Details

analyze575.0ms (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)

sample6.7s (17.1%)

Results

5.1s	4764×	body	1024	valid
991.0ms	1491×	body	512	valid
555.0ms	1987×	body	256	valid
22.0ms	14×	body	2048	valid

Bogosity

preprocess121.0ms (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 (0.2%)

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
▶	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	3.4b	(*.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)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
✓	0.3b	(pow.f64 (sin.f64 ky) 2)
✓	0.3b	(pow.f64 (sin.f64 kx) 2)
✓	3.2b	(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	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))))
1.0ms	kx	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))

rewrite93.0ms (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)))))))))

simplify134.0ms (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)))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series19.0ms (0%)

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))

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 198

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 kx)

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

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-/l*`
1530×	`associate-/r*`
798×	`associate-r`
662×	`*-commutative`
658×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	670	14674
1	1752	14602

Stop Event

1×	node limit

Counts

286 → 343

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

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

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series34.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	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	ky	@	0	(/.f64 (sin.f64 ky) (/.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	kx	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify121.0ms (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))

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 kx)
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.2b	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite74.0ms (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))))))))

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

160 → 219

Calls

Call 1

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

eval443.0ms (1.1%)

Compiler: Compiled 31928 to 13569 computations (57.5% saved)

prune282.0ms (0.7%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1121	26	1147
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	1122	29	1151

Error

Counts

1151 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 ky)))
	3.0b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	3.0b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	32.6b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	49.1b	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
✓	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx)))))
	5.2b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (sin.f64 kx) 3))))
	31.1b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
	46.1b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	47.5b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
	15.5b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	30.9b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	49.0b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	28.5b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
	28.3b	(/.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)))
▶	47.3b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	3.0b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	48.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	47.3b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	49.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	2.9b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))
	31.9b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 ky) th))
▶	51.0b	(sin.f64 th)

Compiler

Compiled 724 to 491 computations (32.2% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize4.0ms (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 kx)
✓	0.2b	(/.f64 (sin.f64 kx) (sin.f64 th))
✓	0.2b	(/.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	th	@	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	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)))

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

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(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))))))))

simplify92.0ms (0.2%)

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

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 8 computations (74.2% saved)

series23.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	kx	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
6.0ms	ky	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
1.0ms	ky	@	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
1.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
1.0ms	ky	@	-inf	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/l*`
1394×	`associate-*r/`
1148×	`*-commutative`
964×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	228	52
2	3035	52

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-+r+`
716×	`+-commutative`
710×	`associate-r`
686×	`*-commutative`
660×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	11139
1	1582	9455
2	6437	9451

Stop Event

1×	node limit

Counts

207 → 276

Calls

Call 1

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

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

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(/.f64 1 (sin.f64 th))
✓	0.3b	(/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))
✓	2.9b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

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)))

rewrite80.0ms (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) (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 (/.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 (neg.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 (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 (sin.f64 ky) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (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 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (sin.f64 th))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (sin.f64 th) -1/2)) (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (*.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 -1 (sin.f64 th))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (/.f64 1 (sin.f64 th)) (sqrt.f64 (sin.f64 ky)))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 th)))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 ky) (/.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) (/.f64 1 (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) (/.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 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (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))) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (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 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 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))))

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

simplify120.0ms (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))))
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(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th)))
(.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2)))
(.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 ky) (sin.f64 th)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(.f64 -1 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))
(*.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(.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))))))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 th) -2))) (.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) -1) (neg.f64 (sin.f64 th)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(.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 (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (sin.f64 th)) (sqrt.f64 (sin.f64 ky)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (sin.f64 th)))
(.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)))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 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 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(.f64 (sin.f64 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))
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(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)))
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(.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))))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 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))))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) ky)
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(fma.f64 -1/6 (.f64 (sin.f64 th) (pow.f64 ky 3)) (.f64 (sin.f64 th) ky))
(fma.f64 (sin.f64 th) ky (.f64 (pow.f64 ky 3) (.f64 (sin.f64 th) -1/6)))
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(fma.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/6 (.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 (sin.f64 th) ky (.f64 (pow.f64 ky 3) (*.f64 (sin.f64 th) -1/6))))
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(fma.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/5040 (.f64 (sin.f64 th) (pow.f64 ky 7)) (fma.f64 -1/6 (.f64 (sin.f64 th) (pow.f64 ky 3)) (.f64 (sin.f64 th) ky))))
(fma.f64 1/120 (.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/5040 (.f64 (sin.f64 th) (pow.f64 ky 7)) (fma.f64 (sin.f64 th) ky (.f64 (pow.f64 ky 3) (.f64 (sin.f64 th) -1/6)))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) th)
(*.f64 th (sin.f64 ky))
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(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)))
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(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))))
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(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 1 th)
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(+.f64 (/.f64 1 th) (*.f64 th 1/6))
(fma.f64 th 1/6 (/.f64 1 th))
(+.f64 (/.f64 1 th) (+.f64 (.f64 1/6 th) (.f64 7/360 (pow.f64 th 3))))
(+.f64 (/.f64 1 th) (fma.f64 1/6 th (*.f64 (pow.f64 th 3) 7/360)))
(+.f64 (/.f64 1 th) (fma.f64 (pow.f64 th 3) 7/360 (*.f64 th 1/6)))
(+.f64 (.f64 31/15120 (pow.f64 th 5)) (+.f64 (/.f64 1 th) (+.f64 (.f64 1/6 th) (*.f64 7/360 (pow.f64 th 3)))))
(fma.f64 31/15120 (pow.f64 th 5) (+.f64 (/.f64 1 th) (fma.f64 1/6 th (*.f64 (pow.f64 th 3) 7/360))))
(+.f64 (fma.f64 (pow.f64 th 3) 7/360 (*.f64 th 1/6)) (fma.f64 (pow.f64 th 5) 31/15120 (/.f64 1 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)
(*.f64 (sin.f64 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) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (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 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 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(.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))))
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(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (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 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (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 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))
(*.f64 (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 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (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 (cbrt.f64 (pow.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 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 2)) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) 2))))
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(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))

eval390.0ms (1%)

Compiler: Compiled 27039 to 11196 computations (58.6% saved)

prune397.0ms (1%)

Pruning

51 alts after pruning (46 fresh and 5 done)

	Pruned	Kept	Total
New	1068	34	1102
Fresh	9	12	21
Picked	1	0	1
Done	2	5	7
Total	1080	51	1131

Error

Counts

1131 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
	47.3b	(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) -1)
	51.4b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
	3.2b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	3.0b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	46.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	47.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	30.9b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.4b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.4b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	32.6b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.6b	(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx)))))
	46.1b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	15.5b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	30.9b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	47.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶	53.4b	(/.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))))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	28.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	42.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th))
	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	52.4b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
▶	49.7b	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
	51.2b	(/.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 kx))) (sin.f64 th)))
	50.5b	(/.f64 (sin.f64 ky) (/.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 th)))
	53.2b	(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
▶	51.9b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	52.1b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	45.4b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	49.7b	(/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky)))
	52.4b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	3.0b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	47.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	48.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	53.2b	(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	52.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	49.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	2.9b	(.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 th) (sin.f64 ky)))
	47.5b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	56.3b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	50.9b	(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx))
✓	51.0b	(sin.f64 th)
▶	47.8b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	43.1b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
	43.1b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 1243 to 868 computations (30.2% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	0.1b	(/.f64 1 (sin.f64 ky))
✓	0.2b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
✓	0.3b	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series33.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	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))))

rewrite91.0ms (0.2%)

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)) 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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))))))))

simplify203.0ms (0.5%)

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))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 (sin.f64 th) (/.f64 kx ky))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.2%)

