Details

analyze5.7s (6.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
3.1%	3.1%	96.6%	0.2%	0%	0%	0%	11
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 39 to 24 computations (38.5% saved)

sample32.7s (35.3%)

Results

22.7s	4063×	body	1024	valid
5.8s	1414×	body	512	valid
4.0s	2764×	body	256	valid
123.0ms	15×	body	2048	valid

Bogosity

preprocess390.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1034×	`rational_best-simplify-108`
1018×	`rational_best-simplify-1`
666×	`rational_best-simplify-65`
608×	`rational_best-simplify-55`
508×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1199
1	367	1199
2	1071	1199
3	2624	1199
4	7107	1199
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 lambda1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi2 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 delta (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 lambda1)) (cos.f64 phi1)) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (cos.f64 theta)))))))))
(+.f64 theta (atan2.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 lambda1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi1)) (cos.f64 delta)) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (cos.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 theta) (cos.f64 delta)) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi2)) (cos.f64 phi1)) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi2) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 phi1)) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (cos.f64 delta)))))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 lambda1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 lambda1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 lambda1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 lambda1) (cos.f64 theta))))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 lambda1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 lambda1))))))))))
(+.f64 phi2 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) phi2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))) phi2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) phi2)
(+.f64 delta (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 lambda1)) (cos.f64 phi1)) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (cos.f64 theta)))))))))
(+.f64 delta (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (sin.f64 lambda1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (cos.f64 theta))))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 lambda1))))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 theta) (cos.f64 phi1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 lambda1))))))))))
(+.f64 theta (atan2.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 lambda1)))))))))
(+.f64 theta (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 lambda1)))))))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))))))
(+.f64 theta (atan2.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (sin.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi2)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi2)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi2) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi2)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi2)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi1)) (cos.f64 delta)) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 phi1))) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 delta) (sin.f64 phi1))) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 delta) (sin.f64 phi1))) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 delta) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (cos.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 theta) (cos.f64 delta)) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (sin.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 theta) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))) (.f64 (sin.f64 theta) (cos.f64 delta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)) (.f64 (sin.f64 theta) (cos.f64 delta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi2)) (cos.f64 phi1)) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi2) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi2) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (sin.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 phi1)) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (cos.f64 delta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (cos.f64 delta))))))))))

Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify251.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational_best-simplify-75`
1596×	`rational_best-simplify-76`
838×	`rational_best-simplify-64`
396×	`rational_best-simplify-65`
388×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	109
1	59	109
2	152	109
3	371	109
4	966	109
5	4663	109

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))))

eval3.0ms (0%)

Compiler: Compiled 170 to 49 computations (71.2% saved)

prune15.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Status

Error

Program

▶

0.1b

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

▶

0.1b

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Compiler

Compiled 76 to 45 computations (40.8% saved)

localize153.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
✓	0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))
✓	0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))
✓	0.5b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))

Compiler

Compiled 197 to 22 computations (88.8% saved)

series161.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
89.0ms	delta	@	inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
20.0ms	phi1	@	-inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
20.0ms	delta	@	0	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
5.0ms	phi1	@	0	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
3.0ms	phi1	@	inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))

rewrite267.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`rational_best-4`
962×	`rational_best-2`
962×	`rational_best-3`
962×	`rational_best-1`
962×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	210
1	156	210
2	456	210
3	2033	210

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))
(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) (neg.f64 (.f64 (sin.f64 delta) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) (neg.f64 (neg.f64 (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2) (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (cos.f64 (+.f64 (-.f64 1 phi1) (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2) (/.f64 (+.f64 (cos.f64 delta) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 (.f64 (cos.f64 delta) 2) (cos.f64 (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) phi1))) (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (+.f64 (-.f64 1 phi1) (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 1))) (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 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simplify699.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1060×	`rational_best-simplify-64`
1040×	`rational_best-simplify-3`
972×	`rational_best-simplify-1`
934×	`rational_best-simplify-50`
798×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	18384
1	1163	18196
2	3152	18088

Stop Event

1×	node limit

Counts

254 → 305

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
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(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (-.f64 (cos.f64 (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) phi1)) (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (+.f64 (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1)))))) 4)
(/.f64 (/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) 2))) 2) 2) 4)
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2) (.f64 (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)) 4)
(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 1)
(+.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)
(+.f64 0 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2))
(-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)
(-.f64 (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) (/.f64 (neg.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))
(.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) 1/2)
(.f64 1/2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2))
(.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)) 1/4)
(/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(/.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) 2)
(/.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)) 4)
(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(+.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 0)
(+.f64 0 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2) (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2))
(-.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 0)
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 2))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 2)) (.f64 (sin.f64 delta) (sin.f64 theta))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)))) 4)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1)

Outputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (.f64 (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(-.f64 (.f64 (sin.f64 phi1) (neg.f64 (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (+.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (*.f64 (pow.f64 delta 2) -1)) 1)) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (cos.f64 theta) (.f64 (*.f64 (cos.f64 phi1) delta) (sin.f64 phi1))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (+.f64 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (.f64 (pow.f64 delta 2) -1))) (+.f64 (.f64 (.f64 (cos.f64 theta) (.f64 (pow.f64 delta 3) (cos.f64 phi1))) (*.f64 (sin.f64 phi1) 1/6)) 1)) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))) (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (cos.f64 theta) (.f64 (.f64 (cos.f64 phi1) delta) (sin.f64 phi1))))) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 theta) (pow.f64 delta 3)) (*.f64 (sin.f64 phi1) 1/6)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (neg.f64 phi1))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (*.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta)))))
(+.f64 (cos.f64 delta) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (neg.f64 phi1))) (*.f64 (cos.f64 delta) (pow.f64 phi1 2))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))))
(+.f64 (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta)))) (+.f64 (.f64 -1 (.f64 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3))) (cos.f64 delta)))
(+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))) (+.f64 (cos.f64 delta) (neg.f64 (.f64 -2/3 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) (pow.f64 phi1 3))))))
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(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
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(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))
(.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (cos.f64 theta) (*.f64 phi1 (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (*.f64 (cos.f64 theta) (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))))
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(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (.f64 -2/3 (pow.f64 phi1 3))) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(pow.f64 (sin.f64 phi1) 2)
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))
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(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
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(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
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(+.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))) 2) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))) (cos.f64 (+.f64 1 (+.f64 phi1 (-.f64 -1 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))))))) 4))
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (+.f64 (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (-.f64 phi1 -1)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta))))))) (cos.f64 (+.f64 (-.f64 -1 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))) (+.f64 phi1 1)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) (cos.f64 (+.f64 1 (+.f64 phi1 (-.f64 -1 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))) (cos.f64 (+.f64 1 (+.f64 phi1 (-.f64 -1 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))))))) 2)
(/.f64 (/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) 2))) 2) 2) 4)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2) (.f64 (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 2)) 4)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))))
(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))) 1)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))))
(+.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(+.f64 0 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(+.f64 (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(-.f64 (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) (/.f64 (neg.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) 1/2)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 1/2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)) 1/4)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(/.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) 2)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(/.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)) 4)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(+.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 0)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 0 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2) (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(-.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 0)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 2))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 2)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 2)) (.f64 (sin.f64 delta) (sin.f64 theta))) 4)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(/.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)))) 4)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))

localize141.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))
✓	0.3b	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
✓	0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
✓	0.5b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

Compiler

Compiled 202 to 23 computations (88.6% saved)

series31.0ms (0%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
22.0ms	theta	@	0	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.0ms	theta	@	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.0ms	delta	@	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.0ms	theta	@	-inf	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.0ms	theta	@	inf	(*.f64 (sin.f64 theta) (sin.f64 delta))

rewrite263.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`rational_best-4`
1038×	`rational_best-2`
1038×	`rational_best-3`
1038×	`rational_best-1`
1038×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	200
1	160	200
2	491	200
3	2197	200

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(*.f64 (sin.f64 theta) (sin.f64 delta))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) (neg.f64 (.f64 (sin.f64 delta) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) (neg.f64 (neg.f64 (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2) (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (cos.f64 (+.f64 (-.f64 1 phi1) (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)) (neg.f64 (/.f64 (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2) (/.f64 (-.f64 (cos.f64 delta) (-.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (-.f64 (cos.f64 (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) phi1)) (.f64 (cos.f64 delta) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 1 phi1) (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (-.f64 (cos.f64 (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) phi1)) (.f64 (cos.f64 delta) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 1 phi1) (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 delta)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 phi1 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(2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1)))))

simplify667.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational_best-simplify-64`
1020×	`rational_best-simplify-65`
758×	`rational_best-simplify-1`
642×	`rational_best-simplify-49`
604×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	16625
1	1137	16509
2	3003	16145

Stop Event

1×	node limit

Counts

253 → 287

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) phi1)) (cos.f64 (+.f64 phi1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) 4)
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 phi1) (PI.f64)) (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) (cos.f64 (+.f64 (-.f64 phi1 1) (-.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) 4)
(/.f64 (/.f64 (.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))) 2) 2) 4)
(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)
(+.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 0)
(+.f64 0 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2))
(-.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 0)
(.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(.f64 1 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))
(.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 2) 1/2)
(.f64 1/2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 2))
(.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2)) 1/4)
(/.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(/.f64 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) 2)
(/.f64 (.f64 2 (.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 2)) 4)
(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(+.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(+.f64 0 (*.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2) (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) (/.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) (/.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) 0))
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) 2) 0))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(-.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(-.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 2) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(-.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(/.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 4)
(/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))) 2)
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 8)
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))))) 4)
(/.f64 (/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 2) 4)
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)

Outputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (.f64 (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 delta (cos.f64 theta)) (neg.f64 (sin.f64 phi1)))) (pow.f64 (sin.f64 phi1) 2)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (*.f64 (pow.f64 delta 2) -1)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (*.f64 (sin.f64 phi1) (cos.f64 phi1))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (+.f64 (.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (.f64 (pow.f64 delta 2) -1))) (+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 theta) (pow.f64 delta 3)) (*.f64 (cos.f64 phi1) (sin.f64 phi1)))) 1)) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))) (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) 1/6)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (.f64 1/6 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))))) (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (.f64 delta (cos.f64 theta)) (*.f64 (sin.f64 phi1) (cos.f64 phi1)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (neg.f64 phi1))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (+.f64 (*.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (cos.f64 delta)))
(+.f64 (cos.f64 delta) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (neg.f64 phi1))) (*.f64 (cos.f64 delta) (pow.f64 phi1 2))))
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(+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (.f64 -1 (.f64 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))) (+.f64 (cos.f64 delta) (neg.f64 (.f64 -2/3 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) (pow.f64 phi1 3))))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) 2/3)) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) (.f64 (sin.f64 delta) -1/24)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))))) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) -1/24)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 delta) -1/24)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) (.f64 (sin.f64 delta) -1/24))) (.f64 1/720 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) (.f64 (sin.f64 phi1) (sin.f64 delta)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))))) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) -1/24))) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6))) 1/720)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) (.f64 (sin.f64 delta) 1/720))) (+.f64 (+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 delta) -1/24))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))
(.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (cos.f64 theta) (*.f64 phi1 (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (*.f64 (cos.f64 theta) (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -2/3 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (pow.f64 phi1 3))) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (.f64 -2/3 (pow.f64 phi1 3))) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (.f64 (cos.f64 delta) (pow.f64 phi1 2))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -2/3 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (pow.f64 phi1 3))) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (.f64 (cos.f64 delta) (.f64 (pow.f64 phi1 4) -1/3)))))
(+.f64 (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (.f64 -2/3 (pow.f64 phi1 3))) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (cos.f64 delta) (.f64 -1/3 (pow.f64 phi1 4)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 phi1))))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 theta 2) (cos.f64 phi1))))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (*.f64 (sin.f64 phi1) (sin.f64 delta)))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (pow.f64 theta 2))))))
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(+.f64 (.f64 1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 theta 2) (cos.f64 phi1)))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) (*.f64 (sin.f64 delta) 1/24))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))))) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (pow.f64 theta 4))) 1/24))))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 delta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(*.f64 (sin.f64 delta) theta)
(*.f64 theta (sin.f64 delta))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (*.f64 (sin.f64 delta) theta))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 theta 3) (*.f64 (sin.f64 delta) -1/6)))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/6 (*.f64 (sin.f64 delta) (pow.f64 theta 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5)))))
(+.f64 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) -1/6)) (+.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 theta 5) (*.f64 (sin.f64 delta) 1/120))))
(+.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (pow.f64 theta 5))) (.f64 -1/6 (*.f64 (sin.f64 delta) (pow.f64 theta 3)))))
(+.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) -1/6)) (.f64 (pow.f64 theta 5) (*.f64 (sin.f64 delta) 1/120))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (pow.f64 theta 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5))))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 theta 5) (.f64 (sin.f64 delta) 1/120))) (+.f64 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) -1/6)) (.f64 (pow.f64 theta 7) (*.f64 (sin.f64 delta) -1/5040))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3)))) (+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (pow.f64 theta 5))) (.f64 -1/5040 (*.f64 (sin.f64 delta) (pow.f64 theta 7)))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) -1/6))) (+.f64 (.f64 (pow.f64 theta 5) (.f64 (sin.f64 delta) 1/120)) (.f64 (sin.f64 delta) (*.f64 -1/5040 (pow.f64 theta 7)))))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(*.f64 (sin.f64 theta) delta)
(*.f64 delta (sin.f64 theta))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta))
(+.f64 (.f64 delta (sin.f64 theta)) (.f64 (sin.f64 theta) (*.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 delta (sin.f64 theta)) (.f64 (pow.f64 delta 3) (*.f64 (sin.f64 theta) -1/6)))
(.f64 (sin.f64 theta) (+.f64 delta (.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (pow.f64 delta 5) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta)))
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(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 8)
(*.f64 (sin.f64 delta) (sin.f64 theta))
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)
(*.f64 (sin.f64 delta) (sin.f64 theta))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4)
(*.f64 (sin.f64 delta) (sin.f64 theta))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (+.f64 theta 1))) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (.f64 2 (.f64 (sin.f64 delta) (sin.f64 theta))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 (+.f64 theta theta) (+.f64 delta theta))))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 1 (+.f64 theta (-.f64 -1 delta)))) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (.f64 2 (.f64 (sin.f64 delta) (sin.f64 theta))))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (+.f64 theta 1)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 (+.f64 theta theta) (+.f64 delta theta)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (+.f64 1 (+.f64 theta (-.f64 -1 delta))))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (-.f64 theta -1)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (+.f64 (-.f64 -1 delta) (+.f64 theta 1)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (cos.f64 (-.f64 (+.f64 theta theta) (+.f64 delta theta)))))) 4)
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 4) (+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) 2) (/.f64 (cos.f64 (+.f64 1 (+.f64 theta (-.f64 -1 delta)))) 4)))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (.f64 2 (.f64 (sin.f64 delta) (sin.f64 theta))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (.f64 2 (.f64 (sin.f64 delta) (sin.f64 theta))))) 4)
(+.f64 (/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 2) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 4))
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (+.f64 (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 theta) (PI.f64)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))))) 4)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (+.f64 (-.f64 delta 1) (-.f64 1 theta)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2)
(/.f64 (/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) 2) 2) 4)
(*.f64 (sin.f64 delta) (sin.f64 theta))
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(*.f64 (sin.f64 delta) (sin.f64 theta))

eval796.0ms (0.9%)

Compiler: Compiled 29348 to 6767 computations (76.9% saved)

prune574.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	583	9	592
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	585	9	594

Error

0.1b

Counts

594 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
	16.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
▶	9.5b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
▶	2.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
▶	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
▶	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

Compiler

Compiled 490 to 318 computations (35.1% saved)

localize133.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
✓	0.3b	(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
✓	0.5b	(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))

Compiler

Compiled 163 to 21 computations (87.1% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Expression
1.0ms	delta	@	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))
0.0ms	phi1	@	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))
0.0ms	theta	@	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))
0.0ms	theta	@	(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
0.0ms	theta	@	(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))

rewrite401.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational_best-simplify-56`
788×	`rational_best-simplify-62`
600×	`rational_best-simplify-64`
584×	`rational_best-4`
584×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	145
1	127	145
2	357	145
3	1357	145
4	6565	145

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(-.f64 (cos.f64 delta) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))

(*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))

(*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (-.f64 (/.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2) (/.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2) (/.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) (*.f64 (cos.f64 delta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (+.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2) (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) 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((x /.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) 2)) (*.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 delta) (neg.f64 (sin.f64 phi1))) (*.f64 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1/2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (neg.f64 (sin.f64 phi1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 2) (/.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 2) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)) (*.f64 (sin.f64 delta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)) (*.f64 (sin.f64 delta) 2)) (*.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)) (*.f64 (sin.f64 delta) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) 2) (+.f64 (cos.f64 (+.f64 theta (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 phi1) 2)) (*.f64 2 (*.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))) (+.f64 (cos.f64 (+.f64 theta (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 theta) 2) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 theta) 2)) (*.f64 2 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2))) (*.f64 2 (*.f64 (sin.f64 delta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2))) (*.f64 2 (*.f64 (cos.f64 theta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta)))) (*.f64 (cos.f64 theta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta)))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)))) (*.f64 (sin.f64 delta) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta))) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2))))) (*.f64 (cos.f64 phi1) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 2) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) 2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))) 1)))))

simplify519.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1450×	`rational_best-simplify-75`
1382×	`rational_best-simplify-66`
1098×	`rational_best-simplify-1`
666×	`rational_best-simplify-47`
594×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	369	7676
1	942	7530
2	2267	7458
3	6247	7392

Stop Event

1×	node limit

Counts

120 → 252

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))) (pow.f64 (sin.f64 phi1) 2))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
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(/.f64 (.f64 (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))) (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (.f64 (cos.f64 theta) 2) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2)))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2))) (.f64 2 (.f64 (sin.f64 delta) 2))) 16)
(/.f64 (.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2))) (.f64 2 (.f64 (cos.f64 theta) 2))) 16)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta)))) (*.f64 (cos.f64 theta) 2)) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta)))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)))) (.f64 (sin.f64 delta) 2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (sin.f64 delta) 2) (cos.f64 theta))) (.f64 2 (.f64 (cos.f64 phi1) 2))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (.f64 (PI.f64) 1/2))))) (.f64 (cos.f64 phi1) 2)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2))))) 16)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))) 1)

Outputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (.f64 (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(-.f64 (.f64 (.f64 delta (*.f64 (cos.f64 phi1) (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (+.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (.f64 (pow.f64 delta 2) -1)) 1)) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (sin.f64 phi1) (cos.f64 phi1))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 phi1) (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))) (neg.f64 (sin.f64 phi1))) (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (.f64 (pow.f64 delta 2) -1))) (+.f64 (.f64 (.f64 (cos.f64 theta) (.f64 (pow.f64 delta 3) (cos.f64 phi1))) (.f64 (sin.f64 phi1) 1/6)) 1)) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (+.f64 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (sin.f64 phi1) (cos.f64 phi1))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))) (+.f64 1 (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (pow.f64 delta 3))) 1/6)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) (*.f64 (sin.f64 phi1) 1/6))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) (.f64 (sin.f64 phi1) 1/6)) (+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))) (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)))
(+.f64 (cos.f64 delta) (.f64 phi1 (neg.f64 (.f64 (cos.f64 theta) (sin.f64 delta)))))
(-.f64 (cos.f64 delta) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (*.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta)))))
(+.f64 (cos.f64 delta) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta))))))
(+.f64 (cos.f64 delta) (-.f64 0 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (*.f64 (cos.f64 theta) (sin.f64 delta))))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (*.f64 (cos.f64 delta) (pow.f64 phi1 2))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (.f64 -1 (.f64 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 phi1 (neg.f64 (.f64 (cos.f64 theta) (sin.f64 delta)))) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (.f64 (*.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3))))))
(+.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (neg.f64 phi1)) (+.f64 (-.f64 0 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)))) (cos.f64 delta)))
(+.f64 (-.f64 (cos.f64 delta) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))) (-.f64 (.f64 (cos.f64 delta) (neg.f64 (pow.f64 phi1 2))) (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 delta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))) (cos.f64 delta))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1/24 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 delta))))) (+.f64 (cos.f64 delta) (.f64 -1/24 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 4) (sin.f64 delta))))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))) (+.f64 (cos.f64 delta) (.f64 -1/24 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (pow.f64 theta 4))))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1/24 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (.f64 1/720 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) (.f64 (sin.f64 phi1) (sin.f64 delta))))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1/24 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 4) (sin.f64 delta))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 delta))))) (.f64 1/720 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (pow.f64 theta 6)))))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (.f64 (sin.f64 phi1) (pow.f64 theta 2)))) (+.f64 (cos.f64 delta) (.f64 -1/24 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (pow.f64 theta 4))))))) (.f64 (sin.f64 delta) (.f64 1/720 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6)))))) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 phi1))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (*.f64 (sin.f64 phi1) (cos.f64 phi1))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 phi1) (cos.f64 theta)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))
(+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (.f64 -1/2 (pow.f64 (*.f64 (sin.f64 phi1) delta) 2)))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (+.f64 (.f64 (.f64 delta (cos.f64 theta)) (.f64 (sin.f64 phi1) (cos.f64 phi1))) (.f64 -1/2 (pow.f64 (*.f64 (sin.f64 phi1) delta) 2))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))) (.f64 -1/2 (pow.f64 (*.f64 (sin.f64 phi1) delta) 2))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))) (.f64 (pow.f64 (sin.f64 phi1) 2) (-.f64 (*.f64 (pow.f64 delta 2) -1/2) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))
(+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (.f64 (cos.f64 phi1) (sin.f64 phi1)))) (+.f64 (.f64 (.f64 (cos.f64 theta) (.f64 (pow.f64 delta 3) (cos.f64 phi1))) (.f64 (sin.f64 phi1) -1/6)) (.f64 -1/2 (pow.f64 (*.f64 (sin.f64 phi1) delta) 2))))
(+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 delta (cos.f64 theta)) (.f64 (sin.f64 phi1) (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (pow.f64 (.f64 (sin.f64 phi1) delta) 2)) (.f64 (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (*.f64 (sin.f64 phi1) -1/6))))
(+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) (.f64 (sin.f64 phi1) -1/6))) (+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))) (.f64 -1/2 (pow.f64 (*.f64 (sin.f64 phi1) delta) 2))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta)))) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (-.f64 (.f64 (pow.f64 delta 2) -1/2) -1)) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) (*.f64 (sin.f64 phi1) -1/6))))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))
(.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (cos.f64 theta) (*.f64 phi1 (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (*.f64 (cos.f64 theta) (sin.f64 delta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (.f64 (cos.f64 theta) (sin.f64 delta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) -2/3) (pow.f64 phi1 3)) (.f64 (cos.f64 theta) (.f64 phi1 (sin.f64 delta)))) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (.f64 (cos.f64 delta) (pow.f64 phi1 2))))
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(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)) (.f64 (sin.f64 delta) 2)) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)) (.f64 (sin.f64 delta) 2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)) (.f64 (sin.f64 delta) 2))) 8)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 2) (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 phi1)) (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 theta (-.f64 delta (.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 2)) (.f64 2 (.f64 (.f64 (sin.f64 delta) 2) (cos.f64 theta)))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))) (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 1/2 (PI.f64)))))) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (.f64 (cos.f64 theta) 2) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))))) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 1/2 (PI.f64)) delta))))) 4)
(/.f64 (.f64 (cos.f64 theta) (.f64 2 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 1/2 (PI.f64)) delta)))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2)))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) (*.f64 2 (cos.f64 phi1))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 (*.f64 2 (cos.f64 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))))) 4)
(/.f64 (.f64 (.f64 2 (*.f64 (cos.f64 phi1) (sin.f64 delta))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 2 (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 1/2 (PI.f64)) delta)))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2))) (.f64 2 (.f64 (sin.f64 delta) 2))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) (*.f64 2 (cos.f64 phi1))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 (*.f64 2 (cos.f64 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))))) 4)
(/.f64 (.f64 (.f64 2 (*.f64 (cos.f64 phi1) (sin.f64 delta))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 2 (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2))) (.f64 2 (.f64 (cos.f64 theta) 2))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta)))) (*.f64 (cos.f64 theta) 2)) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 1/2 (PI.f64)) delta))))) 4)
(/.f64 (.f64 (cos.f64 theta) (.f64 2 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (*.f64 1/2 (PI.f64)) delta)))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 delta phi1)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta)))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (+.f64 phi1 (-.f64 (.f64 1/2 (PI.f64)) delta)))) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)))) (.f64 (sin.f64 delta) 2)) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (sin.f64 delta) 2) (cos.f64 theta))) (.f64 2 (.f64 (cos.f64 phi1) 2))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (.f64 (PI.f64) 1/2))))) (.f64 (cos.f64 phi1) 2)) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 phi1)) (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 theta (-.f64 delta (.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 theta (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 theta (-.f64 delta (*.f64 1/2 (PI.f64)))))) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2)))) 4)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) 2))))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 theta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (*.f64 2 (cos.f64 theta)) (sin.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (*.f64 2 (sin.f64 delta)))) 2)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))) 1)
(.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 delta)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 delta)))

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 delta)
✓	0.1b	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))
✓	0.1b	(*.f64 (sin.f64 delta) (cos.f64 phi1))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))

Compiler

Compiled 54 to 13 computations (75.9% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	delta	@	0	(*.f64 (sin.f64 delta) (cos.f64 phi1))
0.0ms	phi1	@	inf	(*.f64 (sin.f64 delta) (cos.f64 phi1))
0.0ms	delta	@	inf	(*.f64 (sin.f64 delta) (cos.f64 phi1))
0.0ms	phi1	@	-inf	(*.f64 (sin.f64 delta) (cos.f64 phi1))
0.0ms	delta	@	-inf	(*.f64 (sin.f64 delta) (cos.f64 phi1))

rewrite311.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`rational_best-simplify-1`
1082×	`rational_best-simplify-108`
1048×	`rational_best-simplify-3`
744×	`rational_best-simplify-56`
460×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	92	55
2	248	55
3	980	55
4	4735	55

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(*.f64 (sin.f64 delta) (cos.f64 phi1))
(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))
(cos.f64 delta)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (*.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (*.f64 (PI.f64) 1/2))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 0) (/.f64 (cos.f64 phi1) 2)) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2)))) (+.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 (cos.f64 phi1) 2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 phi1) 2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 (neg.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (neg.f64 delta)) 2) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))) (*.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 delta)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (neg.f64 (/.f64 (cos.f64 delta) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (*.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (+.f64 (*.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 delta) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (*.f64 (sin.f64 delta) 2) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 2 (*.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 delta) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 delta) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 0) (*.f64 2 (*.f64 (cos.f64 delta) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) (+.f64 (cos.f64 0) (cos.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 delta) 2))) (+.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 delta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) (-.f64 (*.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 0) (*.f64 2 (*.f64 (cos.f64 delta) 2))) (*.f64 (cos.f64 0) (*.f64 2 (*.f64 (cos.f64 delta) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))))

simplify488.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational_best-simplify-56`
1084×	`rational_best-simplify-50`
536×	`rational_best-simplify-47`
458×	`rational_best-simplify-1`
440×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3102
1	589	3102
2	1540	3082
3	6698	3082

Stop Event

1×	node limit

Counts

134 → 128

Calls

Call 1

Inputs
(*.f64 (cos.f64 phi1) delta)
(+.f64 (.f64 (cos.f64 phi1) delta) (.f64 -1/6 (*.f64 (cos.f64 phi1) (pow.f64 delta 3))))
(+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (.f64 1/120 (*.f64 (cos.f64 phi1) (pow.f64 delta 5)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 phi1) (pow.f64 delta 7))) (+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (.f64 1/120 (*.f64 (cos.f64 phi1) (pow.f64 delta 5))))))
(sin.f64 delta)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (sin.f64 delta))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (sin.f64 delta))) (sin.f64 delta)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (sin.f64 delta))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (sin.f64 delta))) (sin.f64 delta))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
1
(+.f64 (*.f64 -1/2 (pow.f64 delta 2)) 1)
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (.f64 1/24 (pow.f64 delta 4))))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 delta 4)) (*.f64 -1/720 (pow.f64 delta 6)))))
(+.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)
(+.f64 0 (*.f64 (sin.f64 delta) (cos.f64 phi1)))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (.f64 (PI.f64) 1/2))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (.f64 (PI.f64) 1/2))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) 2))
(-.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)
(-.f64 (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (cos.f64 phi1))) 2))
(/.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2)) 2)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (*.f64 (cos.f64 phi1) 2))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (cos.f64 phi1) 2))) 16)
(/.f64 (.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 phi1) 2)) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2))))) 1)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2)))) (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))))) 16)
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 phi1) 2)))) 32)
(pow.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))) 2))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 1/2)
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 2)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) 8)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))) 16)
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(+.f64 (cos.f64 delta) 0)
(+.f64 0 (cos.f64 delta))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 (neg.f64 delta)) 2))
(+.f64 (/.f64 (cos.f64 (neg.f64 delta)) 2) (/.f64 (cos.f64 delta) 2))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))))
(+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))) (.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))))
(+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)
(-.f64 (cos.f64 delta) 0)
(-.f64 0 (neg.f64 (cos.f64 delta)))
(-.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))
(-.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))
(-.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))
(-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 delta)) 2) 0))
(-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (neg.f64 (/.f64 (cos.f64 delta) 2)) 0))
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (+.f64 (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))) 0))
(*.f64 (cos.f64 delta) 1)
(*.f64 (cos.f64 delta) (cos.f64 0))
(.f64 (cos.f64 delta) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (cos.f64 delta))
(.f64 2 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)))
(.f64 (.f64 (cos.f64 delta) 2) 1/2)
(.f64 (.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))
(*.f64 (cos.f64 0) (cos.f64 delta))
(.f64 1/2 (.f64 (cos.f64 delta) 2))
(.f64 1/2 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 delta) 2) (sin.f64 0))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 delta) 2))
(*.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))
(*.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))
(.f64 1/4 (.f64 2 (*.f64 (cos.f64 delta) 2)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (cos.f64 delta) 2)))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) 2)
(/.f64 (cos.f64 delta) 1)
(/.f64 (*.f64 (cos.f64 delta) 2) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) 8)
(/.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(/.f64 (.f64 (cos.f64 0) (.f64 2 (*.f64 (cos.f64 delta) 2))) 4)
(/.f64 (.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) (+.f64 (cos.f64 0) (cos.f64 0))) 1)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2)))) 16)
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) (-.f64 (.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)))) 4)
(/.f64 (+.f64 (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 delta) 2))) (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 delta) 2)))) 8)
(pow.f64 (cos.f64 delta) 1)
(neg.f64 (neg.f64 (cos.f64 delta)))
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))

Outputs
(*.f64 (cos.f64 phi1) delta)
(+.f64 (.f64 (cos.f64 phi1) delta) (.f64 -1/6 (*.f64 (cos.f64 phi1) (pow.f64 delta 3))))
(+.f64 (.f64 (cos.f64 phi1) delta) (.f64 (cos.f64 phi1) (*.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 (cos.f64 phi1) delta) (.f64 (cos.f64 phi1) (*.f64 -1/6 (pow.f64 delta 3))))
(+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (.f64 1/120 (*.f64 (cos.f64 phi1) (pow.f64 delta 5)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) -1/6)) (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 5) 1/120)) (*.f64 (cos.f64 phi1) delta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 -1/6 (pow.f64 delta 3))) (+.f64 (.f64 (cos.f64 phi1) delta) (.f64 (cos.f64 phi1) (*.f64 1/120 (pow.f64 delta 5)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 phi1) (pow.f64 delta 7))) (+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (.f64 1/120 (*.f64 (cos.f64 phi1) (pow.f64 delta 5))))))
(+.f64 (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3))) (.f64 1/120 (.f64 (cos.f64 phi1) (pow.f64 delta 5)))) (+.f64 (.f64 (cos.f64 phi1) delta) (.f64 -1/5040 (*.f64 (cos.f64 phi1) (pow.f64 delta 7)))))
(+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) -1/6)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 5) 1/120))) (.f64 (cos.f64 phi1) (*.f64 (pow.f64 delta 7) -1/5040))))
(+.f64 (.f64 (cos.f64 phi1) delta) (+.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/6 (pow.f64 delta 3))) (.f64 (cos.f64 phi1) (.f64 1/120 (pow.f64 delta 5)))) (.f64 (cos.f64 phi1) (*.f64 -1/5040 (pow.f64 delta 7)))))
(sin.f64 delta)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (sin.f64 delta))
(+.f64 (sin.f64 delta) (.f64 -1/2 (.f64 (sin.f64 delta) (pow.f64 phi1 2))))
(+.f64 (sin.f64 delta) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (sin.f64 delta))) (sin.f64 delta)))
(+.f64 (sin.f64 delta) (+.f64 (.f64 (sin.f64 delta) (.f64 (pow.f64 phi1 4) 1/24)) (.f64 -1/2 (.f64 (sin.f64 delta) (pow.f64 phi1 2)))))
(+.f64 (sin.f64 delta) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) -1/2)) (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) 1/24))))
(+.f64 (sin.f64 delta) (.f64 (sin.f64 delta) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (sin.f64 delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (sin.f64 delta))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (sin.f64 delta))) (sin.f64 delta))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (pow.f64 phi1 2))) (+.f64 (sin.f64 delta) (+.f64 (.f64 (sin.f64 delta) (.f64 (pow.f64 phi1 6) -1/720)) (.f64 (sin.f64 delta) (.f64 (pow.f64 phi1 4) 1/24)))))
(+.f64 (+.f64 (sin.f64 delta) (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) -1/720))) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) -1/2)) (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) 1/24))))
(+.f64 (sin.f64 delta) (+.f64 (.f64 (sin.f64 delta) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/720 (pow.f64 phi1 6)))) (.f64 (pow.f64 phi1 2) (*.f64 (sin.f64 delta) -1/2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
1
(+.f64 (*.f64 -1/2 (pow.f64 delta 2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 delta 2)))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (.f64 1/24 (pow.f64 delta 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 delta 2)) (.f64 1/24 (pow.f64 delta 4))))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 delta 4)) (*.f64 -1/720 (pow.f64 delta 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/24 (pow.f64 delta 4)) (.f64 -1/720 (pow.f64 delta 6))) (*.f64 -1/2 (pow.f64 delta 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 (.f64 1/24 (pow.f64 delta 4)) (*.f64 -1/720 (pow.f64 delta 6)))))
(+.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(+.f64 0 (*.f64 (sin.f64 delta) (cos.f64 phi1)))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2))
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 delta phi1)))) 2)
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (*.f64 (PI.f64) 1/2)) delta))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 delta phi1)))) 2)
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) 2) (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (.f64 (PI.f64) 1/2))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) (cos.f64 (-.f64 (+.f64 phi1 delta) (.f64 (PI.f64) 1/2)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 delta phi1))) (cos.f64 (-.f64 (+.f64 phi1 delta) (.f64 (PI.f64) 1/2)))) 2)
(+.f64 (/.f64 (cos.f64 (-.f64 (+.f64 delta phi1) (.f64 (PI.f64) 1/2))) 2) (/.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta)) (cos.f64 (-.f64 (+.f64 phi1 delta) (.f64 (PI.f64) 1/2)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 delta phi1))) (cos.f64 (-.f64 (+.f64 phi1 delta) (.f64 (PI.f64) 1/2)))) 2)
(-.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (cos.f64 phi1))) 2))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) 2)) 2)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (*.f64 (cos.f64 phi1) 2))) 4)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2)))) 8)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (cos.f64 phi1) 2))) 16)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 phi1) 2)) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2))))) 1)
(.f64 (.f64 (cos.f64 phi1) (/.f64 (cos.f64 0) 2)) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2)))))
(.f64 (cos.f64 0) (.f64 (/.f64 (cos.f64 phi1) 2) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2))))))
(.f64 (cos.f64 phi1) (.f64 (/.f64 (cos.f64 0) 2) (+.f64 (sin.f64 delta) (cos.f64 (+.f64 delta (/.f64 (PI.f64) -2))))))
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2)))) (+.f64 (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (sin.f64 delta) (.f64 2 (.f64 (cos.f64 phi1) 2))))) 16)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 phi1) 2))) (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 phi1) 2)))) 32)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(pow.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 1/2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 1/4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(.f64 1/4 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2) 2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) 4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) 8)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2))) (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 2)))) 16)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (cos.f64 delta))
(+.f64 (cos.f64 delta) 0)
(cos.f64 delta)
(+.f64 0 (cos.f64 delta))
(cos.f64 delta)
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))
(cos.f64 delta)
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 (neg.f64 delta)) 2))
(cos.f64 delta)
(+.f64 (/.f64 (cos.f64 (neg.f64 delta)) 2) (/.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))))
(cos.f64 delta)
(+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 delta))) (.f64 (cos.f64 0) (cos.f64 (neg.f64 delta))))
(cos.f64 delta)
(+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)
(cos.f64 delta)
(-.f64 (cos.f64 delta) 0)
(cos.f64 delta)
(-.f64 0 (neg.f64 (cos.f64 delta)))
(cos.f64 delta)
(-.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 delta)) 2) 0))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (neg.f64 (/.f64 (cos.f64 delta) 2)) 0))
(cos.f64 delta)
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))
(cos.f64 delta)
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (+.f64 (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))) 0))
(cos.f64 delta)
(*.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(*.f64 (cos.f64 delta) (cos.f64 0))
(cos.f64 delta)
(.f64 (cos.f64 delta) (.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 delta)
(*.f64 1 (cos.f64 delta))
(cos.f64 delta)
(.f64 2 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(.f64 (.f64 (cos.f64 delta) 2) 1/2)
(cos.f64 delta)
(.f64 (.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))
(cos.f64 delta)
(*.f64 (cos.f64 0) (cos.f64 delta))
(cos.f64 delta)
(.f64 1/2 (.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(.f64 1/2 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 delta) 2) (sin.f64 0))))
(cos.f64 delta)
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(*.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))
(cos.f64 delta)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)
(cos.f64 delta)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))
(cos.f64 delta)
(*.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 delta)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))
(cos.f64 delta)
(.f64 1/4 (.f64 2 (*.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) 2)
(cos.f64 delta)
(/.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(/.f64 (*.f64 (cos.f64 delta) 2) 2)
(cos.f64 delta)
(/.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) 4)
(cos.f64 delta)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) 8)
(cos.f64 delta)
(/.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(cos.f64 delta)
(/.f64 (.f64 (cos.f64 0) (.f64 2 (*.f64 (cos.f64 delta) 2))) 4)
(cos.f64 delta)
(/.f64 (.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 delta) 2)) (+.f64 (cos.f64 0) (cos.f64 0))) 1)
(cos.f64 delta)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2)))) 16)
(cos.f64 delta)
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) (-.f64 (.f64 (cos.f64 delta) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)))) 4)
(cos.f64 delta)
(/.f64 (+.f64 (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 delta) 2))) (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 delta) 2)))) 8)
(cos.f64 delta)
(pow.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(neg.f64 (neg.f64 (cos.f64 delta)))
(cos.f64 delta)
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
✓	0.2b	(pow.f64 (sin.f64 phi1) 2)
✓	0.4b	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))

