Details

analyze539.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
54.7%	54.6%	45.2%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
62.5%	62.4%	37.4%	0.1%	0%	0%	0%	11
66%	65.9%	33.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 20 to 15 computations (25% saved)

sample6.6s (17.8%)

Results

5.0s	4684×	body	1024	valid
842.0ms	1454×	body	512	valid
675.0ms	2097×	body	256	valid
33.0ms	21×	body	2048	valid

Bogosity

preprocess125.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

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

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
▶	2.3b	(/.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)))
▶	0.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	4.9b	(*.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)

localize55.0ms (0.1%)

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)
✓	4.5b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series13.0ms (0%)

Counts

4 → 56

Calls

18 calls:

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

rewrite81.0ms (0.2%)

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)))))))))

simplify99.0ms (0.3%)

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)))

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	kx	@	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
2.0ms	ky	@	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms	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))

rewrite138.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	241	80
2	3023	80

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

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

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

simplify165.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	14460
1	1784	14406

Stop Event

1×	node limit

Counts

298 → 354

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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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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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))))))))

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 208

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite78.0ms (0.2%)

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))))))))

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

160 → 219

Calls

Call 1

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

eval657.0ms (1.8%)

Compiler: Compiled 34766 to 14249 computations (59% saved)

prune383.0ms (1%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1278	27	1305
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	1279	30	1309

Error

Counts

1309 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 2)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)
	2.4b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	2.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.8b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.8b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
✓	2.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	34.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	47.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	48.1b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	2.4b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	33.2b	(/.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)))
	49.2b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	31.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
▶	47.4b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	33.2b	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	2.5b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	0.3b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	49.1b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	0.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	32.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	9.4b	(.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))
	47.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	49.2b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	2.4b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
	0.4b	(.f64 (sin.f64 ky) (.f64 (neg.f64 (sin.f64 th)) (/.f64 -1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
▶	51.0b	(sin.f64 th)

Compiler

Compiled 772 to 531 computations (31.2% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-*r/`
1476×	`associate-/l*`
1300×	`associate-*l/`
468×	`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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Outputs

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

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

simplify120.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1302×	`distribute-lft-in`
1294×	`distribute-rgt-in`
586×	`*-commutative`
526×	`associate-r`
498×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	435	10206
1	1255	9010
2	5061	9010

Stop Event

1×	node limit

Counts

174 → 199

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series6.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

179 → 219

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 ky)
✓	0.1b	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	0.2b	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
✓	1.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))

Compiler

Compiled 32 to 8 computations (75% saved)

series21.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	kx	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
2.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
2.0ms	ky	@	inf	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
2.0ms	ky	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
1.0ms	kx	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

simplify452.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

249 → 243

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(/.f64 1 (sin.f64 th))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))
✓	2.3b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

223 → 259

Calls

Call 1

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

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

eval439.0ms (1.2%)

Compiler: Compiled 28050 to 11098 computations (60.4% saved)

prune436.0ms (1.2%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	1184	37	1221
Fresh	8	14	22
Picked	0	1	1
Done	2	5	7
Total	1194	57	1251

Error

Counts

1251 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	47.4b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	2.6b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.4b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	2.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	47.7b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	48.1b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	33.3b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.8b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	55.2b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
✓	2.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	34.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	47.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	33.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	55.2b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	56.4b	(/.f64 (*.f64 ky th) (sin.f64 kx))
	32.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	49.2b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	54.5b	(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	47.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	47.8b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th))
✓	31.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	47.7b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) th))
	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	55.8b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	54.6b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	54.5b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
▶	52.5b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	55.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	54.0b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	47.4b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx)))
	50.0b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	47.0b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	51.1b	(/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	55.8b	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 kx) (sin.f64 th)))
	31.2b	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	54.6b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶	55.8b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	2.5b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶	0.3b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	47.4b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	49.1b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	0.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	32.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	9.4b	(.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))
	47.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	54.6b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	49.2b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	56.9b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	0.4b	(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
✓	51.0b	(sin.f64 th)
	46.8b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	46.9b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	47.9b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	55.6b	th

Compiler

Compiled 1414 to 981 computations (30.6% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite80.0ms (0.2%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) 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(sin.f64 ky)) 2)) (/.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 (sin.f64 th)) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (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 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (hypot.f64 (sin.f64 ky) 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simplify153.0ms (0.4%)

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))
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(/.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))
(*.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)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 ky ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 ky ky)) (/.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))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (/.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 4)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 ky ky)) (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 ky 4))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 ky ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 ky 4)))
(+.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)))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (.f64 ky ky))) (fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (/.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 1/4 (/.f64 (sin.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 (-.f64 2/45 (/.f64 (.f64 -1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))))) (pow.f64 ky 6)) (fma.f64 -1 (.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (/.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 4)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 ky ky)) (-.f64 (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 ky 4))) (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 6))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (.f64 ky ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 ky 4))) (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 6)))
(*.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)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (*.f64 kx kx))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (.f64 kx kx)) (/.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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(sin.f64 th)
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(/.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))))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 kx) th)
✓	2.1b	(/.f64 ky (/.f64 (sin.f64 kx) th))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series11.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	th	@	-inf	(/.f64 ky (/.f64 (sin.f64 kx) th))
1.0ms	kx	@	0	(/.f64 ky (/.f64 (sin.f64 kx) th))
1.0ms	kx	@	inf	(/.f64 ky (/.f64 (sin.f64 kx) th))
1.0ms	ky	@	0	(/.f64 ky (/.f64 (sin.f64 kx) th))
0.0ms	th	@	0	(/.f64 ky (/.f64 (sin.f64 kx) th))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`associate-/l*`
1366×	`associate-*r/`
980×	`*-commutative`
922×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	188	28
2	2588	28

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

976×	`distribute-rgt-in`
954×	`distribute-lft-in`
506×	`distribute-lft-neg-out`
500×	`distribute-rgt-neg-out`
484×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	3776
1	977	3650
2	3739	3638

Stop Event

1×	node limit

Counts

190 → 202

Calls

Call 1

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

Outputs
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 th ky) kx)
(/.f64 th (/.f64 kx ky))
(*.f64 (/.f64 th kx) ky)
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky th))) (/.f64 (.f64 ky th) kx))
(fma.f64 1/6 (.f64 (.f64 ky th) kx) (/.f64 th (/.f64 kx ky)))
(fma.f64 (.f64 kx 1/6) (.f64 ky th) (*.f64 (/.f64 th kx) ky))
(.f64 ky (+.f64 (.f64 (*.f64 kx 1/6) th) (/.f64 th kx)))
(+.f64 (.f64 1/6 (.f64 kx (.f64 ky th))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 th ky)) (.f64 1/120 (.f64 ky th))) (pow.f64 kx 3))) (/.f64 (.f64 ky th) kx)))
(fma.f64 1/6 (.f64 (.f64 ky th) kx) (fma.f64 -1 (.f64 (fma.f64 -1/36 (.f64 ky th) (.f64 (.f64 ky th) 1/120)) (pow.f64 kx 3)) (/.f64 th (/.f64 kx ky))))
(fma.f64 1/6 (.f64 ky (.f64 th kx)) (fma.f64 (neg.f64 (.f64 (.f64 ky th) -7/360)) (pow.f64 kx 3) (*.f64 (/.f64 th kx) ky)))
(fma.f64 1/6 (.f64 ky (.f64 th kx)) (fma.f64 (.f64 (.f64 ky th) 7/360) (pow.f64 kx 3) (*.f64 (/.f64 th kx) ky)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 th ky)) (.f64 1/120 (.f64 ky th)))) (+.f64 (.f64 -1/5040 (.f64 ky th)) (.f64 1/720 (.f64 th ky)))) (pow.f64 kx 5))) (+.f64 (.f64 1/6 (.f64 kx (.f64 ky th))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 th ky)) (.f64 1/120 (.f64 ky th))) (pow.f64 kx 3))) (/.f64 (*.f64 ky th) kx))))
(fma.f64 -1 (.f64 (fma.f64 1/6 (fma.f64 -1/36 (.f64 ky th) (.f64 (.f64 ky th) 1/120)) (fma.f64 -1/5040 (.f64 ky th) (.f64 (.f64 ky th) 1/720))) (pow.f64 kx 5)) (fma.f64 1/6 (.f64 (.f64 ky th) kx) (fma.f64 -1 (.f64 (fma.f64 -1/36 (.f64 ky th) (.f64 (*.f64 ky th) 1/120)) (pow.f64 kx 3)) (/.f64 th (/.f64 kx ky)))))
(-.f64 (fma.f64 1/6 (.f64 ky (.f64 th kx)) (fma.f64 (neg.f64 (.f64 (.f64 ky th) -7/360)) (pow.f64 kx 3) (.f64 (/.f64 th kx) ky))) (.f64 (fma.f64 1/6 (.f64 (.f64 ky th) -7/360) (.f64 (.f64 ky th) 1/840)) (pow.f64 kx 5)))
(-.f64 (fma.f64 1/6 (.f64 ky (.f64 th kx)) (fma.f64 (.f64 (.f64 ky th) 7/360) (pow.f64 kx 3) (.f64 (/.f64 th kx) ky))) (.f64 (+.f64 (.f64 (.f64 ky th) -13/3780) (.f64 th (.f64 ky 1/720))) (pow.f64 kx 5)))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
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(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) 1) (/.f64 th (sin.f64 kx)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (sqrt.f64 (sin.f64 kx))) (/.f64 th (sqrt.f64 (sin.f64 kx))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 th (cbrt.f64 (sin.f64 kx))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (neg.f64 (sin.f64 kx))) (neg.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (/.f64 (sin.f64 kx) 1)) th)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (/.f64 (sin.f64 kx) (sqrt.f64 th))) (sqrt.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) (/.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 th) 2))) (cbrt.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky 1) -1) (neg.f64 (/.f64 th (sin.f64 kx))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 (/.f64 (sin.f64 kx) th))) 1) (sqrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 ky (sqrt.f64 (/.f64 (sin.f64 kx) th))) (sqrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 (/.f64 (sin.f64 kx) th))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 th)))
(.f64 (/.f64 ky (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (neg.f64 th)))
(/.f64 (/.f64 ky (sqrt.f64 (/.f64 (sin.f64 kx) th))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 th))))
(.f64 (/.f64 ky (.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (neg.f64 (sin.f64 kx))))) (sqrt.f64 (neg.f64 th)))
(*.f64 (/.f64 (/.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) 1) (cbrt.f64 (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (/.f64 th (sin.f64 kx))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 th (sin.f64 kx))) ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))
(*.f64 (/.f64 (/.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (sin.f64 kx))) (cbrt.f64 th))
(.f64 (cbrt.f64 th) (/.f64 ky (.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))))
(.f64 (cbrt.f64 th) (/.f64 ky (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (sin.f64 kx)))))
(/.f64 (/.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (/.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 th)))
(*.f64 (/.f64 (/.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx)))) (cbrt.f64 (neg.f64 th)))
(.f64 (/.f64 ky (.f64 (cbrt.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))) (cbrt.f64 (neg.f64 th)))
(/.f64 (.f64 ky (cbrt.f64 (neg.f64 th))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (neg.f64 (sin.f64 kx)))))
(/.f64 (/.f64 (*.f64 ky (cbrt.f64 (neg.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (cbrt.f64 (neg.f64 (sin.f64 kx))))
(pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 1)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) 2)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) 3)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 3) 1/3)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) -1)
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(neg.f64 (*.f64 (/.f64 ky (sin.f64 kx)) (neg.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(neg.f64 (/.f64 (neg.f64 ky) (/.f64 (sin.f64 kx) th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(neg.f64 (*.f64 ky (neg.f64 (/.f64 th (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(neg.f64 (.f64 (.f64 (/.f64 ky (sin.f64 kx)) (neg.f64 th)) 1))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(neg.f64 (.f64 1 (.f64 (/.f64 ky (sin.f64 kx)) (neg.f64 th))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 2))
(sqrt.f64 (pow.f64 (/.f64 ky (/.f64 (sin.f64 kx) th)) 2))
(fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) ky)))
(fabs.f64 (/.f64 (*.f64 ky th) (sin.f64 kx)))
(log.f64 (pow.f64 (exp.f64 ky) (/.f64 th (sin.f64 kx))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 ky (/.f64 th (sin.f64 kx))))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(cbrt.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) 3))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(expm1.f64 (log1p.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(exp.f64 (log.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(log1p.f64 (expm1.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) th))) 1)
(/.f64 (sin.f64 kx) th)
(*.f64 (sin.f64 kx) (/.f64 1 th))
(/.f64 (sin.f64 kx) th)
(*.f64 (sin.f64 kx) (neg.f64 (neg.f64 (/.f64 1 th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sin.f64 kx) th) 1)
(/.f64 (sin.f64 kx) th)
(*.f64 1 (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))
(/.f64 (sin.f64 kx) th)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th))) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 kx) th)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (/.f64 (cbrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 th) (sin.f64 kx))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (/.f64 1 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (neg.f64 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))))
(/.f64 (sin.f64 kx) th)
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))) (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) th) (sqrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) th) (/.f64 (sqrt.f64 (sin.f64 kx)) 1))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) th) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) th) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 kx) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (sin.f64 kx) 1) (/.f64 1 th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (/.f64 1 (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 -1 (/.f64 (sin.f64 kx) (neg.f64 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 (neg.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 th)) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (/.f64 1 (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th))) (pow.f64 (cbrt.f64 th) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) th) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))))
(/.f64 (sin.f64 kx) th)
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))) (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))))) (cbrt.f64 (/.f64 (sin.f64 kx) (neg.f64 th))))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(pow.f64 (/.f64 (sin.f64 kx) th) 1)
(/.f64 (sin.f64 kx) th)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) 2)
(/.f64 (sin.f64 kx) th)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 3)
(/.f64 (sin.f64 kx) th)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)
(/.f64 (sin.f64 kx) th)
(pow.f64 (/.f64 th (sin.f64 kx)) -1)
(/.f64 (sin.f64 kx) th)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))
(/.f64 (sin.f64 kx) th)
(neg.f64 (/.f64 (/.f64 (sin.f64 kx) (neg.f64 th)) 1))
(/.f64 (sin.f64 kx) th)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))
(fabs.f64 (/.f64 (sin.f64 kx) th))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))
(/.f64 (sin.f64 kx) th)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 th 3)))
(/.f64 (sin.f64 kx) th)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