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	17
1	188	17
2	2588	17

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-+r-`
968×	`associate-/r*`
722×	`*-commutative`
686×	`associate-/l/`
554×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	234	2852
1	642	2780
2	2100	2780
3	6571	2780

Stop Event

1×	node limit

Counts

126 → 124

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series11.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`associate-*r/`
1074×	`*-commutative`
906×	`associate-*l/`
642×	`associate-/r/`
360×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	232	32
2	3311	32

Stop Event

1×	node limit

Counts

2 → 233

Calls

Call 1

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

simplify694.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1276×	`distribute-rgt-in`
1258×	`distribute-lft-in`
802×	`*-commutative`
680×	`associate-/l*`
680×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	523	6687
1	1581	6647
2	5591	6647

Stop Event

1×	node limit

Counts

293 → 308

Calls

Call 1

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

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

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 kx) th)
✓	0.1b	(*.f64 (sin.f64 kx) th)
✓	0.3b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
✓	0.3b	(.f64 1/6 (.f64 (sin.f64 kx) th))

Compiler

Compiled 50 to 17 computations (66% saved)

series11.0ms (0%)

Counts

4 → 32

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	kx	@	0	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
1.0ms	ky	@	inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
1.0ms	kx	@	inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
1.0ms	kx	@	-inf	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
1.0ms	ky	@	0	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`associate-*r/`
1582×	`associate-*l/`
1450×	`associate-/r*`
314×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	299	78
2	4084	78

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 th) (sin.f64 kx)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (*.f64 (sin.f64 kx) th))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 ky) (/.f64 1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) 1) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (.f64 (cbrt.f64 (sin.f64 ky)) 1) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 ky)) (/.f64 -1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (-.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2) (pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 2))) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 -1/6 (.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 ky) (+.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216))) (+.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2) (.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) (-.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) 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)) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))))))
((#(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 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 sqrt.f64 (pow.f64 (.f64 (sin.f64 kx) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 th) (sin.f64 kx)))))) (#(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 cbrt.f64 (.f64 (pow.f64 th 3) (pow.f64 (sin.f64 kx) 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 exp.f64 (.f64 (log.f64 (.f64 (sin.f64 kx) th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 kx) th)))))))
((#(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 (/.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 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 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 (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 (sin.f64 kx)) 2) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 1 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)) (/.f64 -1 th))))) (#(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 (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 (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 (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 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 (/.f64 th (sin.f64 kx)) -1)))) (#(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 neg.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))))))

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r*`
1462×	`distribute-lft-in`
620×	`associate-/r/`
552×	`+-commutative`
510×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	5538
1	1005	5286
2	4078	5284

Stop Event

1×	node limit

Counts

126 → 215

Calls

Call 1

Inputs
(.f64 1/6 (.f64 kx th))
(+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th)))
(+.f64 (.f64 1/720 (.f64 (pow.f64 kx 5) th)) (+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 kx 7) th)) (+.f64 (.f64 1/720 (.f64 (pow.f64 kx 5) th)) (+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th)))))
(/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
(+.f64 (/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))) (.f64 -1/6 (/.f64 (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (*.f64 (sin.f64 kx) th))))))
(+.f64 (/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))) (.f64 1/120 (/.f64 (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))))))
(+.f64 (/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))) (.f64 -1/5040 (/.f64 (pow.f64 ky 7) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (*.f64 (sin.f64 kx) th))))))))
(/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (.f64 (sin.f64 ky) kx)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2))) (/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (.f64 (sin.f64 ky) kx)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2))) (+.f64 (/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) 2) (sin.f64 ky)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 3))) (/.f64 (.f64 (sin.f64 ky) (+.f64 (.f64 1/120 (/.f64 1 th)) (.f64 1/720 th))) (pow.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) 2))) (pow.f64 kx 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (.f64 (sin.f64 ky) kx)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2))) (+.f64 (/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) 2) (sin.f64 ky)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 3))) (/.f64 (.f64 (sin.f64 ky) (+.f64 (.f64 1/120 (/.f64 1 th)) (.f64 1/720 th))) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2))) (pow.f64 kx 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) 2) (sin.f64 ky)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 3))) (/.f64 (.f64 (sin.f64 ky) (+.f64 (.f64 1/120 (/.f64 1 th)) (.f64 1/720 th))) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2)))) (+.f64 (/.f64 1 th) (.f64 1/6 th)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/30240 th) (.f64 1/5040 (/.f64 1 th))) (sin.f64 ky)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (.f64 (+.f64 (.f64 1/120 (/.f64 1 th)) (.f64 1/720 th)) (sin.f64 ky))) (pow.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) 3))))) (pow.f64 kx 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 1/36 (/.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 1/36 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (.f64 -1/216 (/.f64 (.f64 (sin.f64 ky) (pow.f64 th 7)) (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 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th))))
(+.f64 (.f64 216 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 5)))) (+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th)))))
(+.f64 (.f64 -1296 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 7)))) (+.f64 (.f64 216 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 5)))) (+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th))))))
(.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th))))
(+.f64 (.f64 216 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 5)))) (+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th)))))
(+.f64 (.f64 -1296 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 7)))) (+.f64 (.f64 216 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 5)))) (+.f64 (.f64 -36 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) (pow.f64 th 3)))) (.f64 6 (/.f64 (sin.f64 ky) (.f64 (sin.f64 kx) th))))))
(*.f64 th kx)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 kx 3) th)) (*.f64 th kx))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 kx 3) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 kx 5) th)) (*.f64 th kx)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 kx 3) th)) (+.f64 (.f64 1/120 (.f64 (pow.f64 kx 5) th)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 kx 7) th)) (*.f64 th 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 1/6 (.f64 (sin.f64 kx) th)))) 1)
(pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 1)
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) (sin.f64 kx)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 (sin.f64 kx) th))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 kx) th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))) 1)
(.f64 (sin.f64 ky) (/.f64 1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 1)
(.f64 1 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (.f64 (sqrt.f64 (sin.f64 ky)) 1) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (/.f64 (.f64 (cbrt.f64 (sin.f64 ky)) 1) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 -1 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 (sin.f64 ky) (-.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2) (pow.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) 2))) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 -1/6 (*.f64 (sin.f64 kx) th))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) (.f64 (pow.f64 (.f64 (sin.f64 kx) th) 3) 1/216))) (+.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2) (.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) (-.f64 (.f64 1/6 (.f64 (sin.f64 kx) th)) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)) (sin.f64 ky)) -1)
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 kx) th))) 1)
(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)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 kx) th) 2))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 kx)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 kx) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 kx) th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 kx) th)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 kx) th)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 kx) th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) th))) 1)
(*.f64 (sin.f64 kx) (/.f64 1 th))
(*.f64 (/.f64 (sin.f64 kx) th) 1)
(*.f64 1 (/.f64 (sin.f64 kx) th))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 1 th)))
(*.f64 (/.f64 1 th) (sin.f64 kx))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 -1 th))
(*.f64 (/.f64 1 (sqrt.f64 th)) (/.f64 (sin.f64 kx) (sqrt.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 th) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 th)))
(*.f64 (/.f64 (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 (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 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 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 (/.f64 th (sin.f64 kx)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) th)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))