Compiler

Compiled 74 to 30 computations (59.5% saved)

series16.0ms (0%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	delta	@	inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
1.0ms	phi1	@	-inf	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
0.0ms	phi1	@	inf	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
0.0ms	phi1	@	0	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
0.0ms	phi1	@	0	(pow.f64 (sin.f64 phi1) 2)

rewrite288.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational_best-simplify-56`
504×	`rational_best-4`
504×	`rational_best-2`
504×	`rational_best-3`
504×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
1	116	75
2	285	75
3	1098	75
4	5212	75

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(pow.f64 (sin.f64 phi1) 2)
(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2) (/.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)) (-.f64 1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) (-.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) (*.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 phi1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 phi1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 phi1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (sin.f64 phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 phi1) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 phi1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2))) (*.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)))) 8)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))))

simplify458.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational_best-simplify-75`
1356×	`rational_best-simplify-76`
1288×	`rational_best-simplify-56`
1080×	`rational_best-simplify-3`
584×	`rational_best-simplify-66`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3547
1	327	3429
2	842	3375
3	3108	3369

Stop Event

1×	node limit

Counts

103 → 97

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 phi1 2)) 1)
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 1 (.f64 1/3 (pow.f64 phi1 4))))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 (.f64 -2/45 (pow.f64 phi1 6)) (+.f64 1 (*.f64 1/3 (pow.f64 phi1 4)))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (*.f64 -1/3 (pow.f64 phi1 4)))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/3 (pow.f64 phi1 4)) (.f64 2/45 (pow.f64 phi1 6))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/315 (pow.f64 phi1 8)) (+.f64 (.f64 -1/3 (pow.f64 phi1 4)) (*.f64 2/45 (pow.f64 phi1 6)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 0)
(+.f64 0 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 0 (-.f64 1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))
(+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 1)
(+.f64 -1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1)))
(+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))
(+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2) (/.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2) 2))
(+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)
(+.f64 (-.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1)) 1)
(+.f64 (-.f64 -1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)) (-.f64 1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))
(+.f64 (-.f64 -1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) 2)
(+.f64 (-.f64 -1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) (-.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)))
(*.f64 1 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(*.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(*.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)
(.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 1/2)
(.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))
(.f64 (.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 1/4)
(/.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))) 8)
(pow.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(+.f64 (pow.f64 (sin.f64 phi1) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))
(-.f64 (pow.f64 (sin.f64 phi1) 2) 0)
(-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2))
(*.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(*.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 (cos.f64 0) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2))) 1/4)
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (sin.f64 phi1) 2))
(.f64 (pow.f64 (.f64 (sin.f64 phi1) 2) 2) 1/4)
(/.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2))) (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2)))) 8)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(-.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)
(/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)
(pow.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 phi1 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 phi1 2)))
(+.f64 1 (neg.f64 (pow.f64 phi1 2)))
(-.f64 1 (pow.f64 phi1 2))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 1 (.f64 1/3 (pow.f64 phi1 4))))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 phi1 4)) (neg.f64 (pow.f64 phi1 2))))
(+.f64 (-.f64 1 (pow.f64 phi1 2)) (*.f64 1/3 (pow.f64 phi1 4)))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 (.f64 -2/45 (pow.f64 phi1 6)) (+.f64 1 (*.f64 1/3 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 (.f64 1/3 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -2/45 (pow.f64 phi1 6)))))
(+.f64 (neg.f64 (pow.f64 phi1 2)) (+.f64 (.f64 1/3 (pow.f64 phi1 4)) (+.f64 1 (.f64 -2/45 (pow.f64 phi1 6)))))
(+.f64 (-.f64 1 (pow.f64 phi1 2)) (+.f64 (.f64 1/3 (pow.f64 phi1 4)) (.f64 -2/45 (pow.f64 phi1 6))))
(+.f64 (.f64 1/3 (pow.f64 phi1 4)) (-.f64 (.f64 -2/45 (pow.f64 phi1 6)) (+.f64 -1 (pow.f64 phi1 2))))
(pow.f64 phi1 2)
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(+.f64 (pow.f64 phi1 2) (*.f64 (pow.f64 phi1 4) -1/3))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/3 (pow.f64 phi1 4)) (.f64 2/45 (pow.f64 phi1 6))))
(+.f64 (.f64 (pow.f64 phi1 6) 2/45) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 phi1 4) -1/3)))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 phi1 4) -1/3) (.f64 (pow.f64 phi1 6) 2/45)))
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(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)) (-.f64 1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2)) (-.f64 1 (+.f64 (+.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2) (-.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2))))
(+.f64 (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 2 (neg.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2))))
(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) -1/2) (neg.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) 3/2)))
(+.f64 (-.f64 -1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) 2)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (-.f64 -1 (+.f64 (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))) (-.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) 2)))
(+.f64 (-.f64 -1 (+.f64 (+.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (-.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))) (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) 3/2) (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2))))
(+.f64 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) -1/2)))
(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))
(*.f64 1 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 1/2)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 (.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 1/4)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1) -1)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 2)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 4)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))) 8)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(pow.f64 (-.f64 1 (pow.f64 (sin.f64 phi1) 2)) 1)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (pow.f64 (sin.f64 phi1) 2) 0)
(pow.f64 (sin.f64 phi1) 2)
(+.f64 0 (pow.f64 (sin.f64 phi1) 2))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))
(pow.f64 (sin.f64 phi1) 2)
(-.f64 (pow.f64 (sin.f64 phi1) 2) 0)
(pow.f64 (sin.f64 phi1) 2)
(-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 2))
(pow.f64 (sin.f64 phi1) 2)
(*.f64 1 (pow.f64 (sin.f64 phi1) 2))
(pow.f64 (sin.f64 phi1) 2)
(*.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(pow.f64 (sin.f64 phi1) 2)
(*.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 (cos.f64 0) 2))
(pow.f64 (*.f64 (cos.f64 0) (sin.f64 phi1)) 2)
(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 0)) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 phi1) 2)) 1/2)
(pow.f64 (sin.f64 phi1) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 phi1) 2)))
(pow.f64 (sin.f64 phi1) 2)
(.f64 (.f64 2 (*.f64 2 (pow.f64 (sin.f64 phi1) 2))) 1/4)
(pow.f64 (sin.f64 phi1) 2)
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (sin.f64 phi1) 2))
(pow.f64 (*.f64 (cos.f64 0) (sin.f64 phi1)) 2)
(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 0)) 2)
(.f64 (pow.f64 (.f64 (sin.f64 phi1) 2) 2) 1/4)
(pow.f64 (sin.f64 phi1) 2)
(/.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(pow.f64 (sin.f64 phi1) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 phi1) 2)) 2)
(pow.f64 (sin.f64 phi1) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2))) 4)
(pow.f64 (sin.f64 phi1) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2))) (.f64 2 (.f64 2 (pow.f64 (sin.f64 phi1) 2)))) 8)
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 0 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(pow.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 phi1 (cos.f64 theta))
✓	0.2b	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
✓	0.2b	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
	0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))

Compiler

Compiled 93 to 17 computations (81.7% saved)

series46.0ms (0%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	delta	@	inf	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
17.0ms	theta	@	-inf	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
1.0ms	phi1	@	0	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
1.0ms	theta	@	inf	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
1.0ms	delta	@	-inf	(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))

rewrite291.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational_best-simplify-56`
562×	`rational_best-4`
562×	`rational_best-2`
562×	`rational_best-3`
562×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	106	57
2	301	57
3	1179	57
4	6172	57

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(*.f64 phi1 (cos.f64 theta))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 2) (/.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 2) (/.f64 (neg.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)) (*.f64 (cos.f64 phi1) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)) (*.f64 (cos.f64 phi1) 2)) (*.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)) (*.f64 (cos.f64 phi1) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 phi1) 2)) (*.f64 2 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) 2) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 phi1 delta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 theta) 2)) (*.f64 (*.f64 (cos.f64 phi1) 2) (*.f64 (sin.f64 delta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 2) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 phi1 theta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) 2) (sin.f64 theta)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))) (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)))) (*.f64 (cos.f64 phi1) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 phi1) 2) (sin.f64 theta))) (*.f64 2 (*.f64 (sin.f64 delta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 phi1 theta)))) (*.f64 (sin.f64 delta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (cos.f64 phi1) 2) (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (sin.f64 theta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 phi1 delta)))) (*.f64 (sin.f64 theta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 2 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) 2) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (*.f64 2 (*.f64 (cos.f64 phi1) 2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (cos.f64 phi1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (*.f64 (cos.f64 phi1) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (/.f64 (cos.f64 phi1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 2) (/.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 2) (/.f64 (neg.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) (*.f64 2 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (+.f64 phi1 phi1)) (*.f64 2 (*.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 theta) 2)) (*.f64 2 (*.f64 (sin.f64 delta) (+.f64 phi1 phi1)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (*.f64 (sin.f64 delta) (+.f64 phi1 phi1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (*.f64 2 (*.f64 (sin.f64 delta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) (+.f64 phi1 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) (+.f64 phi1 phi1))) (*.f64 2 (*.f64 (cos.f64 theta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta))) (*.f64 2 (+.f64 phi1 phi1))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2)))) (+.f64 phi1 phi1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 theta) 2)) (*.f64 (sin.f64 delta) phi1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) phi1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 phi1 (cos.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 phi1 (cos.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 phi1 (cos.f64 theta)) 2) (/.f64 (*.f64 phi1 (cos.f64 theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 phi1 (cos.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 phi1 (cos.f64 theta)) 2) (/.f64 (neg.f64 (*.f64 phi1 (cos.f64 theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 phi1 (cos.f64 theta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (*.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (+.f64 phi1 phi1)) (*.f64 2 (*.f64 (cos.f64 theta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 theta) 2)) (*.f64 2 (+.f64 phi1 phi1))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 phi1 phi1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 phi1 (cos.f64 theta)) 1)))))

simplify609.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational_best-simplify-1`
1092×	`rational_best-simplify-64`
1036×	`rational_best-simplify-57`
838×	`rational_best-simplify-3`
796×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	4103
1	777	4103
2	2006	4035
3	5207	4005

Stop Event

1×	node limit

Counts

117 → 175

Calls

Call 1

Inputs
(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 3)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (*.f64 (sin.f64 delta) (sin.f64 theta))))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) (sin.f64 theta)))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 phi1 (.f64 delta (cos.f64 theta)))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (.f64 -1/6 (.f64 phi1 (*.f64 (pow.f64 delta 3) (cos.f64 theta)))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 1/120 (.f64 phi1 (.f64 (pow.f64 delta 5) (cos.f64 theta)))) (.f64 -1/6 (.f64 phi1 (.f64 (pow.f64 delta 3) (cos.f64 theta))))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 1/120 (.f64 phi1 (.f64 (pow.f64 delta 5) (cos.f64 theta)))) (+.f64 (.f64 -1/5040 (.f64 phi1 (.f64 (pow.f64 delta 7) (cos.f64 theta)))) (.f64 -1/6 (.f64 phi1 (*.f64 (pow.f64 delta 3) (cos.f64 theta)))))))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(*.f64 (sin.f64 delta) phi1)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2)))) (.f64 (sin.f64 delta) phi1))
(+.f64 (.f64 1/24 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 4)))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2)))) (*.f64 (sin.f64 delta) phi1)))
(+.f64 (.f64 1/24 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 4)))) (+.f64 (.f64 -1/720 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 6)))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2)))) (.f64 (sin.f64 delta) phi1))))
phi1
(+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) phi1)
(+.f64 (.f64 1/24 (.f64 phi1 (pow.f64 theta 4))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) phi1))
(+.f64 (.f64 1/24 (.f64 phi1 (pow.f64 theta 4))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) (+.f64 (.f64 -1/720 (.f64 phi1 (pow.f64 theta 6))) phi1)))
(+.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 0)
(+.f64 0 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))
(+.f64 (/.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 2) (/.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 2))
(-.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 0)
(-.f64 (/.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))) 2))
(/.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))) 2)
(/.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)) (.f64 (cos.f64 phi1) 2)) 4)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)) (.f64 (cos.f64 phi1) 2)) (.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)) (.f64 (cos.f64 phi1) 2))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2))) (.f64 2 (.f64 (cos.f64 phi1) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 phi1) 2)) (.f64 2 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)))) 16)
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 delta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (sin.f64 delta) 2))) 16)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 theta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (.f64 (cos.f64 phi1) 2) (sin.f64 theta)))) 16)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))) (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) 2))) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)))) (.f64 (cos.f64 phi1) 2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (cos.f64 phi1) 2) (sin.f64 theta))) (.f64 2 (.f64 (sin.f64 delta) 2))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 theta)))) (.f64 (sin.f64 delta) 2)) 4)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (sin.f64 theta) 2))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 delta)))) (.f64 (sin.f64 theta) 2)) 4)
(/.f64 (.f64 (cos.f64 phi1) (.f64 2 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2)))) 4)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 2) (.f64 2 (.f64 2 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) 2))))) 16)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (.f64 2 (.f64 (cos.f64 phi1) 2))) -8)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (cos.f64 phi1)) -2)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (*.f64 (cos.f64 phi1) 2)) -4)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) -4)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -1/2) (/.f64 (cos.f64 phi1) 2)) -1)
(pow.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1)
(+.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 0)
(+.f64 0 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)))
(+.f64 (/.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 2) (/.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 2))
(-.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 0)
(-.f64 (/.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 2) (/.f64 (neg.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1))) 2))
(/.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 1)
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1))))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 16)
(/.f64 (.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 2 (+.f64 phi1 phi1)) (.f64 2 (.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (*.f64 (sin.f64 delta) (+.f64 phi1 phi1)))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 (sin.f64 delta) (+.f64 phi1 phi1))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (.f64 2 (*.f64 (sin.f64 delta) 2))) 16)
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 phi1 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (+.f64 phi1 phi1))) (.f64 2 (*.f64 (cos.f64 theta) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (sin.f64 delta) 2) (cos.f64 theta))) (*.f64 2 (+.f64 phi1 phi1))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2)))) (+.f64 phi1 phi1)) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 (sin.f64 delta) phi1)) 4)
(pow.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 1)
(+.f64 (*.f64 phi1 (cos.f64 theta)) 0)
(+.f64 0 (*.f64 phi1 (cos.f64 theta)))
(+.f64 (/.f64 (.f64 phi1 (cos.f64 theta)) 2) (/.f64 (.f64 phi1 (cos.f64 theta)) 2))
(-.f64 (*.f64 phi1 (cos.f64 theta)) 0)
(-.f64 (/.f64 (.f64 phi1 (cos.f64 theta)) 2) (/.f64 (neg.f64 (.f64 phi1 (cos.f64 theta))) 2))
(/.f64 (*.f64 phi1 (cos.f64 theta)) 1)
(/.f64 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 8)
(/.f64 (.f64 (.f64 2 (+.f64 phi1 phi1)) (.f64 2 (.f64 (cos.f64 theta) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (+.f64 phi1 phi1))) 16)
(/.f64 (*.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 phi1 phi1)) 4)
(pow.f64 (*.f64 phi1 (cos.f64 theta)) 1)