15 calls:

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

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`associate-/r*`
1184×	`associate-/l*`
1100×	`associate-*r/`
1058×	`*-commutative`
798×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	208	36
2	2840	36

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1230×	`unswap-sqr`
1096×	`associate-/l/`
998×	`associate-/r*`
876×	`associate-/r/`
716×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4476
1	850	4350
2	3011	4310

Stop Event

1×	node limit

Counts

126 → 210

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 th (sin.f64 ky))
✓	0.1b	(/.f64 (sin.f64 ky) th)
✓	1.4b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
✓	10.6b	(/.f64 (.f64 kx kx) (.f64 th (sin.f64 ky)))

Compiler

Compiled 71 to 18 computations (74.6% saved)

series19.0ms (0.1%)

Counts

4 → 100

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	ky	@	0	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
3.0ms	kx	@	0	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
2.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
1.0ms	th	@	-inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
1.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))

rewrite114.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`associate-/r/`
686×	`distribute-lft-in`
600×	`associate-/l/`
348×	`add-sqr-sqrt`
340×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	332	96
2	4998	96

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify169.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-r`
960×	`*-commutative`
768×	`associate-l`
700×	`associate-*r/`
684×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	680	16151
1	2042	15301

Stop Event

1×	node limit

Counts

289 → 316

Calls

Call 1

Inputs
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 ky th))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (/.f64 (pow.f64 kx 2) (*.f64 th ky)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (+.f64 (/.f64 (pow.f64 kx 2) (.f64 th ky)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (*.f64 1/120 (/.f64 (pow.f64 kx 2) th))) (pow.f64 ky 3)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (+.f64 (/.f64 (pow.f64 kx 2) (.f64 th ky)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th)))) (+.f64 (.f64 1/720 (/.f64 (pow.f64 kx 2) th)) (.f64 -1/5040 (/.f64 (pow.f64 kx 2) th)))) (pow.f64 ky 5))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th))) (pow.f64 ky 3))))))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2)))
(+.f64 (.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2))) (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (*.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (pow.f64 ky 4)))
(+.f64 (.f64 (-.f64 (.f64 1/60 (/.f64 th (pow.f64 kx 2))) (+.f64 (.f64 4 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th)))) (.f64 1/6 (/.f64 1 th))) (pow.f64 th 2)) (pow.f64 kx 4))) (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (.f64 (+.f64 (/.f64 1 th) (.f64 1/12 (/.f64 (pow.f64 kx 2) th))) th)) (pow.f64 kx 2))))) (pow.f64 ky 6)) (+.f64 (.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2))) (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (*.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (pow.f64 ky 4))))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (sin.f64 ky) th)))))
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(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
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th
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(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 ky) 2) th) (pow.f64 kx 2)))
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(/.f64 ky th)
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(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
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(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 th ky)
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(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
(*.f64 (sin.f64 ky) th)
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(.f64 (.f64 kx kx) (/.f64 1 (*.f64 th (sin.f64 ky))))
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(.f64 (/.f64 1 (.f64 (sin.f64 ky) (neg.f64 th))) (*.f64 kx (neg.f64 kx)))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 kx 4)) th) (/.f64 (cbrt.f64 (.f64 kx kx)) (sin.f64 ky)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 kx 4)) (sin.f64 ky)) (/.f64 (cbrt.f64 (.f64 kx kx)) th))
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(.f64 (/.f64 kx (.f64 (sin.f64 ky) (neg.f64 th))) (neg.f64 kx))
(.f64 (/.f64 kx (/.f64 (.f64 th (sin.f64 ky)) 1)) kx)
(.f64 (/.f64 kx (/.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 kx))) (sqrt.f64 kx))
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(.f64 (/.f64 1 (/.f64 (.f64 th (sin.f64 ky)) (cbrt.f64 (pow.f64 kx 4)))) (cbrt.f64 (*.f64 kx kx)))
(.f64 (/.f64 (sqrt.f64 kx) (.f64 (/.f64 th kx) (sin.f64 ky))) (sqrt.f64 kx))
(.f64 (/.f64 (cbrt.f64 (.f64 kx kx)) (*.f64 (/.f64 th kx) (sin.f64 ky))) (cbrt.f64 kx))
(.f64 (/.f64 (cbrt.f64 (pow.f64 kx 4)) (.f64 th (sin.f64 ky))) (cbrt.f64 (*.f64 kx kx)))
(pow.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1)
(pow.f64 (/.f64 kx (sqrt.f64 (*.f64 th (sin.f64 ky)))) 2)
(pow.f64 (cbrt.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx)))) 3)
(pow.f64 (pow.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 th kx) (/.f64 (sin.f64 ky) kx)) -1)
(neg.f64 (/.f64 (.f64 kx kx) (.f64 (sin.f64 ky) (neg.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 kx th)) (/.f64 kx (sin.f64 ky))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))))))
(cbrt.f64 (pow.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 kx kx) 3) (pow.f64 (.f64 th (sin.f64 ky)) 3)))
(expm1.f64 (log1p.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx)))))
(exp.f64 (log.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx)))) 1))
(log1p.f64 (expm1.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx)))))
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(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (-.f64 (.f64 1/4 (pow.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 2)) (pow.f64 (/.f64 (sin.f64 ky) th) 2))) (-.f64 (.f64 (/.f64 1/2 th) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) th)))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 (sin.f64 ky) (.f64 th (sin.f64 ky))) (.f64 th (.f64 (.f64 kx kx) 1/2)))) (.f64 th (.f64 th (sin.f64 ky))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 th (sin.f64 ky)) (.f64 (/.f64 th (sin.f64 ky)) (.f64 (.f64 kx kx) 1/2)))) (.f64 (/.f64 th (sin.f64 ky)) (*.f64 th (sin.f64 ky))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 (neg.f64 (sin.f64 ky)) (.f64 th (sin.f64 ky))) (.f64 (neg.f64 th) (.f64 (.f64 kx kx) 1/2)))) (.f64 (neg.f64 th) (.f64 th (sin.f64 ky))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 (.f64 th (sin.f64 ky)) (sin.f64 ky)) (.f64 (.f64 (.f64 kx kx) 1/2) th))) (.f64 (.f64 th (sin.f64 ky)) th))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 th (sin.f64 ky)) (.f64 (.f64 (.f64 kx kx) 1/2) (/.f64 th (sin.f64 ky))))) (.f64 (*.f64 th (sin.f64 ky)) (/.f64 th (sin.f64 ky))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (+.f64 (.f64 (.f64 (.f64 kx kx) 1/2) (neg.f64 th)) (.f64 (.f64 th (sin.f64 ky)) (neg.f64 (sin.f64 ky))))) (.f64 (.f64 th (sin.f64 ky)) (neg.f64 th)))
(.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3) (pow.f64 (.f64 (/.f64 1/2 th) (/.f64 (.f64 kx kx) (sin.f64 ky))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2) (.f64 (.f64 (/.f64 1/2 th) (/.f64 (.f64 kx kx) (sin.f64 ky))) (-.f64 (.f64 (/.f64 1/2 th) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) th))))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2) (.f64 1/4 (pow.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 2))))) (sqrt.f64 (+.f64 (/.f64 (sin.f64 ky) th) (.f64 -1/2 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx)))))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3) (pow.f64 (.f64 (/.f64 1/2 th) (/.f64 (.f64 kx kx) (sin.f64 ky))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2) (.f64 (.f64 (/.f64 1/2 th) (/.f64 (.f64 kx kx) (sin.f64 ky))) (-.f64 (.f64 (/.f64 1/2 th) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) th))))))
(.f64 (/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 2)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2) (.f64 1/4 (pow.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 2))))) (cbrt.f64 (+.f64 (/.f64 (sin.f64 ky) th) (.f64 -1/2 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx)))))))
(pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)) (sin.f64 ky)) -1)
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) th))) 1)
(*.f64 (sin.f64 ky) (/.f64 1 th))
(*.f64 (/.f64 (sin.f64 ky) th) 1)
(*.f64 1 (/.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 (sin.f64 ky) th)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) 2) (cbrt.f64 (/.f64 (sin.f64 ky) th)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(*.f64 (/.f64 1 th) (sin.f64 ky))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 th)))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 ky) (sqrt.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 th)))
(*.f64 (/.f64 1 (neg.f64 th)) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) th))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) th) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 1 (/.f64 th (sqrt.f64 (sin.f64 ky)))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) th) (cbrt.f64 (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) th) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) th)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) 3)
(pow.f64 (/.f64 th (sin.f64 ky)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) th))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) th)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 th (sin.f64 ky)))) 1)
(pow.f64 (*.f64 th (sin.f64 ky)) 1)
(pow.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) 2)
(pow.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) 3)
(pow.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 2))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 th (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(expm1.f64 (log1p.f64 (*.f64 th (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (.f64 th (sin.f64 ky))) 1))
(log1p.f64 (expm1.f64 (*.f64 th (sin.f64 ky))))