Outputs
(.f64 1/6 (.f64 kx th))
(+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th)))
(fma.f64 1/6 (.f64 kx th) (.f64 (*.f64 -1/36 (pow.f64 kx 3)) th))
(.f64 th (+.f64 (.f64 1/6 kx) (*.f64 -1/36 (pow.f64 kx 3))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 kx 5) th)) (+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th))))
(fma.f64 1/720 (.f64 th (pow.f64 kx 5)) (fma.f64 1/6 (.f64 kx th) (.f64 (.f64 -1/36 (pow.f64 kx 3)) th)))
(fma.f64 1/720 (.f64 th (pow.f64 kx 5)) (.f64 th (+.f64 (.f64 1/6 kx) (.f64 -1/36 (pow.f64 kx 3)))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 kx 7) th)) (+.f64 (.f64 1/720 (.f64 (pow.f64 kx 5) th)) (+.f64 (.f64 1/6 (.f64 kx th)) (.f64 -1/36 (.f64 (pow.f64 kx 3) th)))))
(fma.f64 -1/30240 (.f64 th (pow.f64 kx 7)) (fma.f64 1/720 (.f64 th (pow.f64 kx 5)) (fma.f64 1/6 (.f64 kx th) (.f64 (*.f64 -1/36 (pow.f64 kx 3)) th))))
(fma.f64 -1/30240 (.f64 th (pow.f64 kx 7)) (fma.f64 1/720 (.f64 th (pow.f64 kx 5)) (.f64 th (+.f64 (.f64 1/6 kx) (*.f64 -1/36 (pow.f64 kx 3))))))
(/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
(/.f64 ky (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(+.f64 (/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th)))) (.f64 -1/6 (/.f64 (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (*.f64 (sin.f64 kx) th))))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))) (sqrt.f64 (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))) (sqrt.f64 (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))) 2))
(.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))) 2)))
(pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 1)
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 2)
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 3)
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3) 1/3)
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(pow.f64 (/.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)) (sin.f64 ky)) -1)
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))) 2))
(fabs.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th))) 3))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))) 1))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 (sin.f64 kx) th) (/.f64 (sin.f64 kx) th)))))
(/.f64 (sin.f64 ky) (fma.f64 1/6 (*.f64 th (sin.f64 kx)) (/.f64 (sin.f64 kx) th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 kx) th))) 1)
(*.f64 th (sin.f64 kx))
(pow.f64 (*.f64 (sin.f64 kx) th) 1)
(*.f64 th (sin.f64 kx))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 kx) th)) 2)
(*.f64 th (sin.f64 kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 kx) th)) 3)
(*.f64 th (sin.f64 kx))
(pow.f64 (pow.f64 (*.f64 (sin.f64 kx) th) 3) 1/3)
(*.f64 th (sin.f64 kx))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 kx) th) 2))
(sqrt.f64 (pow.f64 (*.f64 th (sin.f64 kx)) 2))
(fabs.f64 (*.f64 th (sin.f64 kx)))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 kx)))
(*.f64 th (sin.f64 kx))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 kx) th))))
(*.f64 th (sin.f64 kx))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 kx) th) 3))
(*.f64 th (sin.f64 kx))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 th 3)))
(*.f64 th (sin.f64 kx))
(cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (sin.f64 kx) 3)))
(*.f64 th (sin.f64 kx))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 kx) th)))
(*.f64 th (sin.f64 kx))
(exp.f64 (log.f64 (*.f64 (sin.f64 kx) th)))
(*.f64 th (sin.f64 kx))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 kx) th)) 1))
(*.f64 th (sin.f64 kx))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 kx) th)))
(*.f64 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 (/.f64 (sin.f64 kx) th) 1)
(/.f64 (sin.f64 kx) th)
(*.f64 1 (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 kx) th)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) th)) (sqrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 1 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 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) 2) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 1 th)))
(/.f64 (sin.f64 kx) th)
(*.f64 (/.f64 1 th) (sin.f64 kx))
(/.f64 (sin.f64 kx) th)
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 -1 th))
(/.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)) (sqrt.f64 th))
(/.f64 (sin.f64 kx) (*.f64 (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 (sin.f64 kx) (*.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 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 (sin.f64 kx) (*.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 th)))
(*.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 1 (sqrt.f64 th)) (/.f64 (sin.f64 kx) (sqrt.f64 th)))
(/.f64 (/.f64 (sin.f64 kx) (sqrt.f64 th)) (sqrt.f64 th))
(/.f64 (sin.f64 kx) (*.f64 (sqrt.f64 th) (sqrt.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) th)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 th) 2)))
(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 (/.f64 th (sin.f64 kx)) -1)
(/.f64 (sin.f64 kx) th)
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3) 1/3)
(/.f64 (sin.f64 kx) th)
(neg.f64 (/.f64 (sin.f64 kx) (neg.f64 th)))
(/.f64 (sin.f64 kx) th)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 2))
(fabs.f64 (/.f64 (sin.f64 kx) th))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 kx) th))))
(/.f64 (sin.f64 kx) th)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) th) 3))
(/.f64 (sin.f64 kx) th)
(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)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) th)) 1))
(/.f64 (sin.f64 kx) th)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) th)))
(/.f64 (sin.f64 kx) th)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
✓	0.2b	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	0.3b	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	0.6b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	ky	@	0	(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
1.0ms	th	@	0	(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
0.0ms	kx	@	0	(/.f64 (sin.f64 th) (sin.f64 kx))
0.0ms	kx	@	inf	(/.f64 (sin.f64 th) (sin.f64 kx))
0.0ms	kx	@	-inf	(/.f64 (sin.f64 th) (sin.f64 kx))

rewrite126.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-*r/`
886×	`associate-*l/`
816×	`associate-/r*`
768×	`swap-sqr`
598×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	255	94
2	3016	94

Stop Event

1×	node limit

Counts

4 → 321

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (sin.f64 th) (sin.f64 kx))
(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))

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

simplify189.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-/l*`
944×	`associate-r`
828×	`associate-l`
788×	`associate-+r+`
618×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	15437
1	1612	15265
2	7681	15265

Stop Event

1×	node limit

Counts

437 → 329

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 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 (*.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 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 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 2))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 kx) 3))) (.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (sin.f64 th) 4) (pow.f64 (sin.f64 kx) 4))) (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 4)) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))) 1)
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(/.f64 (/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 kx))) (neg.f64 (sqrt.f64 (sin.f64 kx))))
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(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
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(/.f64 (*.f64 (/.f64 (sin.f64 ky) 1) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) 1) 1) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) 1) (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))))
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(/.f64 (*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) 1)) (sin.f64 kx))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx)))) (sqrt.f64 (sin.f64 kx)))
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(/.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx)))) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))
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(/.f64 (/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 kx))) (neg.f64 (sqrt.f64 (sin.f64 kx))))
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(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3)
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(neg.f64 (*.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))) (sin.f64 ky)))
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 kx))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (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)) (/.f64 1 (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 (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)) (/.f64 1 (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 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 -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)) (sin.f64 kx)) (sqrt.f64 (sin.f64 th)))
(*.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 (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 (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)))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 0)
(+.f64 1 (+.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) -1))
(+.f64 1 (-.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))
(+.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) -1)
(+.f64 -1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(-.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)
(.f64 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)
(.f64 1 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 2) (cbrt.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1) 1) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) 3) 1) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))

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

eval606.0ms (1.5%)

Compiler: Compiled 28344 to 11180 computations (60.6% saved)

prune710.0ms (1.8%)

Pruning

89 alts after pruning (80 fresh and 9 done)

	Pruned	Kept	Total
New	1300	46	1346
Fresh	7	34	41
Picked	0	1	1
Done	1	8	9
Total	1308	89	1397