Outputs
(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
(.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (pow.f64 theta 3)))))
(+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 -1/6 (pow.f64 theta 3))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))))
(+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3))))) (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))))
(+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (sin.f64 delta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 5)) 1/120))))
(+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) (cos.f64 phi1))))) (.f64 (sin.f64 delta) (.f64 1/120 (.f64 (cos.f64 phi1) (pow.f64 theta 5)))))
(+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 -1/6 (pow.f64 theta 3))) (.f64 (sin.f64 delta) (.f64 1/120 (.f64 (cos.f64 phi1) (pow.f64 theta 5))))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))))
(+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3))))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7)))) (.f64 1/120 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (pow.f64 theta 5))))))
(+.f64 (+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) (cos.f64 phi1))))) (+.f64 (.f64 (sin.f64 delta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 5)) 1/120)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (pow.f64 theta 7) -1/5040))))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (+.f64 (.f64 (sin.f64 delta) (.f64 1/120 (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (.f64 (sin.f64 delta) (.f64 -1/5040 (*.f64 (cos.f64 phi1) (pow.f64 theta 7)))))))
(+.f64 (.f64 theta (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (.f64 (sin.f64 delta) (.f64 1/120 (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 -1/6 (pow.f64 theta 3))) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 -1/5040 (pow.f64 theta 7))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
(.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 3)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 theta) (*.f64 (pow.f64 delta 3) (cos.f64 phi1)))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 3)))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (*.f64 -1/6 (pow.f64 delta 3))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5))))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 3) (cos.f64 phi1)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 theta) (pow.f64 delta 5)) 1/120))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 (cos.f64 phi1) (.f64 1/120 (.f64 (sin.f64 theta) (pow.f64 delta 5))))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (.f64 -1/6 (pow.f64 delta 3))) (.f64 (cos.f64 phi1) (.f64 1/120 (.f64 (sin.f64 theta) (pow.f64 delta 5))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 3) (cos.f64 phi1)))) (+.f64 (.f64 (.f64 (sin.f64 theta) (pow.f64 delta 7)) (.f64 (cos.f64 phi1) -1/5040)) (.f64 (cos.f64 phi1) (.f64 (*.f64 (sin.f64 theta) (pow.f64 delta 5)) 1/120)))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 1/120 (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(+.f64 (.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (.f64 -1/6 (pow.f64 delta 3))) (+.f64 (.f64 (cos.f64 phi1) (.f64 1/120 (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/5040 (.f64 (sin.f64 theta) (*.f64 (cos.f64 phi1) (pow.f64 delta 7)))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 2) -1/2)))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (pow.f64 phi1 2))))
(.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) -1))
(.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (*.f64 (sin.f64 delta) (sin.f64 theta))))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 2) -1/2)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (*.f64 (pow.f64 phi1 4) 1/24))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (pow.f64 phi1 2))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) (sin.f64 theta)))))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 2) -1/2)) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 4) 1/24)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 6) -1/720)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/720 (pow.f64 phi1 6))) (+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (pow.f64 phi1 2))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 1/24 (pow.f64 phi1 4))))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (.f64 -1/2 (pow.f64 phi1 2)))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (*.f64 1/24 (pow.f64 phi1 4)) -1)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(.f64 phi1 (.f64 delta (cos.f64 theta)))
(.f64 delta (.f64 phi1 (cos.f64 theta)))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (.f64 -1/6 (.f64 phi1 (*.f64 (pow.f64 delta 3) (cos.f64 theta)))))
(+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (.f64 phi1 (.f64 (*.f64 (pow.f64 delta 3) (cos.f64 theta)) -1/6)))
(+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (.f64 -1/6 (.f64 (pow.f64 delta 3) (*.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 1/120 (.f64 phi1 (.f64 (pow.f64 delta 5) (cos.f64 theta)))) (.f64 -1/6 (.f64 phi1 (.f64 (pow.f64 delta 3) (cos.f64 theta))))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 -1/6 (.f64 phi1 (.f64 (pow.f64 delta 3) (cos.f64 theta)))) (.f64 1/120 (.f64 phi1 (.f64 (pow.f64 delta 5) (cos.f64 theta))))))
(+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (+.f64 (.f64 phi1 (.f64 (.f64 (pow.f64 delta 3) (cos.f64 theta)) -1/6)) (.f64 phi1 (.f64 (.f64 (pow.f64 delta 5) (cos.f64 theta)) 1/120))))
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(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (.f64 phi1 (cos.f64 theta)))) (+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (.f64 phi1 (.f64 1/120 (.f64 (pow.f64 delta 5) (cos.f64 theta))))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 1/120 (.f64 phi1 (.f64 (pow.f64 delta 5) (cos.f64 theta)))) (+.f64 (.f64 -1/5040 (.f64 phi1 (.f64 (pow.f64 delta 7) (cos.f64 theta)))) (.f64 -1/6 (.f64 phi1 (*.f64 (pow.f64 delta 3) (cos.f64 theta)))))))
(+.f64 (.f64 phi1 (.f64 delta (cos.f64 theta))) (+.f64 (.f64 -1/6 (.f64 phi1 (.f64 (pow.f64 delta 3) (cos.f64 theta)))) (+.f64 (.f64 -1/5040 (.f64 phi1 (.f64 (pow.f64 delta 7) (cos.f64 theta)))) (.f64 1/120 (.f64 phi1 (*.f64 (pow.f64 delta 5) (cos.f64 theta)))))))
(+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (+.f64 (.f64 phi1 (.f64 (.f64 (pow.f64 delta 3) (cos.f64 theta)) -1/6)) (+.f64 (.f64 phi1 (.f64 (.f64 (pow.f64 delta 5) (cos.f64 theta)) 1/120)) (.f64 phi1 (.f64 (*.f64 (pow.f64 delta 7) (cos.f64 theta)) -1/5040)))))
(+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (.f64 phi1 (cos.f64 theta)))) (+.f64 (.f64 phi1 (.f64 1/120 (.f64 (pow.f64 delta 5) (cos.f64 theta)))) (.f64 phi1 (.f64 -1/5040 (*.f64 (pow.f64 delta 7) (cos.f64 theta)))))))
(+.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (.f64 phi1 (cos.f64 theta)))) (.f64 (.f64 (pow.f64 delta 7) (cos.f64 theta)) (.f64 phi1 -1/5040))) (+.f64 (.f64 delta (.f64 phi1 (cos.f64 theta))) (.f64 phi1 (.f64 1/120 (*.f64 (pow.f64 delta 5) (cos.f64 theta))))))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(*.f64 (sin.f64 delta) phi1)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2)))) (.f64 (sin.f64 delta) phi1))
(+.f64 (.f64 (sin.f64 delta) phi1) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2)))))
(+.f64 (.f64 (sin.f64 delta) phi1) (.f64 (.f64 (sin.f64 delta) phi1) (.f64 (pow.f64 theta 2) -1/2)))
(+.f64 (.f64 (sin.f64 delta) phi1) (.f64 (.f64 (sin.f64 delta) phi1) (.f64 -1/2 (pow.f64 theta 2))))
(.f64 (.f64 (sin.f64 delta) phi1) (-.f64 (*.f64 -1/2 (pow.f64 theta 2)) -1))
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(+.f64 (+.f64 (.f64 (sin.f64 delta) phi1) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 delta) (pow.f64 theta 2))))) (.f64 1/24 (.f64 phi1 (*.f64 (sin.f64 delta) (pow.f64 theta 4)))))
(+.f64 (+.f64 (.f64 (sin.f64 delta) phi1) (.f64 (.f64 (sin.f64 delta) phi1) (.f64 (pow.f64 theta 2) -1/2))) (.f64 phi1 (.f64 (*.f64 (sin.f64 delta) (pow.f64 theta 4)) 1/24)))
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phi1
(+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) phi1)
(+.f64 phi1 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))))
(+.f64 phi1 (.f64 phi1 (.f64 (pow.f64 theta 2) -1/2)))
(+.f64 phi1 (.f64 phi1 (.f64 -1/2 (pow.f64 theta 2))))
(+.f64 (.f64 1/24 (.f64 phi1 (pow.f64 theta 4))) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) phi1))
(+.f64 phi1 (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 theta 2))) (.f64 1/24 (.f64 phi1 (pow.f64 theta 4)))))
(+.f64 (.f64 phi1 (.f64 (pow.f64 theta 2) -1/2)) (+.f64 phi1 (.f64 phi1 (.f64 (pow.f64 theta 4) 1/24))))
(+.f64 (.f64 phi1 (.f64 -1/2 (pow.f64 theta 2))) (+.f64 phi1 (.f64 phi1 (.f64 1/24 (pow.f64 theta 4)))))
(+.f64 phi1 (+.f64 (.f64 phi1 (.f64 -1/2 (pow.f64 theta 2))) (.f64 phi1 (.f64 1/24 (pow.f64 theta 4)))))
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(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
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(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 1)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 2)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 2 (.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 4)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) (.f64 2 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (+.f64 phi1 phi1))))) 8)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 delta theta) (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 2 (+.f64 phi1 phi1)) (.f64 2 (.f64 (*.f64 (sin.f64 delta) 2) (cos.f64 theta)))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (*.f64 (sin.f64 delta) (+.f64 phi1 phi1)))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (.f64 (sin.f64 delta) (+.f64 phi1 phi1))) 4)
(/.f64 (.f64 (+.f64 phi1 phi1) (.f64 (sin.f64 delta) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 phi1 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (.f64 2 (*.f64 (sin.f64 delta) 2))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 phi1 phi1)) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (.f64 (+.f64 phi1 phi1) (.f64 (sin.f64 delta) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) (+.f64 phi1 phi1))) (.f64 2 (*.f64 (cos.f64 theta) 2))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (sin.f64 delta) 2) (cos.f64 theta))) (*.f64 2 (+.f64 phi1 phi1))) 16)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 theta delta) (*.f64 (PI.f64) 1/2)))) (+.f64 phi1 phi1)) 4)
(/.f64 (.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 theta delta))) (cos.f64 (-.f64 (+.f64 delta theta) (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 (sin.f64 delta) phi1)) 4)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(pow.f64 (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) phi1)) 1)
(.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(+.f64 (*.f64 phi1 (cos.f64 theta)) 0)
(*.f64 phi1 (cos.f64 theta))
(+.f64 0 (*.f64 phi1 (cos.f64 theta)))
(*.f64 phi1 (cos.f64 theta))
(+.f64 (/.f64 (.f64 phi1 (cos.f64 theta)) 2) (/.f64 (.f64 phi1 (cos.f64 theta)) 2))
(*.f64 phi1 (cos.f64 theta))
(-.f64 (*.f64 phi1 (cos.f64 theta)) 0)
(*.f64 phi1 (cos.f64 theta))
(-.f64 (/.f64 (.f64 phi1 (cos.f64 theta)) 2) (/.f64 (neg.f64 (.f64 phi1 (cos.f64 theta))) 2))
(*.f64 phi1 (cos.f64 theta))
(/.f64 (*.f64 phi1 (cos.f64 theta)) 1)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (*.f64 (cos.f64 theta) (+.f64 phi1 phi1)) 2)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) 4)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1))) (.f64 2 (.f64 (cos.f64 theta) (+.f64 phi1 phi1)))) 8)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (.f64 (.f64 2 (+.f64 phi1 phi1)) (.f64 2 (.f64 (cos.f64 theta) 2))) 16)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 theta) 2)) (.f64 2 (+.f64 phi1 phi1))) 16)
(*.f64 phi1 (cos.f64 theta))
(/.f64 (*.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta))) (+.f64 phi1 phi1)) 4)
(/.f64 (*.f64 (+.f64 phi1 phi1) (+.f64 (cos.f64 theta) (cos.f64 (neg.f64 theta)))) 4)
(pow.f64 (*.f64 phi1 (cos.f64 theta)) 1)
(*.f64 phi1 (cos.f64 theta))

localize96.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 phi1) (cos.f64 delta))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
✓	0.3b	(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))
✓	0.4b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))

Compiler

Compiled 138 to 19 computations (86.2% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	delta	@	0	(*.f64 (sin.f64 phi1) (cos.f64 delta))
1.0ms	phi1	@	inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
1.0ms	delta	@	-inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
1.0ms	delta	@	inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
1.0ms	phi1	@	-inf	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))

rewrite556.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`rational_best-1`
1956×	`rational_best-4`
1956×	`rational_best-2`
1956×	`rational_best-3`
1956×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	115
1	100	115
2	265	115
3	1064	115
4	4724	115

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs

(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))

(*.f64 (sin.f64 phi1) (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))

(*.f64 (sin.f64 phi1) (cos.f64 delta))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (-.f64 (cos.f64 delta) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (neg.f64 (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (-.f64 (/.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (+.f64 (cos.f64 delta) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (*.f64 (sin.f64 phi1) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (-.f64 0 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (neg.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 phi1) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) (*.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (*.f64 (cos.f64 delta) (neg.f64 (sin.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (*.f64 (sin.f64 phi1) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 phi1) 2) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (*.f64 2 (*.f64 (cos.f64 delta) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) (*.f64 (*.f64 2 (*.f64 (sin.f64 phi1) 2)) (cos.f64 delta))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)))))

simplify889.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-1`
826×	`rational_best-simplify-85`
732×	`rational_best-simplify-47`
438×	`rational_best-simplify-3`
420×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	4245
1	617	4121
2	1469	4105
3	5530	4041

Stop Event

1×	node limit

Counts

137 → 170

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) delta))) 1) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (sin.f64 delta))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (sin.f64 delta)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 delta))) (.f64 -1 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/6 (sin.f64 delta)) (.f64 -1/2 (sin.f64 delta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(*.f64 (sin.f64 delta) phi1)
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) phi1))
(+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/6 (sin.f64 delta)) (.f64 -1/2 (sin.f64 delta)))) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (*.f64 (sin.f64 delta) phi1)))
(+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/6 (sin.f64 delta)) (.f64 -1/2 (sin.f64 delta)))) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (*.f64 (sin.f64 delta) phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta)) (pow.f64 (sin.f64 phi1) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta)) (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) (pow.f64 delta 2))) (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta)) (+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (pow.f64 (sin.f64 phi1) 2))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))
(*.f64 (cos.f64 delta) phi1)
(+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 delta) (pow.f64 phi1 7))) (+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(sin.f64 phi1)
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (sin.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 phi1) (pow.f64 delta 6))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4))))))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(*.f64 (cos.f64 delta) (sin.f64 phi1))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(+.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 0)
(+.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (-.f64 (cos.f64 delta) (cos.f64 delta)))
(+.f64 0 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(+.f64 -1 (-.f64 1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta))))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (cos.f64 delta))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (neg.f64 (cos.f64 delta))))
(+.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 (/.f64 (cos.f64 delta) 2) (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(+.f64 (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(+.f64 (-.f64 (cos.f64 delta) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))
(+.f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (cos.f64 delta)))
(+.f64 (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (+.f64 (cos.f64 delta) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))) 2))
(+.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (/.f64 (cos.f64 delta) 2))
(+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta))) 1)
(.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(.f64 1 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)
(.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 1/2)
(.f64 1/2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 1/4)
(/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)
(/.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 2)
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 4)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 4)
(/.f64 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 phi1) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 2)
(/.f64 (-.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))) 8)
(pow.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(neg.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)
(+.f64 0 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(+.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)
(-.f64 0 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (-.f64 0 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)
(/.f64 (.f64 (sin.f64 phi1) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) 2)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) (.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 8)
(pow.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)
(+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)
(+.f64 0 (*.f64 (cos.f64 delta) (sin.f64 phi1)))
(+.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) 0))
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) 0))
(+.f64 (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))
(-.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)
(-.f64 (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (.f64 (cos.f64 delta) (neg.f64 (sin.f64 phi1))) 2))
(/.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)
(/.f64 (.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) 2)) 2)
(/.f64 (.f64 (.f64 2 (*.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 phi1) 2)) 4)
(/.f64 (.f64 (.f64 (sin.f64 phi1) 2) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (*.f64 (cos.f64 delta) 2))) 16)
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (cos.f64 delta))) 8)
(pow.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)

Outputs
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) delta))) 1) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 (.f64 (cos.f64 phi1) delta) (neg.f64 (sin.f64 phi1)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi1)) (neg.f64 delta)) (+.f64 (pow.f64 (sin.f64 phi1) 2) -1))
(+.f64 (-.f64 (.f64 (sin.f64 phi1) (neg.f64 (.f64 (cos.f64 phi1) delta))) (pow.f64 (sin.f64 phi1) 2)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) delta) (neg.f64 (sin.f64 phi1))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (+.f64 1 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi1)) (neg.f64 delta))) (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (sin.f64 phi1) (neg.f64 (.f64 (cos.f64 phi1) delta))) (+.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta)))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) delta))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) delta) (neg.f64 (sin.f64 phi1))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) 1))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi1)) (neg.f64 delta)) (+.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (.f64 1/6 (.f64 (cos.f64 phi1) (*.f64 (pow.f64 delta 3) (sin.f64 phi1))))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (.f64 (cos.f64 phi1) delta))) (-.f64 (.f64 (sin.f64 phi1) (.f64 1/6 (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (+.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 3)) (.f64 (sin.f64 phi1) 1/6)) (-.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (pow.f64 delta 2))) (+.f64 -1 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) delta))))) (pow.f64 (sin.f64 phi1) 2))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (sin.f64 delta))))
(+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 -1)))
(+.f64 (cos.f64 delta) (*.f64 (sin.f64 delta) (neg.f64 phi1)))
(-.f64 (cos.f64 delta) (*.f64 phi1 (sin.f64 delta)))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (sin.f64 delta)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 -1)) (*.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta)))))
(+.f64 (cos.f64 delta) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (*.f64 phi1 (sin.f64 delta)))))
(+.f64 (.f64 (sin.f64 delta) (neg.f64 phi1)) (.f64 (neg.f64 (cos.f64 delta)) (+.f64 -1 (pow.f64 phi1 2))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 (sin.f64 delta) (neg.f64 phi1)) (.f64 (cos.f64 delta) (pow.f64 phi1 2))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 delta))) (.f64 -1 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 -1/6 (sin.f64 delta)) (.f64 -1/2 (sin.f64 delta))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 -1)) (.f64 -1 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 delta) -2/3))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 phi1 (sin.f64 delta)))) (+.f64 (.f64 (*.f64 (sin.f64 delta) -2/3) (neg.f64 (pow.f64 phi1 3))) (cos.f64 delta)))
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(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (neg.f64 (cos.f64 delta))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (/.f64 (cos.f64 delta) 2) (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (-.f64 (cos.f64 delta) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) (neg.f64 (cos.f64 delta)))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (/.f64 (+.f64 (cos.f64 delta) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))) 2))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) (/.f64 (cos.f64 delta) 2))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta))) 1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 1 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 1/2)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 1/2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 1/4)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)) -1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) 2)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) 4)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 4)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 phi1) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 phi1) (.f64 2 (sin.f64 (+.f64 phi1 delta))))) 2)
(-.f64 (/.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) 2) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(/.f64 (-.f64 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(/.f64 (-.f64 (cos.f64 delta) (-.f64 (cos.f64 (neg.f64 delta)) (.f64 2 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))) 2)
(-.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))) (/.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) 2))
(-.f64 (cos.f64 delta) (+.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) 2) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2)) (.f64 2 (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))) 8)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(pow.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))) 1)
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(neg.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(+.f64 0 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(+.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2))
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 0)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(-.f64 0 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))))))
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (-.f64 0 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2)))
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 2))
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (.f64 (sin.f64 phi1) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) 2)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 4)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta))) 2))) 16)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))) 2)) (.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta)))) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (sin.f64 delta))))) 8)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(pow.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))) 1)
(*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta)))
(+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(+.f64 0 (*.f64 (cos.f64 delta) (sin.f64 phi1)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(+.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64)))))) 2)
(.f64 (cos.f64 delta) (cos.f64 (-.f64 phi1 (.f64 1/2 (PI.f64)))))
(+.f64 (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) 0))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64)))))) 2)
(.f64 (cos.f64 delta) (cos.f64 (-.f64 phi1 (.f64 1/2 (PI.f64)))))
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 phi1 delta))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 phi1 delta)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64)))))) 2)
(+.f64 (/.f64 (sin.f64 (+.f64 delta phi1)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) 0))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 phi1 delta))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 phi1 delta)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64)))))) 2)
(+.f64 (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 (PI.f64) 1/2)))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 delta (-.f64 phi1 (.f64 1/2 (PI.f64)))))) 2)
(.f64 (cos.f64 delta) (cos.f64 (-.f64 phi1 (.f64 1/2 (PI.f64)))))
(+.f64 (/.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (sin.f64 (+.f64 delta phi1)) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 phi1 delta))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 phi1 delta)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 delta (-.f64 phi1 (*.f64 1/2 (PI.f64)))))) 2)
(-.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 0)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(-.f64 (/.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2) (/.f64 (.f64 (cos.f64 delta) (neg.f64 (sin.f64 phi1))) 2))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) 2)) 2)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (.f64 (.f64 2 (*.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) 4)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (*.f64 (sin.f64 phi1) 2))) 16)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) (.f64 (sin.f64 phi1) 2)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 4)
(/.f64 (.f64 (sin.f64 phi1) (.f64 2 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 4)
(/.f64 (.f64 8 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 16)
(/.f64 (.f64 (.f64 (sin.f64 phi1) 2) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta)))) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 4)
(/.f64 (.f64 (sin.f64 phi1) (.f64 2 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 4)
(/.f64 (.f64 8 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (*.f64 (cos.f64 delta) 2))) 16)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (cos.f64 delta)) (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (cos.f64 delta))) 8)
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(pow.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) 1)
(*.f64 (sin.f64 phi1) (cos.f64 delta))

eval2.1s (2.3%)

Compiler: Compiled 38394 to 13345 computations (65.2% saved)

prune1.5s (1.6%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1085	17	1102
Fresh	2	2	4
Picked	0	1	1
Done	1	3	4
Total	1088	23	1111

Error

0.0b

Counts

1111 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	21.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	4.3b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
✓	2.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	3.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	3.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
✓	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	17.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
▶	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
▶	10.0b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
✓	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
	12.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
▶	6.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	12.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
	6.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
▶	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))