Outputs
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 ky th))
(/.f64 (.f64 kx kx) (.f64 ky th))
(*.f64 (/.f64 kx th) (/.f64 kx ky))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (/.f64 (pow.f64 kx 2) (*.f64 th ky)))
(fma.f64 1/6 (/.f64 (.f64 kx kx) (/.f64 th ky)) (/.f64 (.f64 kx kx) (*.f64 ky th)))
(fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) ky) (*.f64 (/.f64 kx th) (/.f64 kx ky)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (+.f64 (/.f64 (pow.f64 kx 2) (.f64 th ky)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (*.f64 1/120 (/.f64 (pow.f64 kx 2) th))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 1/6 (/.f64 (.f64 kx kx) (/.f64 th ky)) (/.f64 (.f64 kx kx) (.f64 ky th))) (neg.f64 (.f64 (.f64 (.f64 kx (/.f64 kx th)) -7/360) (pow.f64 ky 3))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) ky) (.f64 (/.f64 kx th) (/.f64 kx ky))) (.f64 (.f64 kx (.f64 (/.f64 kx th) -7/360)) (pow.f64 ky 3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 kx 2) ky) th)) (+.f64 (/.f64 (pow.f64 kx 2) (.f64 th ky)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th)))) (+.f64 (.f64 1/720 (/.f64 (pow.f64 kx 2) th)) (.f64 -1/5040 (/.f64 (pow.f64 kx 2) th)))) (pow.f64 ky 5))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th))) (pow.f64 ky 3))))))
(+.f64 (fma.f64 1/6 (/.f64 (.f64 kx kx) (/.f64 th ky)) (/.f64 (.f64 kx kx) (.f64 ky th))) (fma.f64 -1 (.f64 (pow.f64 ky 5) (fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) -7/360) (.f64 (.f64 kx (/.f64 kx th)) 1/840))) (neg.f64 (.f64 (.f64 (*.f64 kx (/.f64 kx th)) -7/360) (pow.f64 ky 3)))))
(fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) ky) (fma.f64 -1 (fma.f64 (pow.f64 ky 5) (fma.f64 (.f64 kx (/.f64 kx th)) 1/840 (.f64 (.f64 kx (/.f64 kx th)) -7/2160)) (.f64 (.f64 kx (.f64 (/.f64 kx th) -7/360)) (pow.f64 ky 3))) (*.f64 (/.f64 kx th) (/.f64 kx ky))))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 ky) th))
(.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th)))
(.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2)))
(.f64 2 (/.f64 th (/.f64 (.f64 kx kx) (*.f64 ky ky))))
(.f64 2 (.f64 (/.f64 (/.f64 th kx) kx) (*.f64 ky ky)))
(+.f64 (.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2))) (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (*.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (pow.f64 ky 4)))
(fma.f64 2 (/.f64 th (/.f64 (.f64 kx kx) (.f64 ky ky))) (.f64 (+.f64 (.f64 -1/3 (/.f64 th (.f64 kx kx))) (.f64 -4 (/.f64 (+.f64 (/.f64 1 th) (.f64 (.f64 kx (/.f64 kx th)) 1/12)) (/.f64 (pow.f64 kx 4) (*.f64 th th))))) (pow.f64 ky 4)))
(fma.f64 2 (.f64 (/.f64 (/.f64 th kx) kx) (.f64 ky ky)) (.f64 (fma.f64 -1/3 (/.f64 (/.f64 th kx) kx) (.f64 (.f64 (/.f64 (fma.f64 (.f64 kx (/.f64 kx th)) 1/12 (/.f64 1 th)) (pow.f64 kx 4)) (*.f64 th th)) -4)) (pow.f64 ky 4)))
(+.f64 (.f64 (-.f64 (.f64 1/60 (/.f64 th (pow.f64 kx 2))) (+.f64 (.f64 4 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 -1/36 (/.f64 (pow.f64 kx 2) th)) (.f64 1/120 (/.f64 (pow.f64 kx 2) th)))) (.f64 1/6 (/.f64 1 th))) (pow.f64 th 2)) (pow.f64 kx 4))) (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (.f64 (+.f64 (/.f64 1 th) (.f64 1/12 (/.f64 (pow.f64 kx 2) th))) th)) (pow.f64 kx 2))))) (pow.f64 ky 6)) (+.f64 (.f64 2 (/.f64 (.f64 th (pow.f64 ky 2)) (pow.f64 kx 2))) (.f64 (-.f64 (.f64 -1/3 (/.f64 th (pow.f64 kx 2))) (.f64 4 (/.f64 (.f64 (+.f64 (/.f64 1 th) (*.f64 1/12 (/.f64 (pow.f64 kx 2) th))) (pow.f64 th 2)) (pow.f64 kx 4)))) (pow.f64 ky 4))))
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(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
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th
(+.f64 (.f64 -1/2 (/.f64 (.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)
(fma.f64 -1/2 (/.f64 (.f64 (.f64 kx kx) th) (pow.f64 (sin.f64 ky) 2)) th)
(fma.f64 -1/2 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) 2)) (.f64 kx kx)) th)
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(/.f64 (pow.f64 (.f64 (sin.f64 ky) th) 2) (.f64 th (+.f64 (.f64 kx (.f64 kx 1/2)) (pow.f64 (sin.f64 ky) 2))))
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(pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 1)
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) 2)
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))) 3)
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 3) 1/3)
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(pow.f64 (/.f64 (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)) (sin.f64 ky)) -1)
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))) 2))
(fabs.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th))))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 kx (*.f64 (sin.f64 ky) (/.f64 th kx))) 1/2 (/.f64 (sin.f64 ky) th)))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
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(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (/.f64 (.f64 kx (.f64 kx 1/2)) (*.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) (fma.f64 1/2 (.f64 kx (/.f64 kx (.f64 (sin.f64 ky) th))) (/.f64 (sin.f64 ky) th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) th))) 1)
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(*.f64 (sin.f64 ky) (/.f64 1 th))
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(*.f64 (/.f64 (sin.f64 ky) th) 1)
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(/.f64 (sin.f64 ky) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 (sin.f64 ky) th)))
(/.f64 (sin.f64 ky) th)
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(/.f64 (sin.f64 ky) th)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) 2))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(/.f64 (sin.f64 ky) th)
(*.f64 (/.f64 1 th) (sin.f64 ky))
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(/.f64 (sin.f64 ky) th)
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 ky) (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) th) (sqrt.f64 (sin.f64 ky)))
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(/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
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(/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 (/.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 1 (/.f64 th (sqrt.f64 (sin.f64 ky)))) (sqrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) th)
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) th) (cbrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) th)
(pow.f64 (/.f64 (sin.f64 ky) th) 1)
(/.f64 (sin.f64 ky) th)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) th)) 2)
(/.f64 (sin.f64 ky) th)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) th)) 3)
(/.f64 (sin.f64 ky) th)
(pow.f64 (/.f64 th (sin.f64 ky)) -1)
(/.f64 (sin.f64 ky) th)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3) 1/3)
(/.f64 (sin.f64 ky) th)
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 th)))
(/.f64 (sin.f64 ky) th)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 2))
(fabs.f64 (/.f64 (sin.f64 ky) th))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) th)))
(/.f64 (sin.f64 ky) th)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) th))))
(/.f64 (sin.f64 ky) th)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) th) 3))
(/.f64 (sin.f64 ky) th)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) th)))
(/.f64 (sin.f64 ky) th)
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) th)))
(/.f64 (sin.f64 ky) th)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) th)) 1))
(/.f64 (sin.f64 ky) th)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) th)))
(/.f64 (sin.f64 ky) th)
(-.f64 (exp.f64 (log1p.f64 (*.f64 th (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) th)
(pow.f64 (*.f64 th (sin.f64 ky)) 1)
(*.f64 (sin.f64 ky) th)
(pow.f64 (sqrt.f64 (*.f64 th (sin.f64 ky))) 2)
(*.f64 (sin.f64 ky) th)
(pow.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) 3)
(*.f64 (sin.f64 ky) th)
(pow.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3) 1/3)
(*.f64 (sin.f64 ky) th)
(sqrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2))
(fabs.f64 (*.f64 (sin.f64 ky) th))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) th)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 th (sin.f64 ky)))))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) 3))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 ky) 3)))
(*.f64 (sin.f64 ky) th)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 th 3)))
(*.f64 (sin.f64 ky) th)
(expm1.f64 (log1p.f64 (*.f64 th (sin.f64 ky))))
(*.f64 (sin.f64 ky) th)
(exp.f64 (log.f64 (*.f64 th (sin.f64 ky))))
(*.f64 (sin.f64 ky) th)
(exp.f64 (.f64 (log.f64 (.f64 th (sin.f64 ky))) 1))
(*.f64 (sin.f64 ky) th)
(log1p.f64 (expm1.f64 (*.f64 th (sin.f64 ky))))
(*.f64 (sin.f64 ky) th)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)
✓	0.1b	(*.f64 -1/6 (pow.f64 ky 3))
✓	1.5b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th))
✓	2.9b	(/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th)