Error

Counts

1397 → 89

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(fma.f64 -1/6 (/.f64 ky (/.f64 kx (pow.f64 th 3))) (/.f64 th (/.f64 kx ky)))
	55.2b	(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)) 3) 1/3)
	31.2b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
	53.4b	(pow.f64 (/.f64 (/.f64 kx ky) (sin.f64 th)) -1)
	55.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) 2)
	53.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) 3)
	3.2b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	3.0b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	46.2b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 ky))
	47.5b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))) (sin.f64 kx))
	30.9b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.4b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	53.6b	(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx) (neg.f64 (*.f64 kx kx)))
	52.3b	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (.f64 kx (neg.f64 kx)) kx))
	53.4b	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	32.6b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx)))))
	46.1b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	15.5b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	30.9b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	55.2b	(/.f64 (*.f64 th ky) kx)
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	47.3b	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
✓	53.4b	(/.f64 (sin.f64 th) (/.f64 kx ky))
▶	0.3b	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
✓	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	30.0b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky)))
	47.3b	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
	52.9b	(/.f64 (sin.f64 ky) (fma.f64 -1/6 (.f64 th kx) (-.f64 (.f64 (pow.f64 th 3) (*.f64 kx -7/360)) (/.f64 kx th))))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	28.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	42.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th))
▶	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	52.4b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
✓	49.7b	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
	53.2b	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
	51.2b	(/.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 kx))) (sin.f64 th)))
	52.8b	(/.f64 (sin.f64 ky) (-.f64 (.f64 th (.f64 kx -1/6)) (/.f64 kx th)))
	52.4b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 th kx))))
	52.9b	(/.f64 (sin.f64 ky) (+.f64 (.f64 -1/6 (.f64 th kx)) (+.f64 (.f64 -1 (/.f64 kx th)) (+.f64 (.f64 (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)) (pow.f64 th 3)) (.f64 (+.f64 (.f64 1/720 kx) (+.f64 (.f64 -1/5040 kx) (.f64 1/6 (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx))))) (pow.f64 th 5))))))
	52.9b	(/.f64 (sin.f64 ky) (+.f64 (.f64 -1/6 (.f64 th kx)) (+.f64 (.f64 -1 (/.f64 kx th)) (.f64 (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)) (pow.f64 th 3)))))
	49.7b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 -1 (/.f64 1 kx)) (/.f64 1 (sin.f64 th))))
	49.7b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 -1 (sin.f64 th)) kx))
	54.3b	(/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx))
	52.1b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	45.4b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	59.2b	(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
	50.1b	(/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx ky))
▶	52.4b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	54.9b	(/.f64 th (/.f64 kx ky))
	55.0b	(/.f64 ky (/.f64 kx th))
	53.1b	(/.f64 ky (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 (sin.f64 kx) th))))
	3.0b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	47.3b	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
	53.8b	(-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 th 3)) (sin.f64 ky)) kx) (*.f64 (sin.f64 ky) (/.f64 th kx)))
	50.8b	(-.f64 (.f64 1/6 (.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) kx))) (*.f64 (sin.f64 th) (/.f64 ky kx)))
	55.8b	(+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx)))
	55.7b	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	56.8b	(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/36 th) (.f64 1/6 (/.f64 1 th))) (.f64 (sin.f64 ky) kx)) (pow.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) 2))) (/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx)))
	51.9b	(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 th) ky) kx)) (.f64 1/6 (/.f64 (.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))
	53.5b	(*.f64 (/.f64 (sin.f64 th) (/.f64 1 ky)) (/.f64 1 kx))
	47.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	48.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	53.2b	(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
	49.7b	(*.f64 (/.f64 (sin.f64 th) kx) (neg.f64 (sin.f64 ky)))
	53.4b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	52.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	49.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	53.4b	(*.f64 (/.f64 ky kx) (sin.f64 th))
▶	55.0b	(*.f64 (/.f64 ky kx) th)
	61.8b	(*.f64 (/.f64 6 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
	47.5b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	53.6b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 th) ky))
	53.4b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 ky) (sin.f64 th)))
	56.9b	(.f64 (.f64 kx kx) (*.f64 (/.f64 (sin.f64 ky) (neg.f64 (pow.f64 kx 3))) (sin.f64 th)))
	56.3b	(.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (*.f64 (sin.f64 th) 1/6) kx)))
	61.8b	(*.f64 6 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th))
	50.9b	(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx))
	51.3b	(.f64 -1 (/.f64 (.f64 (sin.f64 th) ky) kx))
	54.3b	(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) kx))
✓	51.0b	(sin.f64 th)
	50.1b	(neg.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
✓	47.8b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	43.1b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
▶	43.1b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	53.8b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))))

Compiler

Compiled 2402 to 1687 computations (29.8% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 14 computations (71.4% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Expression
2.0ms	kx	@	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
0.0ms	ky	@	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
0.0ms	ky	@	(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.0ms	th	@	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
0.0ms	kx	@	(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite86.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`associate-*l/`
1518×	`associate-/l*`
630×	`associate-/r/`
362×	`associate-/l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	288	60
2	3721	60

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

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

simplify169.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1398×	`associate-/r/`
1280×	`distribute-lft-in`
968×	`associate-/l/`
538×	`*-commutative`
492×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	419	10228
1	1165	8946
2	4640	8946

Stop Event

1×	node limit

Counts

164 → 222

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(*.f64 (/.f64 ky kx) th)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series45.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	kx	@	-inf	(*.f64 (/.f64 ky kx) th)
1.0ms	ky	@	0	(*.f64 (/.f64 ky kx) th)
1.0ms	kx	@	0	(*.f64 (/.f64 ky kx) th)
0.0ms	ky	@	inf	(*.f64 (/.f64 ky kx) th)
0.0ms	kx	@	inf	(*.f64 (/.f64 ky kx) th)

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify49.0ms (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 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(/.f64 (*.f64 th ky) kx)
(-.f64 (+.f64 1 (*.f64 (/.f64 ky kx) th)) 1)
(/.f64 ky (/.f64 kx th))
(/.f64 th (/.f64 kx ky))
(/.f64 1 (/.f64 kx (*.f64 ky th)))
(/.f64 (*.f64 ky th) kx)
(/.f64 (*.f64 th (neg.f64 ky)) (neg.f64 kx))
(/.f64 (*.f64 (neg.f64 ky) th) (neg.f64 kx))
(/.f64 (/.f64 (*.f64 ky th) 1) kx)
(/.f64 (/.f64 (*.f64 ky th) (sqrt.f64 kx)) (sqrt.f64 kx))
(/.f64 (/.f64 (*.f64 ky th) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 kx))
(/.f64 (neg.f64 (*.f64 ky th)) (neg.f64 kx))
(pow.f64 (*.f64 (/.f64 ky kx) th) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 ky kx) th)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) th)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 2))
(log.f64 (pow.f64 (exp.f64 th) (/.f64 ky kx)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 ky kx) th)))
(exp.f64 (log.f64 (*.f64 (/.f64 ky kx) th)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 ky kx) th)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 ky kx) th)))

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series10.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/l*`
1376×	`associate-*r/`
1070×	`*-commutative`
932×	`associate-*l/`
444×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	207	36
2	2801	36

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

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

simplify131.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-/r/`
996×	`distribute-rgt-in`
984×	`distribute-lft-in`
506×	`*-commutative`
490×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	4824
1	1080	4720
2	3987	4660

Stop Event

1×	node limit

Counts

184 → 208

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

102 → 103

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

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

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

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`*-commutative`
912×	`associate-*r/`
796×	`associate-/r*`
782×	`unswap-sqr`
648×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	220	40
2	2789	40

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify130.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/l*`
892×	`distribute-rgt-in`
890×	`distribute-lft-in`
522×	`associate-r`
510×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	7221
1	1295	7041
2	5337	7003

Stop Event

1×	node limit

Counts

205 → 263

Calls

Call 1

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

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

eval323.0ms (0.8%)

Compiler: Compiled 21254 to 8862 computations (58.3% saved)

prune328.0ms (0.8%)

Pruning

110 alts after pruning (96 fresh and 14 done)

	Pruned	Kept	Total
New	951	41	992
Fresh	20	55	75
Picked	0	1	1
Done	0	13	13
Total	971	110	1081