Compiler

Compiled 1077 to 736 computations (31.7% saved)

localize124.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))
✓	0.5b	(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))
✓	0.6b	(+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)
✓	1.0b	(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))

Compiler

Compiled 219 to 38 computations (82.6% saved)

series25.0ms (0%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	theta	@	0	(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))
0.0ms	theta	@	0	(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))
0.0ms	phi1	@	-inf	(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))
0.0ms	phi1	@	inf	(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))
0.0ms	delta	@	0	(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))

rewrite459.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`rational_best-4`
656×	`rational_best-2`
656×	`rational_best-3`
656×	`rational_best-1`
656×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	268
1	154	262
2	409	256
3	1551	256
4	7865	256

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta)))
(+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (+.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (cos.f64 delta)) (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (+.f64 (+.f64 (cos.f64 delta) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (+.f64 -1 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2) -1/2) (+.f64 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2) (+.f64 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2) (/.f64 (+.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (-.f64 1 (cos.f64 delta)) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2)) (/.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)) (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 delta) 2) 1) (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) (-.f64 (/.f64 (cos.f64 delta) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 1 (cos.f64 delta)) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 (cos.f64 delta)) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 delta) (-.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 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(.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2))) 8)))) (#(struct:change #<rule 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(cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2))) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2)) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) 2)) (.f64 2 (.f64 (sin.f64 phi1) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))))))

simplify768.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational_best-simplify-65`
986×	`rational_best-simplify-3`
972×	`rational_best-simplify-67`
726×	`rational_best-simplify-83`
700×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	19476
1	995	19356
2	2716	19334

Stop Event

1×	node limit

Counts

282 → 323

Calls

Call 1

Inputs
(-.f64 (cos.f64 delta) 1)
(-.f64 (+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))) 1)
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(*.f64 -1 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
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(cos.f64 delta)
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(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))) (pow.f64 (sin.f64 phi1) 2))
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(*.f64 -1 (cos.f64 delta))
(+.f64 (.f64 -1 (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1 (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
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(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
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(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
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(-.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))) 1)
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(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
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(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
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(pow.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(neg.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))

Outputs
(-.f64 (cos.f64 delta) 1)
(+.f64 (cos.f64 delta) -1)
(-.f64 (+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(+.f64 (+.f64 (cos.f64 delta) (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (*.f64 phi1 -1))) -1)
(+.f64 -1 (+.f64 (cos.f64 delta) (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (neg.f64 phi1))))
(-.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (neg.f64 phi1))) (-.f64 1 (cos.f64 delta)))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))) 1)
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (.f64 phi1 -1)) (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (cos.f64 delta))) -1)
(+.f64 -1 (+.f64 (cos.f64 delta) (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))))
(+.f64 -1 (+.f64 (cos.f64 delta) (-.f64 0 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))) 1)
(+.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (.f64 phi1 -1)) (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (cos.f64 delta))) (.f64 (pow.f64 phi1 3) (.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) -2/3) -1))))) -1)
(+.f64 -1 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))) (.f64 (pow.f64 phi1 3) (neg.f64 (.f64 (*.f64 (sin.f64 delta) (cos.f64 theta)) -2/3))))))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 delta) (-.f64 0 (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))) (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) 2/3))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(*.f64 -1 (pow.f64 (sin.f64 phi1) 2))
(neg.f64 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))
(+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 (.f64 (cos.f64 theta) (.f64 delta (cos.f64 phi1))) (*.f64 (sin.f64 phi1) -1)))
(.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 delta (.f64 (cos.f64 theta) (*.f64 (sin.f64 phi1) (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))))
(+.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 (.f64 (cos.f64 theta) (.f64 delta (cos.f64 phi1))) (.f64 (sin.f64 phi1) -1))) (.f64 (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 delta 2) -1)))
(+.f64 (.f64 (.f64 delta (.f64 (cos.f64 theta) (cos.f64 phi1))) (neg.f64 (sin.f64 phi1))) (.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 delta (.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (cos.f64 phi1)))))) (.f64 (pow.f64 delta 2) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))))))
(+.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 (.f64 (cos.f64 theta) (.f64 delta (cos.f64 phi1))) (.f64 (sin.f64 phi1) -1))) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 delta 2) -1)) (.f64 1/6 (.f64 (.f64 (cos.f64 theta) (pow.f64 delta 3)) (.f64 (cos.f64 phi1) (sin.f64 phi1))))))
(+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (neg.f64 (pow.f64 delta 2))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 theta) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3))) 1/6))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 delta (.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (cos.f64 phi1)))))) (+.f64 (.f64 (pow.f64 delta 2) (neg.f64 (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (.f64 (cos.f64 theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 3)) (*.f64 (sin.f64 phi1) 1/6)))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(-.f64 (cos.f64 delta) (+.f64 1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(-.f64 (+.f64 (cos.f64 delta) -1) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta)))
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(cos.f64 delta)
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(-.f64 (+.f64 (.f64 (cos.f64 theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 3)) (.f64 (sin.f64 phi1) 1/6))) (-.f64 (.f64 (pow.f64 delta 2) (neg.f64 (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))) (+.f64 -1 (.f64 delta (.f64 (cos.f64 theta) (*.f64 (sin.f64 phi1) (cos.f64 phi1))))))) (pow.f64 (sin.f64 phi1) 2))
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(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 phi1))) (.f64 (sin.f64 delta) 1/2))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) 1/2))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1/24 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 phi1))) (.f64 (sin.f64 delta) 1/2)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) 1/2)) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) -1/24)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))))) (+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (.f64 (sin.f64 delta) (sin.f64 phi1)) -1/24)))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 -1/24 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 phi1))) (.f64 (sin.f64 delta) 1/2)) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6))) (.f64 (sin.f64 delta) 1/720))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (cos.f64 delta) (+.f64 (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) 1/2)) (+.f64 (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) -1/24)) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6))) 1/720))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))))) (+.f64 (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (.f64 (sin.f64 delta) (sin.f64 phi1)) -1/24)))) (.f64 (sin.f64 delta) (.f64 1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 6)))))) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))))
(*.f64 -1 (cos.f64 delta))
(neg.f64 (cos.f64 delta))
(+.f64 (.f64 -1 (cos.f64 delta)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (neg.f64 (cos.f64 delta)))
(-.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (cos.f64 delta))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1 (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))) (neg.f64 (cos.f64 delta))))
(+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (*.f64 (cos.f64 delta) (+.f64 -1 (pow.f64 phi1 2))))
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(+.f64 (.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) -2/3) (pow.f64 phi1 3)) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (.f64 (cos.f64 delta) (+.f64 -1 (pow.f64 phi1 2)))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (.f64 -2/3 (pow.f64 phi1 3))) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (.f64 (cos.f64 delta) (+.f64 -1 (pow.f64 phi1 2)))))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (pow.f64 (sin.f64 phi1) 2) 1)
(+.f64 (pow.f64 (sin.f64 phi1) 2) -1)
(+.f64 -1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))) 1)
(+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 delta (cos.f64 phi1))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 theta) (cos.f64 phi1))))))
(+.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 delta (.f64 (cos.f64 theta) (*.f64 (sin.f64 phi1) (cos.f64 phi1))))))
(-.f64 (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 delta (cos.f64 phi1)))))) -1)
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(+.f64 -1 (+.f64 (.f64 delta (.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (cos.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 delta 2) (+.f64 1/2 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))))))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta))))))) 1)
(+.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 theta) (.f64 delta (cos.f64 phi1))))) (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (.f64 -1/6 (.f64 (.f64 (cos.f64 theta) (pow.f64 delta 3)) (*.f64 (cos.f64 phi1) (sin.f64 phi1)))))) -1)
(+.f64 -1 (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 theta) (cos.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 -1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (pow.f64 delta 3)))))))))
(+.f64 -1 (+.f64 (.f64 (pow.f64 delta 2) (+.f64 1/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (pow.f64 (sin.f64 phi1) 2) (+.f64 (.f64 delta (.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (cos.f64 phi1)))) (.f64 (cos.f64 theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 3)) (*.f64 -1/6 (sin.f64 phi1))))))))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 phi1)))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 theta 2) (cos.f64 phi1)))))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (pow.f64 theta 2) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) (*.f64 (sin.f64 delta) -1/2))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (*.f64 (sin.f64 delta) (sin.f64 phi1)) -1/2))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 theta 2) (cos.f64 phi1))))))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 phi1))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (*.f64 (sin.f64 phi1) (sin.f64 delta))) 1/24))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (+.f64 (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) (.f64 (sin.f64 delta) -1/2)) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) (*.f64 (sin.f64 delta) 1/24)))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (.f64 (sin.f64 delta) (sin.f64 phi1)) -1/2)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (*.f64 (sin.f64 phi1) (pow.f64 theta 4)) 1/24)))) (cos.f64 delta))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 theta 2) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 2) (sin.f64 phi1)))))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) (.f64 (sin.f64 phi1) (sin.f64 delta))) 1/24) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6))) (*.f64 (sin.f64 delta) -1/720)))) (cos.f64 delta))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 2))) (.f64 (sin.f64 delta) -1/2))) (+.f64 (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 4))) (.f64 (sin.f64 delta) 1/24)) (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (pow.f64 theta 6))) -1/720)))) (cos.f64 delta))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (cos.f64 phi1)))) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 2)) (.f64 (.f64 (sin.f64 delta) (sin.f64 phi1)) -1/2))) (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 phi1) (pow.f64 theta 4)) 1/24)) (.f64 (sin.f64 delta) (.f64 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (pow.f64 theta 6))) -1/720)))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)) (cos.f64 delta))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) -2/3) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (.f64 -2/3 (pow.f64 phi1 3))) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 -1/3 (.f64 (cos.f64 delta) (pow.f64 phi1 4))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 -1/6 (.f64 (sin.f64 delta) (cos.f64 theta)))) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 (+.f64 (.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) -2/3) (pow.f64 phi1 3)) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta)))) (+.f64 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 delta) -1/3)) (.f64 (cos.f64 delta) (pow.f64 phi1 2))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) -2/3) (pow.f64 phi1 3)) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (.f64 (cos.f64 delta) (.f64 (pow.f64 phi1 4) -1/3)))))
(+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (.f64 -2/3 (pow.f64 phi1 3))) (+.f64 (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))) (.f64 (cos.f64 delta) (.f64 -1/3 (pow.f64 phi1 4))))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(pow.f64 (sin.f64 phi1) 2)
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 delta (cos.f64 phi1)))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 delta (.f64 (cos.f64 theta) (*.f64 (sin.f64 phi1) (cos.f64 phi1)))))
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(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 2))) 8)
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2))) (.f64 2 (.f64 (cos.f64 delta) 2))) 4)
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta)))) 2)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))) (*.f64 2 (sin.f64 phi1))) (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta)))) 2)
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (/.f64 (+.f64 (cos.f64 delta) (cos.f64 (neg.f64 delta))) 2))
(/.f64 (-.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) (.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta)))))) 2)) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 delta)) (+.f64 (.f64 2 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 theta) (cos.f64 phi1))))))) (cos.f64 delta))) 2)
(-.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) 2) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))))
(pow.f64 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) (cos.f64 delta)) 1)
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(neg.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (cos.f64 delta))
(+.f64 -1 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 0)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 1 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 0 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1) -1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) 1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(+.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 0)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 0 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1) 1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 (+.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (neg.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2)))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(-.f64 (/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) 2))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) 2)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))) -1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2))) 4)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2))) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (.f64 (sin.f64 phi1) 2)))) 8)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) (*.f64 (sin.f64 phi1) 2)) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))) (*.f64 2 (sin.f64 phi1))) (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta))) 2)
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (/.f64 (-.f64 (cos.f64 (neg.f64 delta)) (cos.f64 delta)) 2))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 phi1) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) 2))) 16)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))) 2)) (.f64 2 (.f64 (sin.f64 phi1) 2))) 16)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(pow.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))
(neg.f64 (neg.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1)))))

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
	0.0b	(cos.f64 delta)
✓	0.1b	(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))
	0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	inf	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
0.0ms	lambda1	@	0	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
0.0ms	lambda1	@	-inf	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
0.0ms	delta	@	0	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
0.0ms	theta	@	0	(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))

rewrite313.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`rational_best-4`
2024×	`rational_best-2`
2024×	`rational_best-3`
2024×	`rational_best-1`
2024×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	90	56
2	261	56
3	984	56
4	4836	56

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) (neg.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) (/.f64 (neg.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (-.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 lambda1 2) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (-.f64 0 (/.f64 lambda1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) lambda1) (-.f64 0 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (neg.f64 lambda1)) (-.f64 0 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 lambda1 2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))) (-.f64 0 (/.f64 lambda1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 lambda1 lambda1)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (*.f64 2 (+.f64 lambda1 lambda1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)))))

simplify593.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational_best-simplify-97`
1086×	`rational_best-simplify-98`
754×	`rational_best-simplify-3`
740×	`rational_best-simplify-50`
664×	`rational_best-simplify-85`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	2831
1	219	2831
2	578	2831
3	2518	2831
4	6432	2831

Stop Event

1×	node limit

Counts

101 → 45

Calls

Call 1

Inputs
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) 2))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 1/2)
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 1/4)
(/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 2)
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 8)
(pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) (neg.f64 lambda1))
(-.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 0)
(-.f64 0 (-.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(-.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) (/.f64 (neg.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1)) 2))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (-.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(-.f64 (+.f64 (/.f64 lambda1 2) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (-.f64 0 (/.f64 lambda1 2)))
(-.f64 (+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) lambda1) (-.f64 0 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(-.f64 (-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (neg.f64 lambda1)) (-.f64 0 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(-.f64 (-.f64 (/.f64 lambda1 2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))) (-.f64 0 (/.f64 lambda1 2)))
(.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)
(.f64 1 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1))
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))
(.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 1/4)
(/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 lambda1 lambda1)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (.f64 2 (+.f64 lambda1 lambda1))) 4)
(pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)

Outputs
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
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(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)) lambda1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 0)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) 2))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 1/2)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 1/4)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) 2)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) 4)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 8)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta))
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) (neg.f64 lambda1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 0)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 0 (-.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) (/.f64 (neg.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1)) 2))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (-.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (+.f64 (/.f64 lambda1 2) (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (-.f64 0 (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) lambda1) (-.f64 0 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2) (neg.f64 lambda1)) (-.f64 0 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(-.f64 (-.f64 (/.f64 lambda1 2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))) (-.f64 0 (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(.f64 1 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 1/2)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(.f64 1/2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 1/4)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2) 2)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) 4)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (+.f64 (.f64 2 (+.f64 lambda1 lambda1)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2))) 4)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 2))) 8)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) 2)) (.f64 2 (+.f64 lambda1 lambda1))) 4)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))
(pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)) lambda1) 1)
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 delta)))

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
✓	0.2b	(*.f64 (sin.f64 delta) (sin.f64 theta))
	0.2b	(pow.f64 (sin.f64 phi1) 2)
	0.4b	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series26.0ms (0%)

Counts

2 → 8

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	delta	@	-inf	(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
0.0ms	delta	@	0	(*.f64 (sin.f64 delta) (sin.f64 theta))
0.0ms	theta	@	0	(*.f64 (sin.f64 delta) (sin.f64 theta))
0.0ms	delta	@	0	(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
0.0ms	theta	@	inf	(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

rewrite301.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational_best-simplify-56`
812×	`rational_best-simplify-1`
596×	`rational_best-simplify-85`
492×	`rational_best-4`
492×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	107	52
2	285	52
3	1058	52
4	5105	52

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(*.f64 (sin.f64 delta) (sin.f64 theta))
(atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 delta) (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (/.f64 (/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4) (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 delta theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (*.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (*.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) (sin.f64 theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (-.f64 (*.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 delta) (cos.f64 theta)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (sin.f64 delta) (sin.f64 theta))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) (*.f64 4 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (cos.f64 (-.f64 delta theta))) (*.f64 2 (cos.f64 (+.f64 delta theta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 4 (*.f64 (sin.f64 delta) (sin.f64 theta)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 2) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (sin.f64 delta) 2))) (+.f64 (*.f64 2 (*.f64 (sin.f64 theta) 2)) (*.f64 2 (*.f64 (sin.f64 theta) 2)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 theta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) 2) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 theta) 2)) (*.f64 2 (*.f64 (sin.f64 theta) 2))) (+.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (sin.f64 delta) 2)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 2) (+.f64 (*.f64 2 (*.f64 (sin.f64 theta) 2)) (*.f64 2 (*.f64 (sin.f64 theta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) 2) (+.f64 (*.f64 2 (*.f64 (sin.f64 delta) 2)) (*.f64 2 (*.f64 (sin.f64 delta) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))))

simplify294.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-63`
1062×	`rational_best-simplify-3`
800×	`rational_best-simplify-55`
776×	`rational_best-simplify-1`
540×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2361
1	486	2337
2	1316	2291
3	5237	2237

Stop Event

1×	node limit

Counts

71 → 116

Calls

Call 1

Inputs
(*.f64 (sin.f64 theta) delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (pow.f64 delta 5) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 delta 7) (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (pow.f64 delta 5) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta))))
(*.f64 (sin.f64 delta) theta)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (*.f64 (sin.f64 delta) theta))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (pow.f64 theta 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5))))))
(+.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(+.f64 0 (*.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(+.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)))
(+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2))
(+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(-.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(-.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (/.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4) (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2))))
(-.f64 0 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(-.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(-.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 delta theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2))
(-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (+.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(-.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(/.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) 2)
(/.f64 (.f64 4 (.f64 (sin.f64 delta) (sin.f64 theta))) 4)
(/.f64 (.f64 4 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 8)
(/.f64 (+.f64 (.f64 4 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) (.f64 4 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)))) 16)
(/.f64 (-.f64 (.f64 2 (cos.f64 (-.f64 delta theta))) (.f64 2 (cos.f64 (+.f64 delta theta)))) 4)
(/.f64 (.f64 4 (.f64 4 (*.f64 (sin.f64 delta) (sin.f64 theta)))) 16)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (sin.f64 delta) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (*.f64 (sin.f64 theta) 2)))) 64)
(/.f64 (.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 theta) 2)) 4)
(/.f64 (.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 theta) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (sin.f64 delta) 2)))) 64)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 2)) 4)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 theta) 2)))) 16)
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (sin.f64 delta) 2)))) 16)
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(neg.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(.f64 1/2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(.f64 1/4 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)
(/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)
(pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)