Compiler

Compiled 64 to 39 computations (39.1% saved)

series32.0ms (0.1%)

Counts

4 → 75

Calls

24 calls:

Time	Variable		Point	Expression
15.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th))
3.0ms	kx	@	inf	(/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th)
2.0ms	ky	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)
1.0ms	kx	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th))
1.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) th)

rewrite159.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`associate-*l/`
1594×	`associate-/l*`
580×	`associate-/r/`
354×	`add-sqr-sqrt`
342×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	100
1	349	100
2	4516	100

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify153.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

946×	`times-frac`
910×	`associate-r`
872×	`associate-/l*`
832×	`*-commutative`
806×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	687	15638
1	2031	15240

Stop Event

1×	node limit

Counts

266 → 355

Calls

Call 1

Inputs
(/.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th)
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th)))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 kx 4)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th))))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2)))) (pow.f64 kx 6)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 kx 4)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th)))))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sin.f64 kx) th)
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))))
(+.f64 (/.f64 (sin.f64 kx) th) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) th)))))
(+.f64 (/.f64 (sin.f64 kx) th) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/36 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (.f64 (sin.f64 kx) th))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) th))))))
(*.f64 1/6 (/.f64 (pow.f64 ky 3) th))
(+.f64 (.f64 -1 (/.f64 ky th)) (.f64 1/6 (/.f64 (pow.f64 ky 3) th)))
(+.f64 (.f64 -1 (/.f64 ky th)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 ky 3) th)) (.f64 3 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 3))))))
(+.f64 (.f64 -1 (/.f64 ky th)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 18 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 5)))) (.f64 3 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 3)))))))
(*.f64 -1/6 (/.f64 (pow.f64 ky 3) th))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (/.f64 ky th))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (.f64 -3 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 th (pow.f64 ky 3))))))
(+.f64 (.f64 -18 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 5)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (.f64 -3 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 th (pow.f64 ky 3)))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (.f64 th ky) (sin.f64 kx)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 th (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) th) (pow.f64 (sin.f64 kx) 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 th (sin.f64 kx))) (.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 1/36 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(.f64 6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3)))
(+.f64 (.f64 36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (.f64 6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3))))
(+.f64 (.f64 36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (+.f64 (.f64 216 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 7))) (.f64 6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3)))))
(+.f64 (.f64 36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (+.f64 (.f64 216 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1296 (.f64 (sin.f64 ky) th)) (.f64 108 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 ky) th)))) (pow.f64 ky 9))) (.f64 6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3))))))
(.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3)))
(+.f64 (.f64 -36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3))))
(+.f64 (.f64 -36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (+.f64 (.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3))) (.f64 -216 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 7)))))
(+.f64 (.f64 108 (/.f64 (.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (sin.f64 ky) th)) (pow.f64 ky 9))) (+.f64 (.f64 -1296 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 9))) (+.f64 (.f64 -36 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 5))) (+.f64 (.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3))) (.f64 -216 (/.f64 (*.f64 (sin.f64 ky) th) (pow.f64 ky 7)))))))
(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
(+.f64 (/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 kx 2) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 5))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (.f64 (sin.f64 ky) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3)))) (pow.f64 kx 4))) (+.f64 (/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 kx 2) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 5))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (.f64 (sin.f64 ky) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3)))) (pow.f64 kx 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 5))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (.f64 (sin.f64 ky) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3)))) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2)))) (.f64 (sin.f64 ky) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3))) (.f64 1/4 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (.f64 (sin.f64 ky) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 5))))) (pow.f64 kx 6))) (+.f64 (/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 kx 2) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
ky
(*.f64 -1/6 (pow.f64 ky 3))
(*.f64 -1/6 (pow.f64 ky 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) 1)
(*.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 1 th))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 1)
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 th)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 th)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (/.f64 1 th) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 (neg.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) 1) (/.f64 1 th))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sqrt.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (cbrt.f64 th)))
(*.f64 -1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 1 (neg.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (cbrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2) 1) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 1)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 3) 1/3)
(pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) -1)
(neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (neg.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) 3) (pow.f64 th 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))) 1)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
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(/.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))) (/.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (/.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))) (sqrt.f64 (+.f64 (pow.f64 ky 3) (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) (sqrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (*.f64 ky ky)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))) (/.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))))
(/.f64 (-.f64 (.f64 ky ky) (.f64 (pow.f64 ky 6) 1/36)) (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (neg.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)) 1) (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) 1) (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))))
(/.f64 (.f64 (-.f64 (.f64 ky ky) (.f64 (pow.f64 ky 6) 1/36)) 1) (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) 1) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (cbrt.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 (pow.f64 ky 6) 1/36)) (.f64 (.f64 ky ky) (.f64 ky ky))) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))) (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 ky 6) 1/36) 3) (pow.f64 ky 6)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))) (+.f64 (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 (pow.f64 ky 6) 1/36)) (+.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (pow.f64 ky 6)) (/.f64 1 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))))) (-.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (-.f64 (pow.f64 ky 6) (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 (pow.f64 ky 3) -1/6 ky)
(fma.f64 1 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 ky 3)) ky)
(fma.f64 (.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) ky)
(fma.f64 (sqrt.f64 ky) (sqrt.f64 ky) (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 (pow.f64 (.f64 ky (cbrt.f64 -1/6)) 2) (.f64 ky (cbrt.f64 -1/6)) ky)
(fma.f64 (pow.f64 (cbrt.f64 ky) 2) (cbrt.f64 ky) (*.f64 -1/6 (pow.f64 ky 3)))