Error

Counts

1081 → 110

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(fma.f64 -1/6 (/.f64 ky (/.f64 kx (pow.f64 th 3))) (/.f64 th (/.f64 kx ky)))
	31.2b	(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)
	53.4b	(pow.f64 (/.f64 (/.f64 kx ky) (sin.f64 th)) -1)
	52.6b	(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) -1)
	51.0b	(pow.f64 (/.f64 1 (sin.f64 th)) -1)
	55.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) 2)
	55.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 ky kx) th)) 3)
	53.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) 3)
	51.2b	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	3.2b	(/.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))) -1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	3.0b	(/.f64 (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.9b	(/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.4b	(/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	52.3b	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (.f64 kx (neg.f64 kx)) kx))
	32.6b	(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	2.9b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	15.5b	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	30.9b	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	54.7b	(/.f64 (*.f64 (sin.f64 ky) th) kx)
	55.2b	(/.f64 (*.f64 th ky) kx)
✓	0.2b	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	53.4b	(/.f64 (sin.f64 th) (/.f64 kx ky))
✓	0.3b	(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
✓	0.3b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
	30.0b	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky)))
	47.3b	(/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (/.f64 1 (sin.f64 ky))))
✓	0.2b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	28.3b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	42.0b	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th))
✓	51.0b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	55.9b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) th))
	52.4b	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
✓	49.7b	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th)))
	53.2b	(/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) th))
	51.2b	(/.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 kx))) (sin.f64 th)))
	57.7b	(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
	52.8b	(/.f64 (sin.f64 ky) (-.f64 (.f64 th (.f64 kx -1/6)) (/.f64 kx th)))
	55.3b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (.f64 1/6 (.f64 (sin.f64 ky) th))))
	52.4b	(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 kx) th) (.f64 1/6 (.f64 th kx))))
	52.9b	(/.f64 (sin.f64 ky) (+.f64 (.f64 -1/6 (.f64 th kx)) (+.f64 (.f64 -1 (/.f64 kx th)) (.f64 (+.f64 (.f64 -1/36 kx) (.f64 1/120 kx)) (pow.f64 th 3)))))
	49.7b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 -1 (/.f64 1 kx)) (/.f64 1 (sin.f64 th))))
	49.7b	(/.f64 (sin.f64 ky) (*.f64 (/.f64 -1 (sin.f64 th)) kx))
	54.3b	(/.f64 (sin.f64 ky) (.f64 (+.f64 (/.f64 1 th) (.f64 1/6 th)) kx))
	52.1b	(/.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
	45.4b	(/.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
	59.2b	(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 kx (sin.f64 th)))))
	50.1b	(/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx ky))
	54.6b	(/.f64 th (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx) (sin.f64 ky)))
✓	52.4b	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	53.8b	(/.f64 th (/.f64 (sin.f64 kx) ky))
	54.9b	(/.f64 th (/.f64 kx ky))
	53.0b	(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (.f64 1/6 (.f64 (sin.f64 kx) ky))))
	54.2b	(/.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))))
	54.7b	(/.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))))
	51.0b	(/.f64 th (fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 ky))))
	56.7b	(/.f64 th (expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))))
	57.4b	(/.f64 th (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))))
	55.0b	(/.f64 ky (/.f64 kx th))
	3.0b	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	47.3b	(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
	55.2b	(/.f64 1 (/.f64 kx (*.f64 ky th)))
	55.4b	(-.f64 (+.f64 1 (*.f64 (/.f64 ky kx) th)) 1)
	58.1b	(+.f64 (.f64 1/6 (.f64 (sin.f64 ky) (.f64 th kx))) (/.f64 (.f64 (sin.f64 ky) th) kx))
	55.8b	(+.f64 (.f64 1/120 (/.f64 (.f64 ky (pow.f64 th 5)) kx)) (+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx)))
	56.3b	(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
	55.7b	(+.f64 (.f64 -1/6 (/.f64 (.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
	51.2b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))
	53.5b	(*.f64 (/.f64 (sin.f64 th) (/.f64 1 ky)) (/.f64 1 kx))
	47.3b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	48.9b	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	53.2b	(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
	49.7b	(*.f64 (/.f64 (sin.f64 th) kx) (neg.f64 (sin.f64 ky)))
	53.4b	(*.f64 (/.f64 (sin.f64 th) kx) ky)
✓	0.2b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	28.5b	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	52.4b	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	54.5b	(*.f64 (/.f64 (sin.f64 ky) kx) th)
	52.6b	(*.f64 (/.f64 th (/.f64 1 (sin.f64 ky))) (/.f64 1 (sin.f64 kx)))
	53.8b	(*.f64 (/.f64 th (sin.f64 kx)) ky)
	49.0b	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	53.4b	(*.f64 (/.f64 ky kx) (sin.f64 th))
✓	55.0b	(*.f64 (/.f64 ky kx) th)
	47.5b	(.f64 (/.f64 1 (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))
	53.6b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 th) ky))
	53.4b	(.f64 (/.f64 1 kx) (.f64 (sin.f64 ky) (sin.f64 th)))
	57.9b	(.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (.f64 (*.f64 (sin.f64 ky) 1/6) kx)))
	55.0b	(*.f64 ky (/.f64 th kx))
	61.8b	(*.f64 6 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th))
	50.9b	(.f64 -1 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) kx))
	51.3b	(.f64 -1 (/.f64 (.f64 (sin.f64 th) ky) kx))
	54.3b	(.f64 -1 (/.f64 (.f64 (sin.f64 ky) th) kx))
	55.2b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 ky kx) th) 2))
	49.2b	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	51.0b	(sin.f64 th)
	50.1b	(neg.f64 (*.f64 (sin.f64 th) (/.f64 ky kx)))
✓	47.8b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	51.0b	(log1p.f64 (expm1.f64 (sin.f64 th)))
	50.2b	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 th))))
	50.2b	(log.f64 (exp.f64 (sin.f64 th)))
	45.0b	(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
	49.3b	(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th)))
	43.2b	(fabs.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))))
✓	43.1b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	45.0b	(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
	43.2b	(fabs.f64 (.f64 (sin.f64 th) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky))))
	49.3b	(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx))))
	54.7b	(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
	58.0b	(exp.f64 (log.f64 (sin.f64 th)))
	49.4b	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
	55.7b	th

Compiler

Compiled 1340 to 952 computations (29% saved)

regimes694.0ms (1.8%)

Counts

151 → 1

Calls

Call 1

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

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

Calls

9 calls:

83.0ms	th
83.0ms	ky
80.0ms	(sin.f64 th)
75.0ms	(sin.f64 ky)
75.0ms	kx

Results

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

Compiler

Compiled 1609 to 613 computations (61.9% saved)

regimes1.3s (3.4%)

Counts

131 → 5

Calls

Call 1

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

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

Calls

6 calls:

367.0ms	ky
241.0ms	kx
210.0ms	th
168.0ms	(sin.f64 th)
162.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
14.8b	3	`kx`
12.6b	5	`ky`
13.6b	3	`th`
13.8b	3	`(sin.f64 ky)`
14.8b	3	`(sin.f64 kx)`
13.7b	3	`(sin.f64 th)`

Compiler

Compiled 1308 to 506 computations (61.3% saved)

bsearch387.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
110.0ms	9.129634643770058e+141	1.850543808002206e+147
86.0ms	1.3329341654865729e+67	1.7725690477159108e+69
90.0ms	0.001538006168103411	6.274297291789957
100.0ms	-383568377778.96564	-1.420269431920062e-8

Results

215.0ms	224×	body	1024	valid
91.0ms	166×	body	512	valid
71.0ms	170×	body	256	valid

Compiler

Compiled 1253 to 881 computations (29.7% saved)

regimes1.4s (3.5%)

Counts

125 → 5

Calls

Call 1

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

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

Calls

6 calls:

349.0ms	ky
287.0ms	kx
196.0ms	(sin.f64 th)
181.0ms	(sin.f64 ky)
164.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
15.2b	3	`kx`
12.8b	5	`ky`
13.6b	3	`th`
14.1b	3	`(sin.f64 ky)`
15.2b	3	`(sin.f64 kx)`
13.7b	3	`(sin.f64 th)`

Compiler

Compiled 1243 to 482 computations (61.2% saved)

bsearch532.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
184.0ms	9.129634643770058e+141	1.850543808002206e+147
99.0ms	1.3329341654865729e+67	1.7725690477159108e+69
114.0ms	0.001538006168103411	6.274297291789957
134.0ms	-383568377778.96564	-1.420269431920062e-8

Results

301.0ms	221×	body	1024	valid
133.0ms	174×	body	512	valid
88.0ms	165×	body	256	valid

Compiler

Compiled 1073 to 736 computations (31.4% saved)

regimes1.5s (3.9%)

Counts

124 → 5

Calls

Call 1

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

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

Calls

6 calls:

318.0ms	ky
305.0ms	(sin.f64 kx)
269.0ms	(sin.f64 th)
249.0ms	th
191.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
15.2b	3	`kx`
12.8b	5	`ky`
13.6b	3	`th`
14.1b	3	`(sin.f64 ky)`
15.2b	3	`(sin.f64 kx)`
13.7b	3	`(sin.f64 th)`

Compiler

Compiled 1231 to 478 computations (61.2% saved)

bsearch347.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
109.0ms	9.129634643770058e+141	1.850543808002206e+147
66.0ms	1.3329341654865729e+67	1.7725690477159108e+69
70.0ms	0.001538006168103411	6.274297291789957
101.0ms	-383568377778.96564	-1.420269431920062e-8

Results

192.0ms	221×	body	1024	valid
101.0ms	170×	body	512	valid
43.0ms	169×	body	256	valid

Compiler

Compiled 1043 to 706 computations (32.3% saved)

regimes1.4s (3.5%)

Counts

123 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

340.0ms	ky
266.0ms	th
246.0ms	(sin.f64 ky)
166.0ms	(sin.f64 th)
164.0ms	kx

Results

Error	Segments	Branch
15.2b	3	`kx`
15.4b	5	`ky`
13.6b	3	`th`
16.7b	3	`(sin.f64 ky)`
15.2b	3	`(sin.f64 kx)`
13.7b	3	`(sin.f64 th)`

Compiler

Compiled 1219 to 474 computations (61.1% saved)

bsearch132.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	49857.509930199005	92832.02203829993
91.0ms	-210831307.57108063	-0.00018678353917216228

Results

87.0ms	94×	body	1024	valid
26.0ms	98×	body	256	valid
16.0ms	32×	body	512	valid

Compiler

Compiled 417 to 275 computations (34.1% saved)

regimes1.3s (3.4%)

Counts

119 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

357.0ms	ky
257.0ms	th
229.0ms	(sin.f64 ky)
160.0ms	(sin.f64 th)
159.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
15.2b	3	`kx`
23.2b	5	`ky`
14.8b	3	`th`
24.7b	3	`(sin.f64 ky)`
15.2b	3	`(sin.f64 kx)`
14.8b	3	`(sin.f64 th)`

Compiler

Compiled 1177 to 463 computations (60.7% saved)

bsearch217.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	0.004619975094437522	0.40518978812144163
143.0ms	-210831307.57108063	-0.00018678353917216228

Results

159.0ms	124×	body	1024	valid
30.0ms	102×	body	256	valid
23.0ms	46×	body	512	valid

Compiler

Compiled 501 to 325 computations (35.1% saved)

regimes688.0ms (1.8%)

Counts

115 → 3

Calls

Call 1

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

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

Calls

6 calls:

157.0ms	(sin.f64 th)
146.0ms	(sin.f64 kx)
142.0ms	kx
95.0ms	(sin.f64 ky)
60.0ms	ky

Results

Error	Segments	Branch
21.0b	3	`kx`
28.5b	1	`ky`
28.5b	1	`th`
27.3b	2	`(sin.f64 ky)`
18.8b	3	`(sin.f64 kx)`
27.2b	3	`(sin.f64 th)`

Compiler

Compiled 1137 to 455 computations (60% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.25825201769997e-11	8.916186592787768e-6
0.0ms	-0.01083380869588979	-0.010031371674070838

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.1s (2.8%)

Counts

114 → 5

Calls

Call 1

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

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

Calls

6 calls:

275.0ms	kx
228.0ms	(sin.f64 kx)
150.0ms	(sin.f64 th)
142.0ms	ky
141.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
30.6b	6	`kx`
37.0b	3	`ky`
35.6b	3	`th`
32.8b	3	`(sin.f64 ky)`
29.1b	5	`(sin.f64 kx)`
32.4b	3	`(sin.f64 th)`

Compiler

Compiled 1127 to 452 computations (59.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	2.8487031422063497e-149	3.103797673718923e-149
0.0ms	1.724938954103253e-285	7.258439005673961e-279
0.0ms	-7.750012783522722e-50	-7.66678602339769e-53

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.4s (3.7%)

Counts

107 → 5

Calls

Call 1

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

Calls

6 calls:

407.0ms	kx
266.0ms	th
208.0ms	(sin.f64 kx)
202.0ms	(sin.f64 ky)
198.0ms	ky

Results

Error	Segments	Branch
30.7b	6	`kx`
37.0b	3	`ky`
35.6b	3	`th`
32.8b	3	`(sin.f64 ky)`
29.1b	5	`(sin.f64 kx)`
35.6b	3	`(sin.f64 th)`

Compiler

Compiled 1064 to 434 computations (59.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	2.8487031422063497e-149	3.103797673718923e-149
0.0ms	1.724938954103253e-285	7.258439005673961e-279
0.0ms	-7.750012783522722e-50	-7.66678602339769e-53

Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.3s (3.4%)

Counts

106 → 5

Calls

Call 1

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

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

Calls

6 calls:

337.0ms	(sin.f64 kx)
256.0ms	kx
237.0ms	(sin.f64 th)
174.0ms	th
155.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
32.1b	6	`kx`
37.0b	3	`ky`
36.1b	3	`th`
32.8b	3	`(sin.f64 ky)`
30.0b	5	`(sin.f64 kx)`
36.5b	3	`(sin.f64 th)`

Compiler

Compiled 1055 to 432 computations (59.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	2.8487031422063497e-149	3.103797673718923e-149
0.0ms	1.724938954103253e-285	7.258439005673961e-279
0.0ms	-7.750012783522722e-50	-7.66678602339769e-53

Compiler

Compiled 25 to 19 computations (24% saved)

regimes994.0ms (2.5%)

Counts

85 → 4

Calls

Call 1

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

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

Calls

6 calls:

305.0ms	th
166.0ms	(sin.f64 kx)
156.0ms	kx
146.0ms	(sin.f64 th)
103.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
35.3b	5	`kx`
37.0b	3	`ky`
39.7b	9	`th`
34.5b	3	`(sin.f64 ky)`
33.2b	4	`(sin.f64 kx)`
42.8b	3	`(sin.f64 th)`

Compiler

Compiled 735 to 284 computations (61.4% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.969909319700153e-102	5.7872634764813465e-78
0.0ms	-2.621176960179902e-226	-4.2457183669336894e-232
0.0ms	-0.01083380869588979	-0.010031371674070838

Compiler

Compiled 25 to 19 computations (24% saved)

regimes641.0ms (1.6%)

Counts

77 → 3

Calls

Call 1

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

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

Calls

6 calls:

143.0ms	kx
115.0ms	(sin.f64 kx)
94.0ms	ky
92.0ms	(sin.f64 th)
91.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
35.7b	5	`kx`
37.0b	3	`ky`
43.3b	3	`th`
34.5b	3	`(sin.f64 ky)`
34.8b	4	`(sin.f64 kx)`
43.7b	3	`(sin.f64 th)`