Outputs
(*.f64 (sin.f64 theta) delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta))
(+.f64 (.f64 (sin.f64 theta) delta) (.f64 (sin.f64 theta) (*.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 (sin.f64 theta) delta) (.f64 (sin.f64 theta) (*.f64 -1/6 (pow.f64 delta 3))))
(.f64 (sin.f64 theta) (+.f64 delta (.f64 -1/6 (pow.f64 delta 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (pow.f64 delta 5) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 5) 1/120)) (.f64 (sin.f64 theta) (*.f64 (pow.f64 delta 3) -1/6))))
(+.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 (sin.f64 theta) (.f64 -1/6 (pow.f64 delta 3))) (.f64 (sin.f64 theta) (*.f64 1/120 (pow.f64 delta 5)))))
(+.f64 (.f64 (sin.f64 theta) delta) (.f64 (sin.f64 theta) (+.f64 (.f64 -1/6 (pow.f64 delta 3)) (.f64 1/120 (pow.f64 delta 5)))))
(+.f64 (.f64 (sin.f64 theta) delta) (.f64 (sin.f64 theta) (+.f64 (.f64 1/120 (pow.f64 delta 5)) (.f64 -1/6 (pow.f64 delta 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 delta 3) (sin.f64 theta))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 delta 7) (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (pow.f64 delta 5) (sin.f64 theta))) (*.f64 (sin.f64 theta) delta))))
(+.f64 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 3) -1/6)) (+.f64 (+.f64 (.f64 (sin.f64 theta) delta) (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 5) 1/120))) (.f64 (sin.f64 theta) (*.f64 (pow.f64 delta 7) -1/5040))))
(+.f64 (.f64 (sin.f64 theta) (.f64 -1/6 (pow.f64 delta 3))) (+.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 (sin.f64 theta) (.f64 1/120 (pow.f64 delta 5))) (.f64 (sin.f64 theta) (*.f64 -1/5040 (pow.f64 delta 7))))))
(+.f64 (.f64 (sin.f64 theta) (+.f64 delta (.f64 1/120 (pow.f64 delta 5)))) (.f64 (sin.f64 theta) (+.f64 (.f64 -1/6 (pow.f64 delta 3)) (*.f64 -1/5040 (pow.f64 delta 7)))))
(*.f64 (sin.f64 delta) theta)
(*.f64 theta (sin.f64 delta))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (*.f64 (sin.f64 delta) theta))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/6 (*.f64 (sin.f64 delta) (pow.f64 theta 3))))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 theta 3) (*.f64 -1/6 (sin.f64 delta))))
(.f64 (sin.f64 delta) (+.f64 theta (.f64 -1/6 (pow.f64 theta 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 theta (sin.f64 delta)) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5)))))
(+.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 (pow.f64 theta 3) (.f64 -1/6 (sin.f64 delta))) (.f64 (sin.f64 delta) (*.f64 (pow.f64 theta 5) 1/120))))
(+.f64 (.f64 (sin.f64 delta) (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 (pow.f64 theta 5) (.f64 1/120 (sin.f64 delta))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (pow.f64 theta 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 1/120 (*.f64 (sin.f64 delta) (pow.f64 theta 5))))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 1/120 (.f64 (sin.f64 delta) (pow.f64 theta 5)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (.f64 -1/5040 (*.f64 (sin.f64 delta) (pow.f64 theta 7)))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 (sin.f64 delta) (.f64 (pow.f64 theta 5) 1/120))) (+.f64 (.f64 (pow.f64 theta 3) (.f64 -1/6 (sin.f64 delta))) (.f64 (pow.f64 theta 7) (*.f64 -1/5040 (sin.f64 delta)))))
(+.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (pow.f64 theta 5))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (pow.f64 theta 3))) (.f64 -1/5040 (*.f64 (sin.f64 delta) (pow.f64 theta 7))))))
(+.f64 (.f64 (sin.f64 delta) (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (+.f64 (.f64 1/120 (pow.f64 theta 5)) (*.f64 -1/5040 (pow.f64 theta 7)))))
(+.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 0 (*.f64 (sin.f64 delta) (sin.f64 theta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)))
(*.f64 (/.f64 (sin.f64 theta) 2) (+.f64 (sin.f64 delta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 delta) (sin.f64 delta)) 2))
(.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) 2)
(+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 delta theta))) 2) 0))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 0)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (/.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4) (*.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2))))
(-.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) -2)))
(+.f64 (.f64 -3 (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -2)) (neg.f64 (*.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2))))
(+.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 3/2) (neg.f64 (*.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2))))
(-.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 3/2) (*.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)))
(-.f64 0 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))
(neg.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))
(*.f64 (sin.f64 delta) (neg.f64 (sin.f64 (neg.f64 theta))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 0 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (/.f64 (cos.f64 (-.f64 delta theta)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 delta theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 delta theta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 delta theta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (neg.f64 (.f64 (sin.f64 theta) (sin.f64 delta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -2))
(+.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1/2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) 4))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (neg.f64 (.f64 (sin.f64 theta) (sin.f64 delta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) -2))
(+.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1/2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (cos.f64 (-.f64 theta delta))) 2))
(-.f64 (.f64 (sin.f64 delta) (/.f64 (sin.f64 theta) 2)) (/.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2))
(-.f64 (.f64 (sin.f64 theta) (/.f64 (sin.f64 delta) 2)) (/.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2))
(-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (+.f64 (/.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2)))
(-.f64 (/.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) 2) (/.f64 (+.f64 (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) (cos.f64 (+.f64 theta delta))) 2))
(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 theta)) (+.f64 (cos.f64 (+.f64 theta delta)) (.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))) 2)
(+.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 1/2) (neg.f64 (/.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))) 2)))
(-.f64 (/.f64 (cos.f64 (-.f64 theta delta)) 2) (/.f64 (cos.f64 (+.f64 delta theta)) 2))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) 2)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 4 (.f64 (sin.f64 delta) (sin.f64 theta))) 4)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 4 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) 2))) 8)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (+.f64 (.f64 4 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2))) (.f64 4 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)))) 16)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (-.f64 (.f64 2 (cos.f64 (-.f64 delta theta))) (.f64 2 (cos.f64 (+.f64 delta theta)))) 4)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 4 (.f64 4 (*.f64 (sin.f64 delta) (sin.f64 theta)))) 16)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (sin.f64 delta) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (*.f64 (sin.f64 theta) 2)))) 64)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 theta) 2)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 theta) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 theta) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 theta) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (*.f64 (sin.f64 delta) 2)))) 64)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 2)) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8)
(/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 delta) (cos.f64 (-.f64 delta (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (+.f64 (.f64 2 (.f64 (sin.f64 theta) 2)) (.f64 2 (.f64 (sin.f64 theta) 2)))) 16)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(/.f64 (.f64 (.f64 (sin.f64 theta) 2) (+.f64 (.f64 2 (.f64 (sin.f64 delta) 2)) (.f64 2 (.f64 (sin.f64 delta) 2)))) 16)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1)
(*.f64 (sin.f64 theta) (sin.f64 delta))
(neg.f64 (*.f64 (sin.f64 delta) (sin.f64 (neg.f64 theta))))
(*.f64 (sin.f64 delta) (neg.f64 (sin.f64 (neg.f64 theta))))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 delta theta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 delta theta)) 2) (/.f64 (cos.f64 (-.f64 theta delta)) 2)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/4 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 1/4)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) 4)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))) 8)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

localize147.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))
	0.1b	(*.f64 (sin.f64 delta) (cos.f64 phi1))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
✓	2.0b	(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))

Compiler

Compiled 76 to 32 computations (57.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	delta	@	0	(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))
0.0ms	delta	@	-inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))
0.0ms	theta	@	0	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))
0.0ms	theta	@	inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))
0.0ms	theta	@	-inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))

rewrite408.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`rational_best-simplify-1`
706×	`rational_best-simplify-62`
678×	`rational_best-simplify-86`
634×	`rational_best-simplify-85`
520×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	123	68
2	302	68
3	1220	40
4	5712	40

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))
(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (cos.f64 delta)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 delta (*.f64 (PI.f64) -1/2)))) (*.f64 (cos.f64 0) (cos.f64 (-.f64 (PI.f64) delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (*.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 delta) 2) (*.f64 (*.f64 (sin.f64 delta) 2) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 delta) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 delta) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 2 (*.f64 (cos.f64 delta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 delta) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 delta) 2)) (*.f64 2 (*.f64 (cos.f64 delta) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 delta)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 delta))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)))))

simplify554.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational_best-simplify-1`
928×	`rational_best-simplify-56`
918×	`rational_best-simplify-108`
692×	`rational_best-simplify-3`
684×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	3052
1	348	3046
2	902	3026
3	3790	3026

Stop Event

1×	node limit

Counts

102 → 76

Calls

Call 1

Inputs
(sin.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) delta))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 3))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(+.f64 (cos.f64 delta) 0)
(+.f64 0 (cos.f64 delta))
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))
(+.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))))
(-.f64 (cos.f64 delta) 0)
(-.f64 0 (neg.f64 (cos.f64 delta)))
(-.f64 0 (+.f64 (neg.f64 (cos.f64 delta)) 0))
(-.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))
(-.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))
(-.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (+.f64 delta (.f64 (PI.f64) -1/2)))) (*.f64 (cos.f64 0) (cos.f64 (-.f64 (PI.f64) delta))))
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))
(.f64 1/2 (.f64 (cos.f64 delta) 2))
(.f64 1/2 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 delta) 2) (sin.f64 0))))
(*.f64 (cos.f64 delta) 1)
(*.f64 (cos.f64 delta) (cos.f64 0))
(.f64 (cos.f64 delta) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (cos.f64 delta))
(.f64 (.f64 (cos.f64 delta) 2) 1/2)
(.f64 (.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))
(*.f64 (cos.f64 0) (cos.f64 delta))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 delta) 2))
(.f64 1/4 (.f64 2 (*.f64 (cos.f64 delta) 2)))
(*.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))
(*.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (cos.f64 delta) 2)))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))
(/.f64 (cos.f64 delta) 1)
(/.f64 (*.f64 (cos.f64 delta) 2) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) 8)
(pow.f64 (cos.f64 delta) 1)
(neg.f64 (neg.f64 (cos.f64 delta)))
(cos.f64 delta)
(cos.f64 (neg.f64 delta))
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta))) 2))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)
(.f64 1/4 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 1/4)
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 2)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))) 8)
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)

Outputs
(sin.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (neg.f64 delta)))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) delta))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (sin.f64 (*.f64 1/2 (PI.f64)))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 delta)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 (pow.f64 delta 2) -1/2))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 delta)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -1/2 (pow.f64 delta 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 delta)) (+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -1/2 (pow.f64 delta 2)))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 3))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)))))
(+.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) delta)) (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 3)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 delta 2))) (sin.f64 (.f64 1/2 (PI.f64)))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 delta)) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 (pow.f64 delta 2) -1/2)) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (*.f64 (pow.f64 delta 3) 1/6)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 delta)) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 1/6 (pow.f64 delta 3))) (+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 delta 2))))))
(+.f64 (sin.f64 (.f64 1/2 (PI.f64))) (-.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 1/6 (pow.f64 delta 3))) (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -1/2 (pow.f64 delta 2)))) (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) delta))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64))))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(+.f64 (cos.f64 delta) 0)
(cos.f64 delta)
(+.f64 0 (cos.f64 delta))
(cos.f64 delta)
(+.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(+.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))))
(*.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (+.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2)))))
(.f64 -2 (neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))))))
(.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 delta 2))))) -2)
(-.f64 (cos.f64 delta) 0)
(cos.f64 delta)
(-.f64 0 (neg.f64 (cos.f64 delta)))
(cos.f64 delta)
(-.f64 0 (+.f64 (neg.f64 (cos.f64 delta)) 0))
(cos.f64 delta)
(-.f64 (*.f64 (cos.f64 delta) 2) (cos.f64 delta))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (/.f64 (neg.f64 (cos.f64 delta)) 2))
(cos.f64 delta)
(-.f64 (/.f64 (cos.f64 delta) 2) (neg.f64 (/.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(-.f64 (.f64 (sin.f64 0) (cos.f64 (+.f64 delta (.f64 (PI.f64) -1/2)))) (*.f64 (cos.f64 0) (cos.f64 (-.f64 (PI.f64) delta))))
(-.f64 (.f64 (cos.f64 (/.f64 delta 2)) (cos.f64 (/.f64 delta 2))) (.f64 (sin.f64 (/.f64 delta 2)) (sin.f64 (/.f64 delta 2))))
(cos.f64 delta)
(.f64 1/2 (.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(.f64 1/2 (-.f64 (.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 delta) 2) (sin.f64 0))))
(cos.f64 delta)
(*.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(*.f64 (cos.f64 delta) (cos.f64 0))
(cos.f64 delta)
(.f64 (cos.f64 delta) (.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 delta)
(*.f64 1 (cos.f64 delta))
(cos.f64 delta)
(.f64 (.f64 (cos.f64 delta) 2) 1/2)
(cos.f64 delta)
(.f64 (.f64 (cos.f64 delta) 2) (/.f64 (cos.f64 0) 2))
(cos.f64 delta)
(*.f64 (cos.f64 0) (cos.f64 delta))
(cos.f64 delta)
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(.f64 1/4 (.f64 2 (*.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(*.f64 (neg.f64 (cos.f64 delta)) (-.f64 0 (cos.f64 0)))
(cos.f64 delta)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) 1/4)
(cos.f64 delta)
(.f64 (.f64 2 (*.f64 (cos.f64 delta) 2)) (/.f64 (cos.f64 0) 4))
(cos.f64 delta)
(*.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 delta)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 delta))
(cos.f64 delta)
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (cos.f64 delta) 2)))
(cos.f64 delta)
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 delta) 2))
(cos.f64 delta)
(/.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(/.f64 (*.f64 (cos.f64 delta) 2) 2)
(cos.f64 delta)
(/.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) 4)
(cos.f64 delta)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 delta) 2)) (.f64 2 (.f64 (cos.f64 delta) 2))) 8)
(cos.f64 delta)
(pow.f64 (cos.f64 delta) 1)
(cos.f64 delta)
(neg.f64 (neg.f64 (cos.f64 delta)))
(cos.f64 delta)
(cos.f64 delta)
(cos.f64 (neg.f64 delta))
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 1/4 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 1/4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2) 2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) 4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2)) (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 2))) 8)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (cos.f64 delta))

localize154.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))
	0.2b	(.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))
	0.2b	(pow.f64 (sin.f64 phi1) 2)
✓	0.6b	(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))

Compiler

Compiled 149 to 89 computations (40.3% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	inf	(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))
1.0ms	phi1	@	-inf	(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))
0.0ms	phi1	@	0	(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))
0.0ms	delta	@	-inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))
0.0ms	phi1	@	inf	(atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))

rewrite377.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational_best-simplify-62`
644×	`rational_best-4`
644×	`rational_best-2`
644×	`rational_best-3`
644×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	140
1	171	132
2	416	84
3	1540	72
4	7511	72

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs

(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))

(atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 2 (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 3/2 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (+.f64 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) -1) (+.f64 (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3)) (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (-.f64 (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (-.f64 (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) 1/4) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) -1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (+.f64 1 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -3/2 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) -1)) (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) 1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))) (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) (*.f64 2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)))))

simplify383.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational_best-simplify-49`
876×	`rational_best-simplify-57`
814×	`rational_best-simplify-64`
686×	`rational_best-simplify-47`
624×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	7605
1	561	4435
2	1454	4313
3	5357	4221

Stop Event

1×	node limit

Counts

125 → 113

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 phi1 2)) 1)
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 1 (.f64 1/3 (pow.f64 phi1 4))))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 (.f64 -2/45 (pow.f64 phi1 6)) (+.f64 1 (*.f64 1/3 (pow.f64 phi1 4)))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 2 (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))
(-.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 0)
(-.f64 0 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(-.f64 0 (*.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(-.f64 0 (-.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))
(-.f64 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) -3/2)
(-.f64 (+.f64 1 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 (+.f64 1 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 3/2 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) -1)
(-.f64 (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (neg.f64 (+.f64 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3))))
(-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) -1))
(-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) 1/2))
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(-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (neg.f64 (+.f64 1 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
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(-.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) 2))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) 1/4) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (+.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2) (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 2)))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) -1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (+.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (+.f64 3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (+.f64 1 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (+.f64 -1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (+.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -3/2 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) -1)) (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)) (-.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) 1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))) (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (-.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))
(-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) -3/2) (-.f64 (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) 2)) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) -2) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 1 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(*.f64 1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))
(*.f64 -1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 1/2)
(*.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) -1)
(.f64 (.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 1/4)
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 2)
(/.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) -1)
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))) 8)
(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2)) 4)
(pow.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(neg.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(neg.f64 (*.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(neg.f64 (-.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2))
(-.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2))
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 1/2)
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 1/4)
(/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2)
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))) 8)
(pow.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 phi1 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 phi1 2)))
(+.f64 1 (neg.f64 (pow.f64 phi1 2)))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 1 (.f64 1/3 (pow.f64 phi1 4))))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 phi1 4)) (neg.f64 (pow.f64 phi1 2))))
(-.f64 (*.f64 1/3 (pow.f64 phi1 4)) (+.f64 -1 (pow.f64 phi1 2)))
(+.f64 (.f64 -1 (pow.f64 phi1 2)) (+.f64 (.f64 -2/45 (pow.f64 phi1 6)) (+.f64 1 (*.f64 1/3 (pow.f64 phi1 4)))))
(+.f64 (+.f64 1 (.f64 1/3 (pow.f64 phi1 4))) (+.f64 (.f64 -2/45 (pow.f64 phi1 6)) (*.f64 -1 (pow.f64 phi1 2))))
(+.f64 (neg.f64 (pow.f64 phi1 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 phi1 4)) (.f64 -2/45 (pow.f64 phi1 6)))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 phi1 4)) (+.f64 -1 (pow.f64 phi1 2))) (.f64 -2/45 (pow.f64 phi1 6)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
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(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 1/2 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 2 (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 -1/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (-.f64 -3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 0)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 0 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
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(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) (-.f64 (-.f64 1/2 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4)))
(-.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (-.f64 1/2 (.f64 -2 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) -3/4))))
(-.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) 3/4) 2) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) -1/2))
(+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))
(-.f64 (-.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4)) (-.f64 -3/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (neg.f64 (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (-.f64 -1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4))) (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) 5/4))
(-.f64 (.f64 -2 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) 4) -1/4)) (-.f64 -3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))
(-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (-.f64 (-.f64 1/4 (/.f64 (pow.f64 (sin.f64 phi1) 2) -2)) 5/4))
(-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))
(-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) -3/2) (-.f64 (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) 2)) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) (+.f64 3/2 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(-.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) -2) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2) (+.f64 1 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 1/2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 -1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 1/2)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) -1)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(.f64 (.f64 2 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 1/4)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2) 2)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)) -1)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) 4)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2)) (.f64 2 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) -2))) 8)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 4)
(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (.f64 2 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 3))) 4)
(+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -2) 1/2) (/.f64 (*.f64 2 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 3)) 4))
(/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3) 1/2)) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2)) 4)
(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (.f64 2 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 3))) 4)
(+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -2) 1/2) (/.f64 (*.f64 2 (+.f64 (neg.f64 (pow.f64 (sin.f64 phi1) 2)) 3)) 4))
(/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -2) 2) (/.f64 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3) 1/2)) 4)
(pow.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))) 1)
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(neg.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(neg.f64 (*.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(neg.f64 (-.f64 2 (+.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))
(-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 0 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 0)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 1/2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 1/4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))) 2)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) 4)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))))) (.f64 2 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2))))))) 8)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(pow.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))) 1)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))) (.f64 (pow.f64 (sin.f64 phi1) 2) 1/2)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

eval1.5s (1.6%)

Compiler: Compiled 34637 to 15313 computations (55.8% saved)

prune1.5s (1.7%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	1082	22	1104
Fresh	1	13	14
Picked	1	0	1
Done	0	8	8
Total	1084	43	1127