Outputs
(/.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th)
(/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) th)
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)) (.f64 1/2 (/.f64 (/.f64 (.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(+.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 kx 4)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th))))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 4) th)) (.f64 1/2 (/.f64 (/.f64 (*.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 4) th)) (.f64 1/2 (/.f64 (/.f64 (*.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (/.f64 ky th) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 2/45 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2)))) (pow.f64 kx 6)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) 2)) (pow.f64 kx 4)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th))) (.f64 1/2 (/.f64 (pow.f64 kx 2) (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) th)))))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)) (fma.f64 1/2 (.f64 (/.f64 (+.f64 2/45 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2)))) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 6) th)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 4) th)) (.f64 1/2 (/.f64 (/.f64 (*.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (-.f64 2/45 (/.f64 (+.f64 -1/6 (.f64 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2) -1/2)) (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2))) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 6) th)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (pow.f64 kx 4) th)) (.f64 1/2 (/.f64 (/.f64 (*.f64 kx kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) th) (/.f64 ky th)))
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(*.f64 (/.f64 1 th) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))) th)
(/.f64 (sin.f64 kx) th)
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))))
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/2 (/.f64 (.f64 ky ky) (*.f64 th (sin.f64 kx)))))
(+.f64 (/.f64 (sin.f64 kx) th) (.f64 (/.f64 1/2 th) (/.f64 (.f64 ky ky) (sin.f64 kx))))
(+.f64 (/.f64 (sin.f64 kx) th) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) th)))))
(+.f64 (/.f64 (sin.f64 kx) th) (fma.f64 1/2 (/.f64 (.f64 ky ky) (.f64 th (sin.f64 kx))) (.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) th)))))
(+.f64 (/.f64 (sin.f64 kx) th) (fma.f64 1/2 (.f64 (/.f64 ky th) (/.f64 ky (sin.f64 kx))) (/.f64 -1/2 (/.f64 (.f64 th (sin.f64 kx)) (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4))))))
(+.f64 (/.f64 (sin.f64 kx) th) (+.f64 (.f64 1/2 (/.f64 (pow.f64 ky 2) (.f64 (sin.f64 kx) th))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/36 (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (.f64 (sin.f64 kx) th))) (.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) th))))))
(+.f64 (/.f64 (sin.f64 kx) th) (fma.f64 1/2 (/.f64 (.f64 ky ky) (.f64 th (sin.f64 kx))) (fma.f64 1/2 (.f64 (/.f64 (+.f64 1/36 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx)) (/.f64 (pow.f64 ky 6) th)) (.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) th))))))
(+.f64 (/.f64 (sin.f64 kx) th) (fma.f64 1/2 (.f64 (/.f64 ky th) (/.f64 ky (sin.f64 kx))) (fma.f64 1/2 (.f64 (/.f64 (+.f64 1/36 (.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx)) (/.f64 (pow.f64 ky 6) th)) (/.f64 -1/2 (/.f64 (.f64 th (sin.f64 kx)) (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)))))))
(*.f64 1/6 (/.f64 (pow.f64 ky 3) th))
(*.f64 (/.f64 (pow.f64 ky 3) th) 1/6)
(+.f64 (.f64 -1 (/.f64 ky th)) (.f64 1/6 (/.f64 (pow.f64 ky 3) th)))
(fma.f64 -1 (/.f64 ky th) (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6))
(-.f64 (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6) (/.f64 ky th))
(+.f64 (.f64 -1 (/.f64 ky th)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 ky 3) th)) (.f64 3 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 3))))))
(fma.f64 -1 (/.f64 ky th) (fma.f64 1/6 (/.f64 (pow.f64 ky 3) th) (.f64 3 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 (pow.f64 ky 3) th)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 ky 3) th) (*.f64 (/.f64 3 (pow.f64 ky 3)) (/.f64 (pow.f64 (sin.f64 kx) 2) th))) (/.f64 ky th))
(+.f64 (.f64 -1 (/.f64 ky th)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 ky 3) th)) (+.f64 (.f64 18 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 5)))) (.f64 3 (/.f64 (pow.f64 (sin.f64 kx) 2) (.f64 th (pow.f64 ky 3)))))))
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(fma.f64 108 (/.f64 (pow.f64 (sin.f64 kx) 2) (/.f64 (pow.f64 ky 9) (.f64 th (sin.f64 ky)))) (fma.f64 -1296 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 9) th)) (fma.f64 -36 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 5) th)) (fma.f64 -6 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 3) th)) (.f64 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 7) th)) -216)))))
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(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (sin.f64 ky) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) th))
(+.f64 (/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 kx 2) th)) (pow.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) 3))))
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(fma.f64 -1 (.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 5) th)) (.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3) (.f64 th (sin.f64 ky))))))) (+.f64 (/.f64 (sin.f64 ky) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) th)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 ky) (.f64 th (*.f64 kx kx))) (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3)))))
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(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2) (pow.f64 (sin.f64 kx) 2))))))
ky
(*.f64 -1/6 (pow.f64 ky 3))
(*.f64 -1/6 (pow.f64 ky 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) 1)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 1 th))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 1)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 th)))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (/.f64 1 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 th)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (/.f64 1 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 1 th) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 (neg.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) 1) (/.f64 1 th))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sqrt.f64 th)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sqrt.f64 th)) (sqrt.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (cbrt.f64 th)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (cbrt.f64 th)) (pow.f64 (cbrt.f64 th) 2))
(*.f64 -1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 1 (neg.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (/.f64 1 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (/.f64 1 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (cbrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (/.f64 1 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (sqrt.f64 th)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (pow.f64 (cbrt.f64 th) 2)))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (/.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2) 1) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (/.f64 1 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(*.f64 (/.f64 1 (/.f64 th (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (.f64 (/.f64 1 th) (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 1)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 3)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 3) 1/3)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(pow.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) -1)
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (neg.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) 3))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) 3) (pow.f64 th 3)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 1))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))) 1)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 1)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 1 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 th (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) 2))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (neg.f64 (sin.f64 ky)) (.f64 -1 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sqrt.f64 th)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th))
(.f64 (sqrt.f64 th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(.f64 (sqrt.f64 th) (/.f64 (.f64 (sin.f64 ky) (sqrt.f64 th)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 th))
(.f64 (cbrt.f64 th) (.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sin.f64 ky) (cbrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (pow.f64 (cbrt.f64 th) 2)))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (sin.f64 ky) th))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (/.f64 (sin.f64 ky) 1) th))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sqrt.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 (sqrt.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2)) (/.f64 th (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sin.f64 ky) (/.f64 th (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2))
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(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (neg.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (.f64 -1 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (neg.f64 (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) th))
(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 th (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 th (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th) (sqrt.f64 (sin.f64 ky)))
(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(.f64 th (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 th)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) th))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))))
(.f64 (cbrt.f64 (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)) 2)))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sqrt.f64 th))) (sqrt.f64 th))
(.f64 (sqrt.f64 th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(.f64 (sqrt.f64 th) (/.f64 (.f64 (sin.f64 ky) (sqrt.f64 th)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) -1) (neg.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (pow.f64 (cbrt.f64 th) 2))) (cbrt.f64 th))
(.f64 (cbrt.f64 th) (.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sin.f64 ky) (cbrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (neg.f64 (neg.f64 th)))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) (cbrt.f64 (sin.f64 ky)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 th (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 1) th)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 1) (/.f64 th 1))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 (sqrt.f64 th))) (sqrt.f64 th))
(.f64 (sqrt.f64 th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(.f64 (sqrt.f64 th) (/.f64 (.f64 (sin.f64 ky) (sqrt.f64 th)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (/.f64 1 (pow.f64 (cbrt.f64 th) 2))) (cbrt.f64 th))
(.f64 (cbrt.f64 th) (.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sin.f64 ky) (cbrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) -1) (neg.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) -1) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (neg.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) 1) (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (/.f64 th (sqrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
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(/.f64 (*.f64 (sin.f64 ky) (/.f64 th (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) 2))
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(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) 1)) th)
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sqrt.f64 th))) (sqrt.f64 th))
(.f64 (sqrt.f64 th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 th)))
(.f64 (sqrt.f64 th) (/.f64 (.f64 (sin.f64 ky) (sqrt.f64 th)) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
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(.f64 (cbrt.f64 th) (.f64 (pow.f64 (cbrt.f64 th) 2) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sin.f64 ky) (cbrt.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (pow.f64 (cbrt.f64 th) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) -1) (neg.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) 1) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (neg.f64 (neg.f64 th)))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) 1) (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (sqrt.f64 (neg.f64 th)))
(*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) th))) (sqrt.f64 (neg.f64 th)))
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(pow.f64 (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) 1/3)
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(*.f64 -1/6 (log.f64 (exp.f64 (pow.f64 ky 3))))
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(.f64 (sqrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (sqrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (*.f64 ky ky))) (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))) (/.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (.f64 1/6 (pow.f64 ky 3)))))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))) (/.f64 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))) (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)))) (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (*.f64 ky ky))))
(.f64 (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky)) (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (*.f64 ky ky))))))
(/.f64 (-.f64 (.f64 ky ky) (.f64 (pow.f64 ky 6) 1/36)) (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (fma.f64 ky ky (.f64 (pow.f64 ky 6) -1/36)) (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (fma.f64 ky ky (.f64 (pow.f64 ky 6) -1/36)) (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))
(/.f64 (neg.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 (pow.f64 ky 3) 1/6)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)) 1) (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (fma.f64 ky ky (.f64 (pow.f64 ky 6) -1/36)) (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))
(/.f64 (.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) 1) (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 (pow.f64 ky 3) 1/6)))))
(/.f64 (.f64 (-.f64 (.f64 ky ky) (.f64 (pow.f64 ky 6) 1/36)) 1) (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (fma.f64 ky ky (.f64 (pow.f64 ky 6) -1/36)) (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) 1) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky)) (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(/.f64 (fma.f64 ky ky (.f64 (pow.f64 ky 6) -1/36)) (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3))))))
(/.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 (pow.f64 ky 3) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3)))))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (.f64 (pow.f64 ky 3) 1/6))))) (sqrt.f64 (+.f64 (pow.f64 ky 3) (*.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))) (sqrt.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (sqrt.f64 (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3)))))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216))) (cbrt.f64 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (.f64 (pow.f64 ky 3) 1/6)))))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)) (cbrt.f64 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (.f64 ky ky))) (/.f64 (cbrt.f64 (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 1/36 (pow.f64 ky 6)) (*.f64 ky ky))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky)))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 (pow.f64 ky 6) 1/36)) (.f64 (.f64 ky ky) (.f64 ky ky))) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))) (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))
(/.f64 (.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky)) (-.f64 (.f64 (.f64 (pow.f64 ky 6) (pow.f64 ky 6)) 1/1296) (pow.f64 ky 4))) (fma.f64 (pow.f64 ky 6) 1/36 (*.f64 ky ky)))
(/.f64 (-.f64 (.f64 (pow.f64 ky 12) 1/1296) (pow.f64 ky 4)) (.f64 (fma.f64 (pow.f64 ky 6) 1/36 (*.f64 ky ky)) (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 ky 6) 1/36) 3) (pow.f64 ky 6)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))) (+.f64 (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 (pow.f64 ky 6) 1/36)) (+.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) (.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky ky)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 ky 6) 3) 1/46656) (pow.f64 ky 6)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 ky 6) (pow.f64 ky 6)) 1/1296) (.f64 (.f64 ky ky) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky ky)))) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))))
(/.f64 (-.f64 (.f64 1/46656 (pow.f64 (pow.f64 ky 6) 3)) (pow.f64 ky 6)) (.f64 (+.f64 (.f64 (pow.f64 ky 12) 1/1296) (.f64 ky (.f64 ky (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky ky))))) (fma.f64 -1/6 (pow.f64 ky 3) (neg.f64 ky))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (pow.f64 ky 6)) (/.f64 1 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))))) (-.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 (pow.f64 ky 3) 3)) 1/46656) (pow.f64 ky 6)) (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)) (/.f64 1 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 ky 3) 6) 1/46656) (pow.f64 ky 6)) (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 (pow.f64 ky 3) 1/6))))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 ky 6) 1/36) (.f64 ky (-.f64 ky (.f64 -1/6 (pow.f64 ky 3))))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)) (-.f64 (pow.f64 ky 6) (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) (pow.f64 ky 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 ky 3) 3) (.f64 (pow.f64 (pow.f64 (pow.f64 ky 3) 3) 3) -1/10077696)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 (pow.f64 ky 3) 3)) 1/46656) (-.f64 (pow.f64 ky 6) (.f64 (pow.f64 ky 3) (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216)))) (/.f64 1 (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (*.f64 1/6 (pow.f64 ky 3))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 ky 3) 3) -1/216) 3)) (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 ky 3) 6) 1/46656) (-.f64 (pow.f64 ky 6) (.f64 -1/216 (pow.f64 ky 12)))) (fma.f64 (pow.f64 ky 6) 1/36 (.f64 ky (+.f64 ky (.f64 (pow.f64 ky 3) 1/6))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 1)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 2)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 3)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3) 1/3)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky))))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) 3))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) 1))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 (pow.f64 ky 3) -1/6 ky)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 1 ky (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 1 (*.f64 -1/6 (pow.f64 ky 3)) ky)
(fma.f64 -1/6 (pow.f64 ky 3) ky)
(fma.f64 (.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) ky)
(+.f64 (pow.f64 (*.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) 2) ky)
(+.f64 ky (pow.f64 (*.f64 (pow.f64 ky 3/2) (sqrt.f64 -1/6)) 2))
(fma.f64 (sqrt.f64 ky) (sqrt.f64 ky) (*.f64 -1/6 (pow.f64 ky 3)))
(fma.f64 (pow.f64 (.f64 ky (cbrt.f64 -1/6)) 2) (.f64 ky (cbrt.f64 -1/6)) ky)
(+.f64 (pow.f64 (*.f64 ky (cbrt.f64 -1/6)) 3) ky)
(+.f64 ky (pow.f64 (*.f64 ky (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (cbrt.f64 ky) 2) (cbrt.f64 ky) (*.f64 -1/6 (pow.f64 ky 3)))

eval659.0ms (1.8%)