Compiler

Compiled 671 to 273 computations (59.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133
0.0ms	-5.145189079047534e-27	-2.53140860985483e-32

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes996.0ms (2.5%)

Counts

74 → 6

Calls

Call 1

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

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

Calls

6 calls:

287.0ms	(sin.f64 ky)
265.0ms	ky
115.0ms	(sin.f64 kx)
111.0ms	kx
110.0ms	(sin.f64 th)

Results

Error	Segments	Branch
38.2b	4	`kx`
38.0b	5	`ky`
43.9b	3	`th`
35.0b	6	`(sin.f64 ky)`
35.5b	4	`(sin.f64 kx)`
43.9b	3	`(sin.f64 th)`

Compiler

Compiled 647 to 269 computations (58.4% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133
0.0ms	8.202335532094417e-308	4.106374187755058e-307
0.0ms	-3.109261163190274e-155	-2.6493089122714542e-163
0.0ms	-2.3797384833556762e-133	-1.8376149491873133e-133
0.0ms	-6.9682975458025825e-50	-6.669279898406461e-50

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes842.0ms (2.1%)

Counts

69 → 3

Calls

Call 1

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

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

Calls

6 calls:

195.0ms	(sin.f64 th)
175.0ms	ky
154.0ms	(sin.f64 ky)
114.0ms	th
109.0ms	kx

Results

Error	Segments	Branch
38.2b	4	`kx`
38.0b	5	`ky`
46.3b	4	`th`
38.0b	4	`(sin.f64 ky)`
37.9b	3	`(sin.f64 kx)`
46.4b	4	`(sin.f64 th)`

Compiler

Compiled 615 to 256 computations (58.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	-2.621176960179902e-226	-4.2457183669336894e-232

Compiler

Compiled 25 to 19 computations (24% saved)

regimes475.0ms (1.2%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

6 calls:

106.0ms	ky
88.0ms	(sin.f64 ky)
75.0ms	(sin.f64 th)
71.0ms	kx
69.0ms	th

Results

Error	Segments	Branch
38.2b	4	`kx`
38.0b	5	`ky`
46.3b	4	`th`
38.0b	4	`(sin.f64 ky)`
37.9b	3	`(sin.f64 kx)`
46.4b	4	`(sin.f64 th)`

Compiler

Compiled 337 to 136 computations (59.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	-2.621176960179902e-226	-4.2457183669336894e-232

Compiler

Compiled 25 to 19 computations (24% saved)

regimes597.0ms (1.5%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

6 calls:

132.0ms	ky
113.0ms	(sin.f64 th)
103.0ms	kx
92.0ms	th
87.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
38.2b	4	`kx`
38.0b	5	`ky`
46.3b	4	`th`
38.0b	4	`(sin.f64 ky)`
37.9b	3	`(sin.f64 kx)`
46.4b	4	`(sin.f64 th)`

Compiler

Compiled 329 to 134 computations (59.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.7872634764813465e-78	6.52351055948838e-74
0.0ms	-2.621176960179902e-226	-4.2457183669336894e-232

Compiler

Compiled 25 to 19 computations (24% saved)

regimes696.0ms (1.8%)

Counts

42 → 4

Calls

Call 1

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

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

Calls

6 calls:

160.0ms	th
118.0ms	(sin.f64 th)
111.0ms	(sin.f64 ky)
108.0ms	ky
90.0ms	(sin.f64 kx)

Results

Error	Segments	Branch
38.4b	4	`kx`
38.0b	5	`ky`
45.5b	5	`th`
38.0b	4	`(sin.f64 ky)`
38.1b	3	`(sin.f64 kx)`
45.3b	7	`(sin.f64 th)`

Compiler

Compiled 321 to 132 computations (58.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133
0.0ms	8.202335532094417e-308	4.106374187755058e-307
0.0ms	-1.3906063934197625e-230	-1.001610194874296e-233

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes506.0ms (1.3%)

Counts

39 → 4

Calls

Call 1

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

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

Calls

6 calls:

117.0ms	(sin.f64 th)
95.0ms	th
94.0ms	ky
82.0ms	(sin.f64 ky)
60.0ms	kx

Results

Error	Segments	Branch
38.4b	4	`kx`
38.1b	5	`ky`
45.5b	5	`th`
38.0b	4	`(sin.f64 ky)`
38.1b	3	`(sin.f64 kx)`
45.3b	7	`(sin.f64 th)`

Compiler

Compiled 299 to 126 computations (57.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133
0.0ms	8.202335532094417e-308	4.106374187755058e-307
0.0ms	-1.3906063934197625e-230	-1.001610194874296e-233

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes418.0ms (1.1%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

6 calls:

100.0ms	(sin.f64 th)
83.0ms	ky
66.0ms	(sin.f64 ky)
66.0ms	th
58.0ms	kx

Results

Error	Segments	Branch
38.4b	4	`kx`
38.1b	5	`ky`
45.5b	5	`th`
38.1b	4	`(sin.f64 ky)`
38.1b	3	`(sin.f64 kx)`
45.3b	7	`(sin.f64 th)`

Compiler

Compiled 250 to 113 computations (54.8% saved)

bsearch432.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
108.0ms	8.003307109924894e-145	3.1602235059825798e-133
104.0ms	8.202335532094417e-308	4.106374187755058e-307
131.0ms	-1.3906063934197625e-230	-1.001610194874296e-233
89.0ms	-1.4050749982464986e+24	-383568377778.96564

Results

190.0ms	199×	body	1024	valid
120.0ms	111×	body	512	valid
115.0ms	234×	body	256	valid

Compiler

Compiled 673 to 503 computations (25.3% saved)

regimes438.0ms (1.1%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

6 calls:

116.0ms	kx
106.0ms	(sin.f64 kx)
64.0ms	ky
51.0ms	(sin.f64 th)
28.0ms	(sin.f64 ky)

Results

Error	Segments	Branch
41.8b	5	`kx`
40.7b	3	`ky`
48.1b	2	`th`
40.6b	2	`(sin.f64 ky)`
41.4b	4	`(sin.f64 kx)`
47.3b	3	`(sin.f64 th)`

Compiler

Compiled 229 to 108 computations (52.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes323.0ms (0.8%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

104.0ms	kx
68.0ms	(sin.f64 kx)
62.0ms	th
39.0ms	(sin.f64 th)
27.0ms	ky

Results

Error	Segments	Branch
41.8b	5	`kx`
40.7b	3	`ky`
48.1b	2	`th`
40.6b	2	`(sin.f64 ky)`
41.4b	4	`(sin.f64 kx)`
47.3b	3	`(sin.f64 th)`

Compiler

Compiled 136 to 66 computations (51.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes497.0ms (1.3%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

6 calls:

289.0ms	(sin.f64 kx)
77.0ms	kx
47.0ms	(sin.f64 ky)
29.0ms	ky
27.0ms	(sin.f64 th)

Results

Error	Segments	Branch
44.5b	5	`kx`
44.1b	3	`ky`
47.6b	3	`th`
44.1b	2	`(sin.f64 ky)`
44.6b	4	`(sin.f64 kx)`
47.6b	3	`(sin.f64 th)`

Compiler

Compiled 122 to 59 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes218.0ms (0.6%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	(sin.f64 kx)
58.0ms	kx
21.0ms	ky
19.0ms	th
19.0ms	(sin.f64 th)

Results

Error	Segments	Branch
44.5b	5	`kx`
44.2b	3	`ky`
47.6b	3	`th`
44.2b	2	`(sin.f64 ky)`
44.6b	4	`(sin.f64 kx)`
47.6b	3	`(sin.f64 th)`

Compiler

Compiled 92 to 50 computations (45.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.003307109924894e-145	3.1602235059825798e-133