Error

0.0b

Counts

1127 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	6.8b	(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
	6.8b	(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
	14.1b	(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
	12.0b	(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
	21.6b	(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
	20.7b	(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	3.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	21.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)) (-.f64 -1 (/.f64 (cos.f64 delta) 2)))))
	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 3 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	4.3b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
✓	2.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	3.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	3.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
✓	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	17.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
	9.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
✓	10.0b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
✓	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
	12.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
	6.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
	11.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
✓	6.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
▶	13.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	12.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
▶	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
	12.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
	6.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
✓	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	19.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
	16.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
▶	14.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
▶	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
	15.5b	lambda1

Compiler

Compiled 1905 to 1365 computations (28.3% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))
	0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))
	0.3b	(.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))
	0.5b	(-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))

Compiler

Compiled 163 to 21 computations (87.1% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 delta)
✓	0.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
✓	0.1b	(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
✓	0.1b	(*.f64 (sin.f64 delta) theta)

Compiler

Compiled 32 to 10 computations (68.8% saved)

series5.0ms (0%)

Counts

3 → 40

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	theta	@	inf	(*.f64 (sin.f64 delta) theta)
0.0ms	delta	@	0	(*.f64 (sin.f64 delta) theta)
0.0ms	theta	@	0	(*.f64 (sin.f64 delta) theta)
0.0ms	delta	@	-inf	(*.f64 (sin.f64 delta) theta)
0.0ms	theta	@	-inf	(*.f64 (sin.f64 delta) theta)

rewrite135.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`rational_best-4`
812×	`rational_best-2`
812×	`rational_best-3`
812×	`rational_best-1`
812×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	76	59
2	177	59
3	510	59
4	1866	59

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(*.f64 (sin.f64 delta) theta)
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) theta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 delta) theta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (*.f64 theta 1/2)) (*.f64 (sin.f64 delta) (*.f64 theta 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 delta) theta) 4) (/.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 delta) theta) 4) (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) theta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (*.f64 theta 1/2)) (/.f64 (*.f64 (sin.f64 delta) theta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (*.f64 theta 1/2)) (/.f64 (*.f64 -2 (*.f64 (sin.f64 delta) theta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sin.f64 delta) theta) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta 3)) 4) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) theta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) theta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (+.f64 theta theta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 theta 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 2 (*.f64 theta 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 theta 4) (*.f64 (sin.f64 delta) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 theta 4)) (*.f64 2 (*.f64 (sin.f64 delta) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 delta) 4)) (*.f64 2 (*.f64 theta 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 0) 2) (*.f64 (sin.f64 delta) (+.f64 theta theta))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 2) (*.f64 2 (*.f64 theta 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 theta theta) (*.f64 2 (*.f64 (sin.f64 delta) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 delta) theta) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (*.f64 3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2) (/.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 lambda1 lambda1) (+.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (-.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) lambda1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (*.f64 -2 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 lambda1 2) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) (/.f64 lambda1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 lambda1 2) (+.f64 (/.f64 lambda1 -2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 lambda1 2) (/.f64 (-.f64 0 (+.f64 lambda1 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 lambda1 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 lambda1 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (+.f64 (*.f64 -3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 lambda1 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (-.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) lambda1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 4) (/.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 2) 2) (/.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 lambda1 lambda1) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 lambda1 4)) (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) (*.f64 2 (*.f64 lambda1 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (neg.f64 (*.f64 lambda1 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 lambda1 4) (neg.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))))))

simplify454.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

804×	`rational_best-simplify-47`
674×	`rational_best-simplify-50`
566×	`rational_best-simplify-65`
496×	`rational_best-simplify-49`
496×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2985
1	574	2985
2	1593	2979
3	7382	2979

Stop Event

1×	node limit

Counts

125 → 109

Calls

Call 1

Inputs
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (*.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 1/120 (.f64 theta (pow.f64 delta 5))) (*.f64 theta delta)))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 1/120 (.f64 theta (pow.f64 delta 5))) (+.f64 (.f64 -1/5040 (.f64 theta (pow.f64 delta 7))) (*.f64 theta delta))))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (*.f64 (sin.f64 delta) theta) 0)
(+.f64 0 (*.f64 (sin.f64 delta) theta))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (.f64 (sin.f64 delta) (.f64 theta 1/2)))
(+.f64 (/.f64 (.f64 (sin.f64 delta) theta) 4) (/.f64 (/.f64 (.f64 (sin.f64 delta) (*.f64 theta 3)) 2) 2))
(+.f64 (/.f64 (.f64 (sin.f64 delta) theta) 4) (/.f64 (.f64 (sin.f64 delta) (*.f64 theta 3)) 4))
(-.f64 (*.f64 (sin.f64 delta) theta) 0)
(-.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (/.f64 (*.f64 (sin.f64 delta) theta) -2))
(-.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (/.f64 (.f64 -2 (.f64 (sin.f64 delta) theta)) 4))
(-.f64 (/.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sin.f64 delta) theta) -2) 2))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta 3)) 4) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) theta)) 4))
(/.f64 (*.f64 (sin.f64 delta) theta) 1)
(/.f64 (*.f64 (sin.f64 delta) (+.f64 theta theta)) 2)
(/.f64 (.f64 (sin.f64 delta) (.f64 theta 4)) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (*.f64 theta 4))) 8)
(/.f64 (.f64 (.f64 theta 4) (*.f64 (sin.f64 delta) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 theta 4)) (.f64 2 (*.f64 (sin.f64 delta) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 4)) (.f64 2 (*.f64 theta 4))) 64)
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (*.f64 (sin.f64 delta) (+.f64 theta theta))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (.f64 2 (.f64 theta 4))) 16)
(/.f64 (.f64 (+.f64 theta theta) (.f64 2 (*.f64 (sin.f64 delta) 4))) 16)
(pow.f64 (*.f64 (sin.f64 delta) theta) 1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (.f64 3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)
(-.f64 0 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))
(-.f64 (/.f64 (.f64 3 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2) (/.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) 2))
(-.f64 (/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) 4))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 1/2)
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 1/4)
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 1/8)
(/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 8)
(pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(neg.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1))
(-.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 0)
(-.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) (neg.f64 lambda1)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (-.f64 (-.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) lambda1) 2))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (.f64 -2 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)) 4))
(-.f64 (/.f64 lambda1 2) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) (/.f64 lambda1 -2)))
(-.f64 (/.f64 lambda1 2) (+.f64 (/.f64 lambda1 -2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(-.f64 (/.f64 lambda1 2) (/.f64 (-.f64 0 (+.f64 lambda1 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))) 2))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(-.f64 (+.f64 lambda1 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))
(-.f64 (/.f64 (+.f64 lambda1 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (+.f64 (.f64 -3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 lambda1 -2)) 2))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (-.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) lambda1) 2))
(-.f64 (/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 4) (/.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) 4))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 2) 2) (/.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) 2))
(-.f64 (-.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(-.f64 (-.f64 lambda1 lambda1) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(.f64 1 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1))
(.f64 1/2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2))
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 1/4)
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 1/2)
(.f64 1/4 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4))
(.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 1/8)
(/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 4)
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 lambda1 4)) (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) (.f64 2 (*.f64 lambda1 4))) 8)
(/.f64 (-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (neg.f64 (*.f64 lambda1 4))) 4)
(/.f64 (-.f64 (.f64 lambda1 4) (neg.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 4)
(pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(neg.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))

Outputs
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (*.f64 theta delta))
(+.f64 (.f64 theta delta) (.f64 -1/6 (*.f64 theta (pow.f64 delta 3))))
(+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 theta delta) (.f64 theta (*.f64 -1/6 (pow.f64 delta 3))))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 1/120 (.f64 theta (pow.f64 delta 5))) (*.f64 theta delta)))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 theta delta) (.f64 1/120 (*.f64 theta (pow.f64 delta 5)))))
(+.f64 (.f64 theta delta) (+.f64 (.f64 theta (.f64 (pow.f64 delta 3) -1/6)) (.f64 (pow.f64 delta 5) (*.f64 theta 1/120))))
(+.f64 (.f64 theta delta) (+.f64 (.f64 theta (.f64 -1/6 (pow.f64 delta 3))) (.f64 theta (*.f64 1/120 (pow.f64 delta 5)))))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 1/120 (.f64 theta (pow.f64 delta 5))) (+.f64 (.f64 -1/5040 (.f64 theta (pow.f64 delta 7))) (*.f64 theta delta))))
(+.f64 (.f64 -1/6 (.f64 theta (pow.f64 delta 3))) (+.f64 (.f64 theta delta) (+.f64 (.f64 -1/5040 (.f64 theta (pow.f64 delta 7))) (.f64 1/120 (*.f64 theta (pow.f64 delta 5))))))
(+.f64 (.f64 theta (.f64 (pow.f64 delta 3) -1/6)) (+.f64 (.f64 theta delta) (+.f64 (.f64 (pow.f64 delta 5) (.f64 theta 1/120)) (.f64 (pow.f64 delta 7) (*.f64 theta -1/5040)))))
(+.f64 (.f64 theta delta) (+.f64 (.f64 theta (.f64 -1/5040 (pow.f64 delta 7))) (+.f64 (.f64 theta (.f64 -1/6 (pow.f64 delta 3))) (.f64 theta (*.f64 1/120 (pow.f64 delta 5))))))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
lambda1
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(+.f64 (*.f64 (sin.f64 delta) theta) 0)
(*.f64 theta (sin.f64 delta))
(+.f64 0 (*.f64 (sin.f64 delta) theta))
(*.f64 theta (sin.f64 delta))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (.f64 (sin.f64 delta) (.f64 theta 1/2)))
(*.f64 theta (sin.f64 delta))
(+.f64 (/.f64 (.f64 (sin.f64 delta) theta) 4) (/.f64 (/.f64 (.f64 (sin.f64 delta) (*.f64 theta 3)) 2) 2))
(*.f64 theta (sin.f64 delta))
(+.f64 (/.f64 (.f64 (sin.f64 delta) theta) 4) (/.f64 (.f64 (sin.f64 delta) (*.f64 theta 3)) 4))
(*.f64 theta (sin.f64 delta))
(-.f64 (*.f64 (sin.f64 delta) theta) 0)
(*.f64 theta (sin.f64 delta))
(-.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (/.f64 (*.f64 (sin.f64 delta) theta) -2))
(*.f64 theta (sin.f64 delta))
(-.f64 (.f64 (sin.f64 delta) (.f64 theta 1/2)) (/.f64 (.f64 -2 (.f64 (sin.f64 delta) theta)) 4))
(*.f64 theta (sin.f64 delta))
(-.f64 (/.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sin.f64 delta) theta) -2) 2))
(*.f64 theta (sin.f64 delta))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta 3)) 4) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) theta)) 4))
(*.f64 theta (sin.f64 delta))
(/.f64 (*.f64 (sin.f64 delta) theta) 1)
(*.f64 theta (sin.f64 delta))
(/.f64 (*.f64 (sin.f64 delta) (+.f64 theta theta)) 2)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (sin.f64 delta) (.f64 theta 4)) 4)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (sin.f64 delta) (.f64 2 (*.f64 theta 4))) 8)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (.f64 theta 4) (*.f64 (sin.f64 delta) 4)) 16)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (.f64 2 (.f64 theta 4)) (.f64 2 (*.f64 (sin.f64 delta) 4))) 64)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 delta) 4)) (.f64 2 (*.f64 theta 4))) 64)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (*.f64 (sin.f64 delta) (+.f64 theta theta))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 theta theta)) (*.f64 2 (cos.f64 0))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 (+.f64 theta theta) (*.f64 2 (cos.f64 0)))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 4 (*.f64 (cos.f64 0) theta))) 4)
(/.f64 (.f64 (.f64 (sin.f64 delta) 2) (.f64 2 (.f64 theta 4))) 16)
(*.f64 theta (sin.f64 delta))
(/.f64 (.f64 (+.f64 theta theta) (.f64 2 (*.f64 (sin.f64 delta) 4))) 16)
(*.f64 theta (sin.f64 delta))
(pow.f64 (*.f64 (sin.f64 delta) theta) 1)
(*.f64 theta (sin.f64 delta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (.f64 3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (/.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 0)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 0 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 (/.f64 (.f64 3 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) 2) (/.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) 2))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 (/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 3) 4) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) 4))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 1/2)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 1/2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 1/4)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 1/8)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) -1)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) 2)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) 4)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(/.f64 (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) 8)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 1)
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(neg.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta))
(-.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 0)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 0 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (neg.f64 lambda1)))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (+.f64 lambda1 lambda1) (+.f64 lambda1 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (neg.f64 lambda1) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2)))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2) (neg.f64 lambda1)))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2) (/.f64 (-.f64 (-.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) lambda1) 2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) (/.f64 (.f64 -2 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1)) 4))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 lambda1 2) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) (/.f64 lambda1 -2)))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 lambda1 2) (+.f64 (/.f64 lambda1 -2) (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 lambda1 2) (/.f64 (-.f64 0 (+.f64 lambda1 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2))) 2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (+.f64 lambda1 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) -2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (+.f64 lambda1 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (+.f64 (.f64 -3 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 2)) (/.f64 lambda1 -2)) 2))
(/.f64 (-.f64 (+.f64 lambda1 (/.f64 (+.f64 (atan2.f64 (.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) (+.f64 (/.f64 lambda1 -2) (.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) -3/2))) 2)
(+.f64 (/.f64 (-.f64 (+.f64 lambda1 (/.f64 (+.f64 (atan2.f64 (.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1) 2)) (.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) -3/2)) 2) (/.f64 lambda1 4))
(-.f64 (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2)) 2) (/.f64 (-.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) lambda1) 2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 4) (/.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1) 4))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 3) 2) 2) (/.f64 (/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) -2) 2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (-.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(-.f64 (-.f64 lambda1 lambda1) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 1 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 1/2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 1/4)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 1/2)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 1/4 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 1/8)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4) 4)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (.f64 (+.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 2) 2)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (.f64 2 (.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 4)) 8)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (+.f64 (.f64 2 (.f64 lambda1 4)) (.f64 2 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 8)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4)) (.f64 2 (*.f64 lambda1 4))) 8)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (-.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4) (neg.f64 (*.f64 lambda1 4))) 4)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(/.f64 (-.f64 (.f64 lambda1 4) (neg.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) 4))) 4)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(pow.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) lambda1) 1)
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)
(neg.f64 (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))) lambda1))
(+.f64 (atan2.f64 (*.f64 theta (sin.f64 delta)) (cos.f64 delta)) lambda1)

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
✓	0.1b	(*.f64 (sin.f64 theta) delta)
	0.2b	(pow.f64 (sin.f64 phi1) 2)
	0.4b	(-.f64 1 (pow.f64 (sin.f64 phi1) 2))

Compiler

Compiled 53 to 27 computations (49.1% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	delta	@	0	(*.f64 (sin.f64 theta) delta)
0.0ms	delta	@	inf	(*.f64 (sin.f64 theta) delta)
0.0ms	theta	@	0	(*.f64 (sin.f64 theta) delta)
0.0ms	theta	@	-inf	(*.f64 (sin.f64 theta) delta)
0.0ms	theta	@	inf	(*.f64 (sin.f64 theta) delta)

rewrite302.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational_best-4`
990×	`rational_best-2`
990×	`rational_best-3`
990×	`rational_best-1`
990×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	93	44
2	201	44
3	589	44
4	2182	44

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 (sin.f64 theta) delta)
(atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 theta) delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 theta) delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 theta) delta) 2) (/.f64 (*.f64 (sin.f64 theta) delta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 theta) delta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 theta) delta) 2) (/.f64 (*.f64 (sin.f64 theta) delta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) delta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (*.f64 delta 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (*.f64 2 (*.f64 delta 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 theta) delta) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)))))

simplify297.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1006×	`rational_best-simplify-1`
948×	`rational_best-simplify-3`
716×	`rational_best-simplify-67`
660×	`rational_best-simplify-48`
658×	`rational_best-simplify-85`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	1822
1	180	1822
2	433	1798
3	1251	1798
4	5758	1796

Stop Event

1×	node limit

Counts

64 → 45

Calls

Call 1

Inputs
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (*.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (*.f64 theta delta)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 theta 7) delta)) (*.f64 theta delta))))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (*.f64 (sin.f64 theta) delta) 0)
(+.f64 0 (*.f64 (sin.f64 theta) delta))
(+.f64 (/.f64 (.f64 (sin.f64 theta) delta) 2) (/.f64 (.f64 (sin.f64 theta) delta) 2))
(-.f64 (*.f64 (sin.f64 theta) delta) 0)
(-.f64 (/.f64 (.f64 (sin.f64 theta) delta) 2) (/.f64 (.f64 (sin.f64 theta) delta) -2))
(/.f64 (*.f64 (sin.f64 theta) delta) 1)
(/.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)
(/.f64 (.f64 (sin.f64 theta) (.f64 delta 4)) 4)
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (*.f64 delta 4))) 8)
(/.f64 (.f64 (.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)
(pow.f64 (*.f64 (sin.f64 theta) delta) 1)
(+.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) -2))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(.f64 1/2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 1/4)
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4))
(.f64 (.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 1/8)
(/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 4)
(/.f64 (.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 8)
(pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)