Compiler: Compiled 40453 to 18165 computations (55.1% saved)

prune510.0ms (1.4%)

Pruning

97 alts after pruning (88 fresh and 9 done)

	Pruned	Kept	Total
New	1475	49	1524
Fresh	7	39	46
Picked	1	0	1
Done	1	9	10
Total	1484	97	1581

Error

Counts

1581 → 97

Alt Table

Click to see full alt table

Status	Error	Program
	57.0b	(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) 3) 1/3)
	47.4b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	2.4b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	55.2b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) kx)
✓	2.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	47.7b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	48.1b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	55.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) kx)
	33.3b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.8b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	56.3b	(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 1/120 (pow.f64 ky 5)) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) kx)
✓	55.2b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	57.0b	(/.f64 (*.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))) kx)
	57.9b	(/.f64 (.f64 (sin.f64 ky) (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) kx)
✓	2.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	34.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	47.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	33.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	56.6b	(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
	55.2b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	57.2b	(/.f64 (*.f64 (sin.f64 ky) th) kx)
	57.6b	(/.f64 (*.f64 th ky) kx)
	32.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	54.8b	(/.f64 (sin.f64 th) (/.f64 kx ky))
▶	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	47.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	31.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	47.7b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) th))
	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	55.8b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	54.6b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	54.5b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
	56.6b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	59.9b	(/.f64 (sin.f64 ky) (-.f64 (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6) (/.f64 ky th)))
	52.6b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) ky) (.f64 (/.f64 kx th) (/.f64 kx ky))))))
	51.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (.f64 (/.f64 kx (sin.f64 ky)) (/.f64 kx th)))))
	51.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (.f64 (/.f64 kx th) (/.f64 kx ky)))))
	55.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	54.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 (/.f64 1/2 th) (/.f64 (.f64 ky ky) (sin.f64 kx)))))
	54.0b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	56.2b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 ky th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	52.5b	(/.f64 (sin.f64 ky) (+.f64 (.f64 (/.f64 1 th) (sin.f64 ky)) (.f64 1/2 (/.f64 (.f64 kx kx) (.f64 th (sin.f64 ky))))))
	60.7b	(/.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (/.f64 ky th)))
	62.3b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6))
	47.4b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx)))
	62.2b	(/.f64 (sin.f64 ky) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) th)))
	50.0b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	47.0b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	51.1b	(/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	55.8b	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 kx) (sin.f64 th)))
	54.5b	(/.f64 (fabs.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
	55.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) kx)
	31.2b	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	54.6b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	55.8b	(/.f64 th (/.f64 (sin.f64 kx) ky))
	56.9b	(/.f64 th (/.f64 kx ky))
✓	55.8b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	56.9b	(/.f64 ky (/.f64 kx th))
	58.5b	(/.f64 ky (+.f64 (/.f64 kx th) (/.f64 (*.f64 -1/6 (pow.f64 kx 3)) th)))
	61.1b	(/.f64 ky (+.f64 (/.f64 kx th) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) th)) (.f64 1/120 (/.f64 (pow.f64 kx 5) th)))))
	54.0b	(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
	57.8b	(/.f64 2 (/.f64 (.f64 kx kx) (.f64 th (pow.f64 (sin.f64 ky) 2))))
	2.5b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	57.9b	(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
	0.4b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1) (sin.f64 ky))
✓	0.3b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	51.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	47.4b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
▶	49.1b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	54.8b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	32.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	9.4b	(.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))
	47.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	54.6b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	54.5b	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	56.5b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
▶	56.9b	(*.f64 (/.f64 th kx) ky)
	49.2b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	55.8b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	56.4b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 ky th))
	55.2b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 th) (sin.f64 ky)))
	0.4b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
	56.9b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	59.9b	(.f64 ky (+.f64 (.f64 (*.f64 kx 1/6) th) (/.f64 th kx)))
	58.4b	(.f64 2 (/.f64 th (/.f64 (.f64 kx kx) (*.f64 ky ky))))
	58.2b	(.f64 2 (.f64 (/.f64 (/.f64 th kx) kx) (*.f64 ky ky)))
	61.9b	(.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3)))
✓	51.0b	(sin.f64 th)
	55.3b	(fabs.f64 (/.f64 (*.f64 ky th) (sin.f64 kx)))
▶	46.8b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	54.5b	(fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) ky)))
	46.9b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
▶	54.3b	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
	55.6b	th

Compiler

Compiled 2471 to 1699 computations (31.2% 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))
✓	0.1b	(/.f64 1 (sin.f64 ky))
✓	0.2b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series4.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite127.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

258 → 318

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 (/.f64 th kx) ky)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 25

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite120.0ms (0.3%)

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

Outputs

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

simplify144.0ms (0.4%)

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	5111	5964

Stop Event

1×	node limit

Counts

206 → 261

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 8 computations (72.4% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite123.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`*-commutative`
904×	`associate-*r/`
798×	`associate-/r*`
728×	`unswap-sqr`
626×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	32
2	2564	32

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-/l*`
596×	`distribute-rgt-in`
590×	`distribute-lft-in`
498×	`associate-/l/`
442×	`distribute-frac-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	5714
1	1135	5592
2	4666	5592

Stop Event

1×	node limit

Counts

204 → 260

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series3.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/l*`
1388×	`associate-*r/`
1144×	`*-commutative`
956×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1150×	`distribute-lft-in`
1146×	`distribute-rgt-in`
580×	`distribute-lft-neg-in`
544×	`associate-r`
504×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	5551
1	1109	5413
2	4484	5333

Stop Event

1×	node limit

Counts

179 → 226

Calls

Call 1

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

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

eval362.0ms (1%)

Compiler: Compiled 23906 to 9032 computations (62.2% saved)

prune672.0ms (1.8%)

Pruning

123 alts after pruning (109 fresh and 14 done)

	Pruned	Kept	Total
New	1188	33	1221
Fresh	7	76	83
Picked	0	1	1
Done	0	13	13
Total	1195	123	1318

Error

Counts

1318 → 123

Alt Table

Click to see full alt table

Status	Error	Program
	58.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 th kx) ky) 3) 1/3)
	57.0b	(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) 3) 1/3)
	57.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 th kx) ky)) 2)
	56.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 th kx) ky)) 3)
	60.4b	(/.f64 (/.f64 (*.f64 th ky) (sqrt.f64 kx)) (sqrt.f64 kx))
	2.4b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	55.2b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) kx)
	49.8b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 ky)) (sin.f64 kx))
✓	2.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	47.7b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	48.1b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	55.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) kx)
	33.3b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.7b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.8b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	56.3b	(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 1/120 (pow.f64 ky 5)) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) kx)
✓	55.2b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	57.0b	(/.f64 (*.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))) kx)
	57.9b	(/.f64 (.f64 (sin.f64 ky) (+.f64 th (.f64 -1/6 (pow.f64 th 3)))) kx)
✓	2.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	34.3b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	47.6b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	33.2b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	56.6b	(/.f64 (.f64 (sin.f64 ky) th) (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky))
	55.2b	(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
	57.2b	(/.f64 (*.f64 (sin.f64 ky) th) kx)
	57.6b	(/.f64 (*.f64 th ky) kx)
	32.3b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
✓	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	32.5b	(/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (.f64 1/6 ky) (/.f64 1 ky))))
	47.4b	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
	47.4b	(/.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	31.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	47.7b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) th))
	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	55.8b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	54.6b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
	56.6b	(/.f64 (sin.f64 ky) (/.f64 kx th))
	59.9b	(/.f64 (sin.f64 ky) (-.f64 (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6) (/.f64 ky th)))
	52.6b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (fma.f64 1/6 (.f64 (.f64 kx (/.f64 kx th)) ky) (.f64 (/.f64 kx th) (/.f64 kx ky))))))
	51.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (.f64 (/.f64 kx (sin.f64 ky)) (/.f64 kx th)))))
	51.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/2 (.f64 (/.f64 kx th) (/.f64 kx ky)))))
	55.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (/.f64 (.f64 1/2 (.f64 ky ky)) (*.f64 th (sin.f64 kx)))))
	54.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 (/.f64 1/2 th) (/.f64 (.f64 ky ky) (sin.f64 kx)))))
	54.0b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	56.2b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 ky th) (.f64 1/2 (/.f64 (.f64 kx kx) (*.f64 th (sin.f64 ky))))))
	52.5b	(/.f64 (sin.f64 ky) (+.f64 (.f64 (/.f64 1 th) (sin.f64 ky)) (.f64 1/2 (/.f64 (.f64 kx kx) (.f64 th (sin.f64 ky))))))
	60.7b	(/.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) th)) (/.f64 ky th)))
	62.3b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 (pow.f64 ky 3) th) 1/6))
	47.4b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 kx)))
	62.2b	(/.f64 (sin.f64 ky) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) th)))
	50.0b	(/.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	47.0b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	55.8b	(/.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 kx) (sin.f64 th)))
	54.5b	(/.f64 (fabs.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
	55.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) kx)
	31.2b	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	54.6b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	55.8b	(/.f64 th (/.f64 (sin.f64 kx) ky))
	56.9b	(/.f64 th (/.f64 kx ky))
✓	55.8b	(/.f64 ky (/.f64 (sin.f64 kx) th))
	54.8b	(/.f64 ky (/.f64 kx (sin.f64 th)))
	56.9b	(/.f64 ky (/.f64 kx th))
	58.5b	(/.f64 ky (+.f64 (/.f64 kx th) (/.f64 (*.f64 -1/6 (pow.f64 kx 3)) th)))
	61.1b	(/.f64 ky (+.f64 (/.f64 kx th) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 kx 3) th)) (.f64 1/120 (/.f64 (pow.f64 kx 5) th)))))
	54.0b	(/.f64 ky (fabs.f64 (/.f64 (sin.f64 kx) th)))
	57.8b	(/.f64 2 (/.f64 (.f64 kx kx) (.f64 th (pow.f64 (sin.f64 ky) 2))))
	2.5b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	57.6b	(/.f64 1 (/.f64 kx (*.f64 th ky)))
	57.5b	(-.f64 (+.f64 1 (*.f64 (/.f64 th kx) ky)) 1)
	58.2b	(+.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (.f64 1/6 (.f64 (sin.f64 th) (.f64 ky kx))))
	0.4b	(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1) (sin.f64 ky))
	49.1b	(*.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1) ky)
	49.3b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 3) ky)
✓	0.3b	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	51.0b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	47.4b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
✓	49.1b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	54.8b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	32.3b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	9.4b	(.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))
	47.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	54.6b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	54.5b	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	56.5b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
✓	56.9b	(*.f64 (/.f64 th kx) ky)
	49.2b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	55.8b	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	56.4b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 ky th))
	55.2b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 th) (sin.f64 ky)))
	57.5b	(.f64 (+.f64 (.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)) ky)
	0.4b	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
	56.9b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	48.8b	(*.f64 (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
	56.9b	(*.f64 th (/.f64 ky kx))
	59.9b	(.f64 ky (+.f64 (.f64 (*.f64 kx 1/6) th) (/.f64 th kx)))
	58.4b	(.f64 2 (/.f64 th (/.f64 (.f64 kx kx) (*.f64 ky ky))))
	58.2b	(.f64 2 (.f64 (/.f64 (/.f64 th kx) kx) (*.f64 ky ky)))
	61.9b	(.f64 -6 (/.f64 (.f64 (sin.f64 ky) th) (pow.f64 ky 3)))
	57.2b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 th kx) ky) 2))
✓	51.0b	(sin.f64 th)
	55.4b	(fabs.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx))
	53.9b	(fabs.f64 (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))
	56.8b	(fabs.f64 (/.f64 (*.f64 (sin.f64 ky) th) kx))
✓	46.8b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	48.8b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
	48.0b	(fabs.f64 (/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (.f64 (.f64 1/6 (sin.f64 kx)) ky))))
	46.9b	(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))
	53.1b	(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th)))
	56.0b	(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 kx th)))
	53.0b	(fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))))
	54.5b	(fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) ky)))
	46.9b	(fabs.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)))
	54.3b	(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)))
	55.4b	(fabs.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 ky 3)) ky) (/.f64 (sin.f64 th) kx)))
✓	54.3b	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
	56.0b	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 th kx)))
	54.3b	(fabs.f64 (*.f64 (log1p.f64 (expm1.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) kx)))
	54.6b	(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) kx)))
	58.0b	(exp.f64 (log.f64 (*.f64 (/.f64 th kx) ky)))
	55.6b	th