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes77.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	(sin.f64 th)
21.0ms	th
15.0ms	ky
13.0ms	kx

Results

Error	Segments	Branch
48.0b	2	`kx`
45.3b	3	`ky`
48.2b	3	`th`
48.2b	3	`(sin.f64 th)`

Compiler

Compiled 64 to 35 computations (45.3% saved)

bsearch217.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	8.003307109924894e-145	3.1602235059825798e-133
133.0ms	-1.4050749982464986e+24	-383568377778.96564

Results

146.0ms	124×	body	1024	valid
38.0ms	74×	body	512	valid
30.0ms	122×	body	256	valid

Compiler

Compiled 325 to 239 computations (26.5% saved)

regimes58.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	th
15.0ms	ky
14.0ms	kx

Results

Error	Segments	Branch
50.7b	3	`kx`
49.5b	3	`ky`
53.5b	2	`th`

Compiler

Compiled 57 to 30 computations (47.4% saved)

bsearch182.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
95.0ms	8.003307109924894e-145	3.1602235059825798e-133
86.0ms	-6.669279898406461e-50	-5.923250223988887e-54

Results

108.0ms	113×	body	1024	valid
39.0ms	59×	body	512	valid
31.0ms	116×	body	256	valid

Compiler

Compiled 277 to 199 computations (28.2% saved)

regimes35.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	th
12.0ms	ky
10.0ms	kx

Results

Error	Segments	Branch
50.7b	3	`kx`
49.5b	3	`ky`
53.5b	2	`th`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch167.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
90.0ms	8.003307109924894e-145	3.1602235059825798e-133
77.0ms	-6.669279898406461e-50	-5.923250223988887e-54

Results

105.0ms	128×	body	1024	valid
30.0ms	50×	body	512	valid
27.0ms	110×	body	256	valid

Compiler

Compiled 277 to 199 computations (28.2% saved)

regimes26.0ms (0.1%)

Accuracy

Total -12.4b remaining (-25.1%)

Threshold costs -12.4b (-25.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	ky
8.0ms	th
8.0ms	kx

Results

Error	Segments	Branch
50.7b	3	`kx`
49.6b	3	`ky`
53.6b	2	`th`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch157.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	8.003307109924894e-145	3.1602235059825798e-133
74.0ms	-6.669279898406461e-50	-5.923250223988887e-54

Results

88.0ms	94×	body	1024	valid
32.0ms	61×	body	512	valid
31.0ms	133×	body	256	valid

Compiler

Compiled 277 to 199 computations (28.2% saved)

simplify116.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative`
24×	`+-commutative`
22×	`neg-mul-1`
22×	`neg-sub0`
18×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2700
1	289	2700
2	323	2700
3	343	2700
4	352	2700
5	354	2700

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 ky -5626256942481413/18446744073709551616) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 7378697629483821/4611686018427387904) (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky))) (if (<=.f64 ky 159999999999999997237884125426969573075836526009294916457234354405376) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 23000000000000000221222714469192431863553720135792068815432224968811955976675897315792150940498163064977956574749465861455215968367990802481152) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 ky -6640827866535439/9223372036854775808) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 7148113328562451/4611686018427387904) (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky))) (if (<=.f64 ky 340000000000000015082591239308134578154178379590385067259071939215360) (/.f64 (/.f64 (sin.f64 ky) (/.f64 1 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 191999999999999993468444236377752790308805585570772166249156976321419285790149627474604873394985500312936801657138989896987491483004608346203357184) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 ky -1152921504606847/4611686018427387904) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 1116892707587883/72057594037927936) (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky))) (if (<=.f64 ky 900000000000000065278292743376311613542536968681869759966389139931136) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 ky 61999999999999998006379688585349957686319061346523666327808485077784001668505799730950378192365135436051442456123614574960177914778720271335424) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(if (<=.f64 th -8070450532247929/576460752303423488) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (if (<=.f64 th 50000) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 th -5188146770730811/1152921504606846976) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (if (<=.f64 th 7148113328562451/1152921504606846976) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -6052837899185947/576460752303423488) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 (sin.f64 kx) 6189700196426901/309485009821345068724781056) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 (sin.f64 kx) 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) 3455165794209175/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) 3455165794209175/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) 3455165794209175/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) th)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) -6052837899185947/576460752303423488) (fabs.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -1742245718635205/348449143727040986586495598010130648530944) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -7161235833461889/105312291668557186697918027683670432318895095400549111254310977536) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 (/.f64 (sin.f64 th) kx) (neg.f64 (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 ky -69000000000000000) (sin.f64 th) (if (<=.f64 ky -2181479009415085/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 ky 1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 ky 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (neg.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky -60000000000000000) (sin.f64 th) (if (<=.f64 ky 2128087274640489/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 th (/.f64 kx ky)) (sin.f64 th)))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 4424576616881057/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 th (/.f64 kx ky)) th))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 4033068625326733/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (*.f64 ky (/.f64 th kx)) th))
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky -5626256942481413/18446744073709551616) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 7378697629483821/4611686018427387904) (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 ky))) (if (<=.f64 ky 159999999999999997237884125426969573075836526009294916457234354405376) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 ky 23000000000000000221222714469192431863553720135792068815432224968811955976675897315792150940498163064977956574749465861455215968367990802481152) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.f64 (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 th 1/6))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
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(if (<=.f64 (sin.f64 ky) -7161235833461889/105312291668557186697918027683670432318895095400549111254310977536) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (neg.f64 (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 ky) -7161235833461889/105312291668557186697918027683670432318895095400549111254310977536) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (/.f64 (neg.f64 ky) kx)) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (sin.f64 ky) (/.f64 (neg.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
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(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 (/.f64 (sin.f64 th) kx) (neg.f64 (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) -5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 (/.f64 (sin.f64 th) kx) (neg.f64 (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (sin.f64 th) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (neg.f64 (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (/.f64 (neg.f64 ky) kx)) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (neg.f64 (/.f64 ky kx))) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (sin.f64 th) (/.f64 (neg.f64 ky) kx)) (if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 ky -69000000000000000) (sin.f64 th) (if (<=.f64 ky -2181479009415085/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 ky 1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (neg.f64 (.f64 (sin.f64 th) (/.f64 ky kx))) (if (<=.f64 ky 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 ky -69000000000000000) (sin.f64 th) (if (<=.f64 ky -2181479009415085/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (if (<=.f64 ky 1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (.f64 (sin.f64 th) (neg.f64 (/.f64 ky kx))) (if (<=.f64 ky 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky -69000000000000000) (sin.f64 th) (if (<=.f64 ky -2181479009415085/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (if (<=.f64 ky 1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (.f64 (sin.f64 th) (/.f64 (neg.f64 ky) kx)) (if (<=.f64 ky 1361730492884795/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (neg.f64 (*.f64 (sin.f64 th) (/.f64 ky kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (sin.f64 th) (neg.f64 (/.f64 ky kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (sin.f64 th) (/.f64 (neg.f64 ky) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 (sin.f64 th) kx) ky) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) 439347050248359/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 ky -60000000000000000) (sin.f64 th) (if (<=.f64 ky 2128087274640489/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 th (/.f64 kx ky)) (sin.f64 th)))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 4424576616881057/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 th (/.f64 kx ky)) th))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 4033068625326733/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (*.f64 (/.f64 ky kx) th) th))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 4033068625326733/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (*.f64 th (/.f64 ky kx)) th))
(if (<=.f64 ky -6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) th (if (<=.f64 ky 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (*.f64 ky (/.f64 th kx)) th))
th

Compiler

Compiled 1035 to 535 computations (48.3% saved)

soundness125.0ms (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

Compiler

Compiled 81 to 37 computations (54.3% saved)

end330.0ms (0.8%)

Compiler: Compiled 954 to 305 computations (68% saved)