms	ky

Results

Error	Segments	Branch
45.6b	6	`kx`
42.6b	5	`ky`
45.6b	4	`th`
45.1b	4	`(sin.f64 th)`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch488.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
136.0ms	3.4470036012423804e+120	9.751320855336252e+126
150.0ms	1.2715588798078733e+80	1.2819902475346383e+87
79.0ms	-5.852675782465641e-307	8.078153934094675e-308
122.0ms	-3.240979742905015e+128	-1.4784115935317044e+117

Results

298.0ms	277×	body	1024	valid
171.0ms	256×	body	512	valid
11.0ms	43×	body	256	valid

Compiler

Compiled 493 to 415 computations (15.8% saved)

simplify30.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
8×	`not-or`
8×	`if-if-or-not`
6×	`not-not`
6×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	811
1	122	811
2	130	811
3	137	807
4	141	807
5	145	807
6	146	807
7	147	807

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 th) ky))) (if (<=.f64 (sin.f64 th) 348449143727041/87112285931760246646623899502532662132736) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 th) ky)))))
(if (<=.f64 (sin.f64 ky) -5764607523034235/576460752303423488) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 944473296573929/4722366482869645213696) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7926335344172073/36028797018963968) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 944473296573929/4722366482869645213696) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) (if (<=.f64 (sin.f64 ky) 7307508186654515/1461501637330902918203684832716283019655932542976) (*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112) (sin.f64 th) (if (<=.f64 ky -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (sin.f64 th)) (if (<=.f64 ky 1149999999999999947807836047370466111267990813274098793659312683541400267263578210304) (sin.f64 th) (if (<=.f64 ky 579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (neg.f64 (sin.f64 th)) (sin.f64 th)))))
(sin.f64 th)

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 th) ky))) (if (<=.f64 (sin.f64 th) 348449143727041/87112285931760246646623899502532662132736) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (.f64 (sin.f64 th) ky)))))
(if (or (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (not (<=.f64 (sin.f64 th) 348449143727041/87112285931760246646623899502532662132736))) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 ky (sin.f64 th)))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)))
(if (<=.f64 (sin.f64 ky) -5764607523034235/576460752303423488) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 944473296573929/4722366482869645213696) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7926335344172073/36028797018963968) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 944473296573929/4722366482869645213696) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 (sin.f64 th) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7926335344172073/36028797018963968) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 944473296573929/4722366482869645213696) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) ky) (*.f64 ky (sin.f64 th)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) (if (<=.f64 (sin.f64 ky) 7307508186654515/1461501637330902918203684832716283019655932542976) (*.f64 (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 th (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 7307508186654515/1461501637330902918203684832716283019655932542976) (*.f64 th (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112) (sin.f64 th) (if (<=.f64 ky -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (sin.f64 th)) (if (<=.f64 ky 1149999999999999947807836047370466111267990813274098793659312683541400267263578210304) (sin.f64 th) (if (<=.f64 ky 579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (neg.f64 (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 ky -1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112) (sin.f64 th) (if (or (<=.f64 ky -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (and (not (<=.f64 ky 1149999999999999947807836047370466111267990813274098793659312683541400267263578210304)) (<=.f64 ky 579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336))) (neg.f64 (sin.f64 th)) (sin.f64 th)))
(sin.f64 th)

Compiler

Compiled 317 to 180 computations (43.2% saved)

soundness123.0ms (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

Compiler

Compiled 81 to 37 computations (54.3% saved)

end155.0ms (0.1%)

Compiler: Compiled 287 to 107 computations (62.7% saved)