Compiler

Compiled 1601 to 1107 computations (30.9% saved)

regimes739.0ms (2%)

Counts

150 → 1

Calls

Call 1

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

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

Calls

9 calls:

135.0ms	kx
87.0ms	(sin.f64 th)
78.0ms	th
76.0ms	(sin.f64 kx)
74.0ms	ky

Results

Error	Segments	Branch
0.3b	1	`kx`
0.3b	1	`ky`
0.3b	1	`th`
0.3b	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
0.3b	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
0.3b	1	`(sin.f64 ky)`
0.3b	1	`(pow.f64 (sin.f64 kx) 2)`
0.3b	1	`(sin.f64 kx)`
0.3b	1	`(sin.f64 th)`

Compiler

Compiled 1602 to 562 computations (64.9% saved)

regimes2.0s (5.5%)

Counts

128 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

809.0ms	(sin.f64 kx)
415.0ms	kx
234.0ms	(sin.f64 th)
188.0ms	(sin.f64 ky)
178.0ms	th

Results

Error	Segments	Branch
25.0b	8	`kx`
15.8b	3	`ky`
15.7b	3	`th`
15.8b	3	`(sin.f64 ky)`
22.9b	10	`(sin.f64 kx)`
15.7b	3	`(sin.f64 th)`

Compiler

Compiled 1267 to 444 computations (65% saved)

bsearch140.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	6.345708301503831e-13	4.489338881014104e-6
54.0ms	-12.434739740366762	-2.7228263586104724

Results

94.0ms	110×	body	1024	valid
24.0ms	94×	body	256	valid
18.0ms	36×	body	512	valid

Compiler

Compiled 445 to 304 computations (31.7% saved)

regimes1.6s (4.2%)

Counts

115 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

511.0ms	(sin.f64 kx)
426.0ms	kx
152.0ms	(sin.f64 th)
147.0ms	th
147.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
25.3b	8	`kx`
16.1b	3	`ky`
15.7b	3	`th`
16.0b	3	`(sin.f64 ky)`
22.5b	11	`(sin.f64 kx)`
15.7b	3	`(sin.f64 th)`

Compiler

Compiled 1112 to 389 computations (65% saved)

bsearch160.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
90.0ms	6.345708301503831e-13	4.489338881014104e-6
57.0ms	-12.434739740366762	-2.7228263586104724

Results

98.0ms	113×	body	1024	valid
23.0ms	44×	body	512	valid
22.0ms	83×	body	256	valid

Compiler

Compiled 445 to 304 computations (31.7% saved)

regimes2.2s (6%)

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

724.0ms	(sin.f64 kx)
451.0ms	kx
369.0ms	(sin.f64 ky)
330.0ms	th
168.0ms	ky

Results

Error	Segments	Branch
25.4b	8	`kx`
16.1b	3	`ky`
15.7b	3	`th`
16.1b	3	`(sin.f64 ky)`
22.5b	11	`(sin.f64 kx)`
15.7b	3	`(sin.f64 th)`

Compiler

Compiled 1092 to 386 computations (64.7% saved)

bsearch215.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
134.0ms	6.345708301503831e-13	4.489338881014104e-6
81.0ms	-12.434739740366762	-2.7228263586104724

Results

172.0ms	112×	body	1024	valid
23.0ms	96×	body	256	valid
16.0ms	32×	body	512	valid

Compiler

Compiled 445 to 304 computations (31.7% saved)

regimes763.0ms (2.1%)

Counts

110 → 2

Calls

Call 1

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

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

Calls

6 calls:

228.0ms	ky
161.0ms	(sin.f64 ky)
93.0ms	(sin.f64 kx)
86.0ms	(sin.f64 th)
59.0ms	kx

Results

Error	Segments	Branch
32.3b	1	`kx`
25.3b	3	`ky`
32.3b	1	`th`
24.9b	2	`(sin.f64 ky)`
30.8b	2	`(sin.f64 kx)`
32.3b	1	`(sin.f64 th)`

Compiler

Compiled 1062 to 378 computations (64.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00224207179121517	0.02190980490686189

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes1.0s (2.8%)

Counts

107 → 3

Calls

Call 1

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

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

Calls

6 calls:

207.0ms	kx
185.0ms	(sin.f64 kx)
184.0ms	ky
149.0ms	(sin.f64 th)
148.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
38.9b	5	`kx`
38.0b	4	`ky`
40.7b	3	`th`
37.6b	3	`(sin.f64 ky)`
36.2b	3	`(sin.f64 kx)`
38.1b	3	`(sin.f64 th)`

Compiler

Compiled 1032 to 368 computations (64.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.3s (3.5%)

Counts

103 → 3

Calls

Call 1

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

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

Calls

6 calls:

278.0ms	kx
258.0ms	ky
235.0ms	(sin.f64 kx)
194.0ms	(sin.f64 ky)
167.0ms	th

Results

Error	Segments	Branch
38.9b	5	`kx`
38.0b	4	`ky`
40.7b	3	`th`
37.6b	3	`(sin.f64 ky)`
36.2b	3	`(sin.f64 kx)`
39.1b	3	`(sin.f64 th)`

Compiler

Compiled 996 to 357 computations (64.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes982.0ms (2.7%)

Counts

101 → 3

Calls

Call 1

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

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

Calls

6 calls:

205.0ms	kx
183.0ms	ky
171.0ms	(sin.f64 kx)
141.0ms	(sin.f64 th)
131.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
38.9b	5	`kx`
38.0b	4	`ky`
40.7b	3	`th`
37.6b	3	`(sin.f64 ky)`
36.2b	3	`(sin.f64 kx)`
39.1b	3	`(sin.f64 th)`

Compiler

Compiled 978 to 355 computations (63.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.2s (3.4%)

Counts

100 → 3

Calls

Call 1

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

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

Calls

6 calls:

306.0ms	kx
235.0ms	ky
198.0ms	(sin.f64 kx)
181.0ms	th
169.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
39.0b	6	`kx`
38.0b	4	`ky`
40.8b	3	`th`
37.6b	3	`(sin.f64 ky)`
37.1b	3	`(sin.f64 kx)`
39.1b	3	`(sin.f64 th)`

Compiler

Compiled 969 to 353 computations (63.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.5s (4%)

Counts

86 → 3

Calls

Call 1

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

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

Calls

6 calls:

384.0ms	th
280.0ms	kx
227.0ms	(sin.f64 kx)
224.0ms	ky
185.0ms	(sin.f64 th)

Results

Error	Segments	Branch
39.0b	6	`kx`
38.0b	4	`ky`
40.8b	3	`th`
37.6b	3	`(sin.f64 ky)`
37.1b	3	`(sin.f64 kx)`
39.1b	3	`(sin.f64 th)`

Compiler

Compiled 745 to 269 computations (63.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.1s (3.1%)

Counts

76 → 3

Calls

Call 1

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

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

Calls

6 calls:

259.0ms	th
208.0ms	kx
185.0ms	(sin.f64 kx)
171.0ms	ky
160.0ms	(sin.f64 th)

Results

Error	Segments	Branch
39.2b	6	`kx`
38.8b	5	`ky`
41.2b	6	`th`
38.0b	4	`(sin.f64 ky)`
37.1b	3	`(sin.f64 kx)`
39.9b	5	`(sin.f64 th)`

Compiler

Compiled 661 to 247 computations (62.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.319234275472879e-155	5.31375293646962e-150
0.0ms	-1.697002504634791e-88	-3.0568957059787812e-89

Compiler

Compiled 25 to 19 computations (24% saved)

regimes988.0ms (2.7%)

Counts

75 → 5

Calls

Call 1

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

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

Calls

6 calls:

188.0ms	th
182.0ms	ky
179.0ms	kx
166.0ms	(sin.f64 th)
130.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
40.7b	5	`kx`
38.8b	5	`ky`
41.8b	6	`th`
38.9b	4	`(sin.f64 ky)`
38.9b	3	`(sin.f64 kx)`
40.4b	5	`(sin.f64 th)`

Compiler

Compiled 653 to 246 computations (62.3% saved)

bsearch297.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
80.0ms	1.593728250291163e-71	1.7433875433139156e-52
81.0ms	2.3346458981467957e-115	2.949333365982499e-111
69.0ms	6.277010922413786e-285	2.509342439819412e-276
66.0ms	-0.9587093200517275	-0.0002854133838612616

Results

189.0ms	216×	body	1024	valid
62.0ms	263×	body	256	valid
38.0ms	81×	body	512	valid

Compiler

Compiled 740 to 560 computations (24.3% saved)

regimes1.1s (3.1%)

Counts

72 → 2

Calls

Call 1

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

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

Calls

6 calls:

299.0ms	th
239.0ms	(sin.f64 th)
230.0ms	kx
130.0ms	(sin.f64 kx)
122.0ms	ky

Results

Error	Segments	Branch
40.9b	6	`kx`
40.2b	3	`ky`
42.5b	6	`th`
40.2b	2	`(sin.f64 ky)`
40.3b	3	`(sin.f64 kx)`
42.4b	6	`(sin.f64 th)`

Compiler

Compiled 629 to 242 computations (61.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.593728250291163e-71	1.7433875433139156e-52

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes453.0ms (1.2%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

6 calls:

141.0ms	(sin.f64 kx)
115.0ms	th
62.0ms	kx
48.0ms	ky
48.0ms	(sin.f64 th)

Results

Error	Segments	Branch
42.0b	3	`kx`
40.2b	3	`ky`
44.8b	7	`th`
40.2b	2	`(sin.f64 ky)`
41.0b	3	`(sin.f64 kx)`
47.8b	3	`(sin.f64 th)`

Compiler

Compiled 265 to 104 computations (60.8% saved)

bsearch165.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	1.593728250291163e-71	1.7433875433139156e-52
73.0ms	-118.23315111801537	-0.9587093200517275

Results

109.0ms	107×	body	1024	valid
29.0ms	126×	body	256	valid
21.0ms	39×	body	512	valid

Compiler

Compiled 314 to 240 computations (23.6% saved)

regimes441.0ms (1.2%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

6 calls:

109.0ms	(sin.f64 th)
98.0ms	th
78.0ms	kx
76.0ms	(sin.f64 kx)
41.0ms	ky

Results

Error	Segments	Branch
45.7b	4	`kx`
45.1b	3	`ky`
46.6b	7	`th`
45.2b	2	`(sin.f64 ky)`
45.4b	4	`(sin.f64 kx)`
46.6b	7	`(sin.f64 th)`

Compiler

Compiled 244 to 100 computations (59% saved)

bsearch150.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	1.593728250291163e-71	1.7433875433139156e-52
70.0ms	-0.9587093200517275	-0.0002854133838612616

Results

99.0ms	118×	body	1024	valid
31.0ms	136×	body	256	valid
17.0ms	34×	body	512	valid

Compiler

Compiled 331 to 253 computations (23.6% saved)

regimes336.0ms (0.9%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

6 calls:

122.0ms	(sin.f64 kx)
60.0ms	th
48.0ms	kx
37.0ms	ky
36.0ms	(sin.f64 th)

Results

Error	Segments	Branch
47.0b	3	`kx`
45.3b	3	`ky`
49.1b	3	`th`
45.2b	2	`(sin.f64 ky)`
45.8b	4	`(sin.f64 kx)`
49.1b	3	`(sin.f64 th)`

Compiler

Compiled 209 to 93 computations (55.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0169176191600481e-165	2.128725950431328e-164

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes337.0ms (0.9%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

6 calls:

96.0ms	kx
87.0ms	(sin.f64 kx)
56.0ms	(sin.f64 th)
35.0ms	ky
35.0ms	th

Results

Error	Segments	Branch
47.0b	3	`kx`
45.5b	3	`ky`
49.1b	3	`th`
45.4b	2	`(sin.f64 ky)`
46.3b	4	`(sin.f64 kx)`
49.1b	3	`(sin.f64 th)`

Compiler

Compiled 195 to 89 computations (54.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0169176191600481e-165	2.128725950431328e-164

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes165.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

6 calls:

46.0ms	(sin.f64 kx)
32.0ms	kx
23.0ms	(sin.f64 th)
23.0ms	th
23.0ms	ky

Results

Error	Segments	Branch
47.0b	3	`kx`
45.5b	3	`ky`
49.2b	3	`th`
45.4b	2	`(sin.f64 ky)`
46.3b	4	`(sin.f64 kx)`
49.2b	3	`(sin.f64 th)`

Compiler

Compiled 125 to 65 computations (48% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0169176191600481e-165	2.128725950431328e-164

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes150.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	kx
31.0ms	(sin.f64 kx)
22.0ms	(sin.f64 th)
22.0ms	th
22.0ms	ky

Results

Error	Segments	Branch
47.7b	3	`kx`
46.1b	3	`ky`
49.2b	3	`th`
46.3b	2	`(sin.f64 ky)`
47.4b	3	`(sin.f64 kx)`
49.2b	3	`(sin.f64 th)`

Compiler

Compiled 119 to 63 computations (47.1% saved)

bsearch155.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	1.3696983113634601e-170	2.0169176191600481e-165
78.0ms	-118.23315111801537	-0.9587093200517275

Results

108.0ms	107×	body	1024	valid
26.0ms	112×	body	256	valid
17.0ms	37×	body	512	valid

Compiler

Compiled 281 to 211 computations (24.9% saved)

regimes76.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(sin.f64 th)
19.0ms	th
19.0ms	ky
13.0ms	kx

Results

Error	Segments	Branch
49.5b	2	`kx`
46.7b	3	`ky`
49.6b	3	`th`
49.6b	3	`(sin.f64 th)`

Compiler

Compiled 97 to 49 computations (49.5% saved)

bsearch119.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	2.0169176191600481e-165	2.128725950431328e-164
69.0ms	-0.0002854133838612616	-2.2948979305558363e-6

Results

71.0ms	84×	body	1024	valid
26.0ms	90×	body	256	valid
19.0ms	34×	body	512	valid

Compiler

Compiled 220 to 162 computations (26.4% saved)

regimes96.0ms (0.3%)

Accuracy

Total -12.4b remaining (-24.5%)

Threshold costs -12.4b (-24.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	kx
22.0ms	ky
6.0ms	th

Results

Error	Segments	Branch
52.4b	3	`kx`
50.8b	3	`ky`
55.6b	1	`th`

Compiler

Compiled 90 to 44 computations (51.1% saved)

bsearch196.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	9.02968859744047e-83	1.593728250291163e-71
59.0ms	-0.0002854133838612616	-2.2948979305558363e-6

Results

107.0ms	116×	body	1024	valid
60.0ms	44×	body	512	valid
26.0ms	112×	body	256	valid

Compiler

Compiled 263 to 189 computations (28.1% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
16×	`fabs-div`
14×	`if-if-or-not`
6×	`fabs-mul`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1374
1	178	1374
2	188	1374

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 th -11/4) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(if (<=.f64 th -11/4) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(if (<=.f64 th -11/4) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) 1152921504606847/288230376151711744) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky -4278419646001971/4503599627370496) (sin.f64 th) (if (<=.f64 ky 633445410741/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 ky 4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (if (<=.f64 ky 1881960489343675/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 ky -6980579422424269/2251799813685248) (sin.f64 th) (if (<=.f64 ky 4613838619036107/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -4278419646001971/4503599627370496) (sin.f64 th) (if (<=.f64 ky 2826955303645415/883423532389192164791648750371459257913741948437809479060803100646309888) (fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 ky -3152519739159347/1125899906842624) (sin.f64 th) (if (<=.f64 ky 4116319444329945/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 (/.f64 ky (sin.f64 kx)) th) (sin.f64 th)))
(if (<=.f64 ky -2582544170319337/9223372036854775808) (sin.f64 th) (if (<=.f64 ky 881772058387211/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168) (*.f64 th (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -700976274800963/73786976294838206464) th (if (<=.f64 ky 1026666132072581/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (*.f64 th (/.f64 ky kx)) th))
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 th -11/4) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(if (<=.f64 th -11/4) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(if (or (<=.f64 th -11/4) (not (<=.f64 th 2597301565578305/590295810358705651712))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 th -11/4) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 th 2597301565578305/590295810358705651712) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (or (<=.f64 th -11/4) (not (<=.f64 th 2597301565578305/590295810358705651712))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) 1152921504606847/288230376151711744) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 1152921504606847/288230376151711744) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 ky -4278419646001971/4503599627370496) (sin.f64 th) (if (<=.f64 ky 633445410741/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 ky 4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (if (<=.f64 ky 1881960489343675/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky -6980579422424269/2251799813685248) (sin.f64 th) (if (<=.f64 ky 4613838619036107/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -6980579422424269/2251799813685248) (sin.f64 th) (if (<=.f64 ky 4613838619036107/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -4278419646001971/4503599627370496) (sin.f64 th) (if (<=.f64 ky 2826955303645415/883423532389192164791648750371459257913741948437809479060803100646309888) (fabs.f64 (/.f64 th (/.f64 (sin.f64 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (/.f64 ky (/.f64 kx (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 4149515568880993/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky -3152519739159347/1125899906842624) (sin.f64 th) (if (<=.f64 ky 4116319444329945/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 (/.f64 ky (sin.f64 kx)) th) (sin.f64 th)))
(if (<=.f64 ky -3152519739159347/1125899906842624) (sin.f64 th) (if (<=.f64 ky 4116319444329945/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 th (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -2582544170319337/9223372036854775808) (sin.f64 th) (if (<=.f64 ky 881772058387211/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168) (*.f64 th (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -700976274800963/73786976294838206464) th (if (<=.f64 ky 1026666132072581/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (*.f64 th (/.f64 ky kx)) th))
th

Compiler

Compiled 555 to 317 computations (42.9% saved)

soundness132.0ms (0.4%)

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)

end156.0ms (0.4%)

Compiler: Compiled 492 to 173 computations (64.8% saved)