Outputs
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (*.f64 theta delta))
(+.f64 (.f64 theta delta) (.f64 -1/6 (*.f64 delta (pow.f64 theta 3))))
(+.f64 (.f64 theta delta) (.f64 delta (*.f64 -1/6 (pow.f64 theta 3))))
(.f64 delta (+.f64 theta (.f64 -1/6 (pow.f64 theta 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (*.f64 theta delta)))
(+.f64 (.f64 theta delta) (+.f64 (.f64 1/120 (.f64 delta (pow.f64 theta 5))) (.f64 -1/6 (*.f64 delta (pow.f64 theta 3)))))
(+.f64 (.f64 theta delta) (+.f64 (.f64 delta (.f64 -1/6 (pow.f64 theta 3))) (.f64 (pow.f64 theta 5) (*.f64 delta 1/120))))
(+.f64 (.f64 theta delta) (.f64 delta (+.f64 (.f64 1/120 (pow.f64 theta 5)) (.f64 -1/6 (pow.f64 theta 3)))))
(.f64 delta (-.f64 (+.f64 theta (.f64 1/120 (pow.f64 theta 5))) (neg.f64 (*.f64 -1/6 (pow.f64 theta 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 theta 7) delta)) (*.f64 theta delta))))
(+.f64 (.f64 -1/6 (.f64 delta (pow.f64 theta 3))) (+.f64 (.f64 theta delta) (+.f64 (.f64 -1/5040 (.f64 delta (pow.f64 theta 7))) (.f64 1/120 (*.f64 delta (pow.f64 theta 5))))))
(+.f64 (.f64 delta (.f64 -1/6 (pow.f64 theta 3))) (+.f64 (.f64 theta delta) (+.f64 (.f64 (pow.f64 theta 5) (.f64 delta 1/120)) (.f64 delta (*.f64 -1/5040 (pow.f64 theta 7))))))
(+.f64 (.f64 delta (+.f64 theta (.f64 -1/5040 (pow.f64 theta 7)))) (.f64 delta (+.f64 (.f64 1/120 (pow.f64 theta 5)) (*.f64 -1/6 (pow.f64 theta 3)))))
(+.f64 (.f64 delta (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 delta (+.f64 (.f64 -1/5040 (pow.f64 theta 7)) (*.f64 1/120 (pow.f64 theta 5)))))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(*.f64 delta (sin.f64 theta))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (*.f64 (sin.f64 theta) delta) 0)
(*.f64 delta (sin.f64 theta))
(+.f64 0 (*.f64 (sin.f64 theta) delta))
(*.f64 delta (sin.f64 theta))
(+.f64 (/.f64 (.f64 (sin.f64 theta) delta) 2) (/.f64 (.f64 (sin.f64 theta) delta) 2))
(*.f64 delta (sin.f64 theta))
(-.f64 (*.f64 (sin.f64 theta) delta) 0)
(*.f64 delta (sin.f64 theta))
(-.f64 (/.f64 (.f64 (sin.f64 theta) delta) 2) (/.f64 (.f64 (sin.f64 theta) delta) -2))
(*.f64 delta (sin.f64 theta))
(/.f64 (*.f64 (sin.f64 theta) delta) 1)
(*.f64 delta (sin.f64 theta))
(/.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)
(*.f64 delta (sin.f64 theta))
(/.f64 (.f64 (sin.f64 theta) (.f64 delta 4)) 4)
(*.f64 delta (sin.f64 theta))
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (*.f64 delta 4))) 8)
(*.f64 delta (sin.f64 theta))
(/.f64 (.f64 (.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)
(*.f64 delta (sin.f64 theta))
(pow.f64 (*.f64 (sin.f64 theta) delta) 1)
(*.f64 delta (sin.f64 theta))
(+.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 0 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 0)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) -2))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 1/2)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/2 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 1/4)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 1/4 (.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4))
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(.f64 (.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 1/8)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 2 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 2)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 4) 4)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(/.f64 (.f64 (.f64 2 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) 4) 8)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))
(pow.f64 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))) 1)
(atan2.f64 (*.f64 delta (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))

localize245.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))
✓	0.1b	(*.f64 theta (cos.f64 phi1))
✓	0.2b	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
	2.0b	(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))

Compiler

Compiled 70 to 31 computations (55.7% saved)

series28.0ms (0%)

Counts

3 → 76

Calls

24 calls:

Time	Variable		Point	Expression
18.0ms	delta	@	inf	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
1.0ms	theta	@	0	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
1.0ms	delta	@	-inf	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
1.0ms	phi1	@	-inf	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
1.0ms	phi1	@	inf	(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))

rewrite300.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational_best-4`
1388×	`rational_best-2`
1388×	`rational_best-3`
1388×	`rational_best-1`
1388×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	115	77
2	253	77
3	814	63
4	3346	63

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs
(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
(*.f64 theta (cos.f64 phi1))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 2) (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 2) (/.f64 (neg.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (+.f64 theta theta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (*.f64 theta 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (*.f64 2 (*.f64 theta 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) 4) (*.f64 (cos.f64 phi1) (*.f64 theta 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 theta 4) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) 4) (*.f64 (sin.f64 delta) (*.f64 theta 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 delta) (+.f64 theta theta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 theta theta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 phi1 (+.f64 delta (*.f64 (PI.f64) -1/2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 theta (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 theta (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 theta (cos.f64 phi1)) 2) (/.f64 (*.f64 theta (cos.f64 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 theta (cos.f64 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 theta (cos.f64 phi1)) 2) (/.f64 (neg.f64 (*.f64 theta (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 theta (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (+.f64 theta theta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 theta 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 2 (*.f64 theta 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) 4) (*.f64 theta 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 theta theta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 theta (cos.f64 phi1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)))))

simplify456.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-63`
1248×	`rational_best-simplify-51`
1188×	`rational_best-simplify-1`
990×	`rational_best-simplify-55`
894×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	3723
1	423	3723
2	1114	3659
3	3129	3595

Stop Event

1×	node limit

Counts

119 → 97

Calls

Call 1

Inputs
(.f64 (cos.f64 phi1) (.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (.f64 (cos.f64 phi1) (*.f64 theta delta)))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5))))))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (+.f64 (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5)))) (.f64 -1/5040 (.f64 theta (*.f64 (cos.f64 phi1) (pow.f64 delta 7)))))))
(*.f64 (sin.f64 delta) theta)
(+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) theta))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (*.f64 (sin.f64 delta) theta)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) theta))))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
theta
(+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) theta)) (+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) theta)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) theta)) (+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta)))))
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 0)
(+.f64 0 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2) (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2))
(-.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 0)
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))) 2))
(/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 1)
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (+.f64 theta theta))) 2)
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (*.f64 theta 4))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (.f64 2 (.f64 theta 4)))) 8)
(/.f64 (.f64 (.f64 (sin.f64 delta) 4) (.f64 (cos.f64 phi1) (.f64 theta 4))) 16)
(/.f64 (.f64 (.f64 theta 4) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) 4))) 16)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (.f64 (sin.f64 delta) (.f64 theta 4))) 16)
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 theta theta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (+.f64 theta theta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 phi1 (+.f64 delta (*.f64 (PI.f64) -1/2)))))) 4)
(pow.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 1)
(+.f64 (*.f64 theta (cos.f64 phi1)) 0)
(+.f64 0 (*.f64 theta (cos.f64 phi1)))
(+.f64 (/.f64 (.f64 theta (cos.f64 phi1)) 2) (/.f64 (.f64 theta (cos.f64 phi1)) 2))
(-.f64 (*.f64 theta (cos.f64 phi1)) 0)
(-.f64 (/.f64 (.f64 theta (cos.f64 phi1)) 2) (/.f64 (neg.f64 (.f64 theta (cos.f64 phi1))) 2))
(/.f64 (*.f64 theta (cos.f64 phi1)) 1)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 theta theta)) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 theta 4)) 4)
(/.f64 (.f64 (cos.f64 phi1) (.f64 2 (*.f64 theta 4))) 8)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (*.f64 theta 4)) 16)
(/.f64 (*.f64 (+.f64 theta theta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(pow.f64 (*.f64 theta (cos.f64 phi1)) 1)
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) 2))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)
(.f64 1/4 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 1/4)
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 2)
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4)) 8)
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)

Outputs
(.f64 (cos.f64 phi1) (.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (.f64 (cos.f64 phi1) (*.f64 theta delta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 -1/6 (.f64 theta (*.f64 (cos.f64 phi1) (pow.f64 delta 3)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 theta (.f64 (*.f64 (cos.f64 phi1) (pow.f64 delta 3)) -1/6)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (*.f64 theta -1/6))))
(.f64 (.f64 (cos.f64 phi1) theta) (+.f64 delta (*.f64 -1/6 (pow.f64 delta 3))))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (+.f64 (.f64 theta (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 5)) 1/120)) (.f64 theta (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 3)) -1/6))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (.f64 theta -1/6))) (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5))))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) theta) (+.f64 delta (.f64 -1/6 (pow.f64 delta 3)))) (.f64 1/120 (.f64 (pow.f64 delta 5) (.f64 (cos.f64 phi1) theta))))
(+.f64 (.f64 -1/6 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 3)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (+.f64 (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5)))) (.f64 -1/5040 (.f64 theta (*.f64 (cos.f64 phi1) (pow.f64 delta 7)))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (+.f64 (+.f64 (.f64 theta (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 5)) 1/120)) (.f64 theta (.f64 (.f64 (cos.f64 phi1) (pow.f64 delta 7)) -1/5040))) (.f64 theta (.f64 (*.f64 (cos.f64 phi1) (pow.f64 delta 3)) -1/6))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (.f64 theta -1/6))) (+.f64 (.f64 1/120 (.f64 theta (.f64 (cos.f64 phi1) (pow.f64 delta 5)))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 7) (*.f64 theta -1/5040))))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) theta) (+.f64 delta (.f64 -1/6 (pow.f64 delta 3)))) (.f64 (.f64 (cos.f64 phi1) theta) (+.f64 (.f64 1/120 (pow.f64 delta 5)) (*.f64 -1/5040 (pow.f64 delta 7)))))
(*.f64 (sin.f64 delta) theta)
(*.f64 theta (sin.f64 delta))
(+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) theta))))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/2 (.f64 (.f64 theta (sin.f64 delta)) (pow.f64 phi1 2))))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 theta (pow.f64 phi1 2)))))
(.f64 (.f64 theta (sin.f64 delta)) (-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) -1))
(.f64 (.f64 theta (sin.f64 delta)) (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (*.f64 (sin.f64 delta) theta)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 theta (sin.f64 delta)) (pow.f64 phi1 2))) (+.f64 (.f64 theta (sin.f64 delta)) (.f64 1/24 (.f64 theta (*.f64 (sin.f64 delta) (pow.f64 phi1 4))))))
(+.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 theta (pow.f64 phi1 2)))) (.f64 1/24 (.f64 theta (*.f64 (sin.f64 delta) (pow.f64 phi1 4))))))
(+.f64 (.f64 theta (sin.f64 delta)) (.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) theta))) (+.f64 (.f64 (sin.f64 delta) theta) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) theta))))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/2 (.f64 (.f64 theta (sin.f64 delta)) (pow.f64 phi1 2)))) (+.f64 (.f64 1/24 (.f64 theta (.f64 (sin.f64 delta) (pow.f64 phi1 4)))) (.f64 (.f64 theta (sin.f64 delta)) (.f64 (pow.f64 phi1 6) -1/720))))
(+.f64 (+.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/2 (.f64 (sin.f64 delta) (.f64 theta (pow.f64 phi1 2))))) (+.f64 (.f64 1/24 (.f64 theta (.f64 (sin.f64 delta) (pow.f64 phi1 4)))) (.f64 (.f64 theta (sin.f64 delta)) (.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 (.f64 (.f64 theta (sin.f64 delta)) (-.f64 (.f64 -1/2 (pow.f64 phi1 2)) -1)) (.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 (.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) 1)) (.f64 (.f64 theta (sin.f64 delta)) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (*.f64 1/24 (pow.f64 phi1 4)))))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
theta
(+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta)))
(+.f64 theta (.f64 -1/2 (.f64 theta (pow.f64 phi1 2))))
(+.f64 theta (.f64 (pow.f64 phi1 2) (.f64 theta -1/2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) theta)) (+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta))))
(+.f64 (.f64 -1/2 (.f64 theta (pow.f64 phi1 2))) (+.f64 theta (.f64 1/24 (.f64 theta (pow.f64 phi1 4)))))
(+.f64 theta (.f64 theta (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) theta)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) theta)) (+.f64 theta (.f64 -1/2 (.f64 (pow.f64 phi1 2) theta)))))
(+.f64 (+.f64 theta (.f64 -1/2 (.f64 theta (pow.f64 phi1 2)))) (+.f64 (.f64 -1/720 (.f64 theta (pow.f64 phi1 6))) (.f64 1/24 (.f64 theta (pow.f64 phi1 4)))))
(+.f64 (+.f64 theta (.f64 -1/2 (.f64 theta (pow.f64 phi1 2)))) (+.f64 (.f64 1/24 (.f64 theta (pow.f64 phi1 4))) (.f64 -1/720 (.f64 theta (pow.f64 phi1 6)))))
(+.f64 (+.f64 theta (.f64 (pow.f64 phi1 2) (.f64 theta -1/2))) (.f64 theta (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 theta (+.f64 (.f64 theta (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (.f64 -1/2 (pow.f64 phi1 2)))) (.f64 theta (*.f64 1/24 (pow.f64 phi1 4)))))
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(*.f64 (cos.f64 phi1) theta)
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (+.f64 (.f64 -1 delta) (.f64 1/2 (PI.f64)))))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) delta)))
(+.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 0)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(+.f64 0 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(+.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2) (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(-.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 0)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(-.f64 (/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))) 2))
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 1)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (+.f64 theta theta))) 2)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (*.f64 theta 4))) 4)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (.f64 2 (.f64 theta 4)))) 8)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (.f64 (sin.f64 delta) 4) (.f64 (cos.f64 phi1) (.f64 theta 4))) 16)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (.f64 theta 4) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) 4))) 16)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (.f64 (sin.f64 delta) (.f64 theta 4))) 16)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(/.f64 (.f64 (.f64 (sin.f64 delta) (+.f64 theta theta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (+.f64 theta theta) (.f64 (sin.f64 delta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))))) 4)
(/.f64 (.f64 (sin.f64 delta) (.f64 (+.f64 theta theta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))))) 4)
(/.f64 (.f64 (+.f64 theta theta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) delta))) (cos.f64 (+.f64 phi1 (+.f64 delta (*.f64 (PI.f64) -1/2)))))) 4)
(/.f64 (.f64 (+.f64 theta theta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 phi1 (+.f64 delta (*.f64 -1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 theta theta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 1/2 (PI.f64)) delta))) (cos.f64 (+.f64 (*.f64 -1/2 (PI.f64)) (+.f64 phi1 delta))))) 4)
(pow.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) 1)
(.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta)))
(+.f64 (*.f64 theta (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) theta)
(+.f64 0 (*.f64 theta (cos.f64 phi1)))
(*.f64 (cos.f64 phi1) theta)
(+.f64 (/.f64 (.f64 theta (cos.f64 phi1)) 2) (/.f64 (.f64 theta (cos.f64 phi1)) 2))
(*.f64 (cos.f64 phi1) theta)
(-.f64 (*.f64 theta (cos.f64 phi1)) 0)
(*.f64 (cos.f64 phi1) theta)
(-.f64 (/.f64 (.f64 theta (cos.f64 phi1)) 2) (/.f64 (neg.f64 (.f64 theta (cos.f64 phi1))) 2))
(*.f64 (cos.f64 phi1) theta)
(/.f64 (*.f64 theta (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) theta)
(/.f64 (*.f64 (cos.f64 phi1) (+.f64 theta theta)) 2)
(*.f64 (cos.f64 phi1) theta)
(/.f64 (.f64 (cos.f64 phi1) (.f64 theta 4)) 4)
(*.f64 (cos.f64 phi1) theta)
(/.f64 (.f64 (cos.f64 phi1) (.f64 2 (*.f64 theta 4))) 8)
(*.f64 (cos.f64 phi1) theta)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (*.f64 theta 4)) 16)
(*.f64 (cos.f64 phi1) theta)
(/.f64 (*.f64 (+.f64 theta theta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(pow.f64 (*.f64 theta (cos.f64 phi1)) 1)
(*.f64 (cos.f64 phi1) theta)
(+.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(+.f64 0 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(+.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(-.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 0)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(-.f64 (/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) (/.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) 2))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 1/2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 1 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 1/2)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 1/4 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4))
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 1/4)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(/.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 2) 2)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(/.f64 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4) 4)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(/.f64 (.f64 2 (.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 4)) 8)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))
(pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)) 1)
(atan2.f64 (.f64 (cos.f64 phi1) (.f64 theta (sin.f64 delta))) (cos.f64 delta))

localize357.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 delta (sin.f64 theta))
✓	0.1b	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
	0.2b	(pow.f64 (sin.f64 phi1) 2)
	0.6b	(+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))

Compiler

Compiled 143 to 88 computations (38.5% saved)

series7.0ms (0%)

Counts

2 → 32

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	theta	@	-inf	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
1.0ms	phi1	@	-inf	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
1.0ms	phi1	@	inf	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
1.0ms	phi1	@	0	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
1.0ms	delta	@	inf	(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))

rewrite204.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational_best-simplify-63`
960×	`rational_best-4`
960×	`rational_best-2`
960×	`rational_best-3`
960×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	72	32
2	177	32
3	524	32
4	2139	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
(*.f64 delta (sin.f64 theta))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 2) (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 4) (+.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 4) (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 2) (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (+.f64 delta delta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (*.f64 delta 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (*.f64 2 (*.f64 delta 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 phi1) 4) (*.f64 (sin.f64 theta) (*.f64 delta 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) theta) phi1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 delta delta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) theta) phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 theta) 4) (*.f64 (cos.f64 phi1) (*.f64 delta 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 delta 4) (*.f64 (sin.f64 theta) (*.f64 (cos.f64 phi1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (*.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) theta) phi1)))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 delta (sin.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 delta (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 delta (sin.f64 theta)) 2) (/.f64 (*.f64 delta (sin.f64 theta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 delta (sin.f64 theta)) 4) (+.f64 (/.f64 (*.f64 delta (sin.f64 theta)) 4) (/.f64 (*.f64 delta (sin.f64 theta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 delta (sin.f64 theta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 delta (sin.f64 theta)) 2) (/.f64 (*.f64 delta (sin.f64 theta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 delta (sin.f64 theta)) 2) (+.f64 (/.f64 (*.f64 delta (sin.f64 theta)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 delta (sin.f64 theta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (*.f64 delta 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 theta) (*.f64 2 (*.f64 delta 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 delta (sin.f64 theta)) 1)))))

simplify286.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational_best-simplify-63`
1036×	`rational_best-simplify-1`
1028×	`rational_best-simplify-48`
986×	`rational_best-simplify-67`
862×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1810
1	395	1810
2	998	1690
3	2738	1670

Stop Event

1×	node limit

Counts

66 → 90

Calls

Call 1

Inputs
(*.f64 (sin.f64 theta) delta)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (.f64 (sin.f64 theta) delta))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 theta) delta))) (.f64 (sin.f64 theta) delta))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (.f64 (cos.f64 phi1) (*.f64 theta delta)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (.f64 (cos.f64 phi1) (.f64 theta delta))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 -1/5040 (.f64 (pow.f64 theta 7) (*.f64 (cos.f64 phi1) delta))))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (*.f64 theta delta))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (*.f64 theta delta)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 theta 7) delta)) (*.f64 theta delta))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 0)
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))))
(+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2))
(+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 4) (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 4) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2)))
(-.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 0)
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) -2))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) -2) 0))
(/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (+.f64 delta delta))) 2)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (*.f64 delta 4))) 4)
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (.f64 2 (.f64 delta 4)))) 8)
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (.f64 (sin.f64 theta) (.f64 delta 4))) 16)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 8)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) theta) phi1)))) 8)
(/.f64 (.f64 (+.f64 delta delta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) theta) phi1)))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) (+.f64 delta delta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) 4) (.f64 (cos.f64 phi1) (.f64 delta 4))) 16)
(/.f64 (.f64 (.f64 delta 4) (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) 4))) 16)
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 2) 4)
(/.f64 (/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) theta) phi1)))) 2) 4)
(pow.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1)
(+.f64 (*.f64 delta (sin.f64 theta)) 0)
(+.f64 0 (*.f64 delta (sin.f64 theta)))
(+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (/.f64 (.f64 delta (sin.f64 theta)) 2))
(+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 4) (+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 4) (/.f64 (*.f64 delta (sin.f64 theta)) 2)))
(-.f64 (*.f64 delta (sin.f64 theta)) 0)
(-.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (/.f64 (.f64 delta (sin.f64 theta)) -2))
(-.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (+.f64 (/.f64 (.f64 delta (sin.f64 theta)) -2) 0))
(/.f64 (*.f64 delta (sin.f64 theta)) 1)
(/.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)
(/.f64 (.f64 (sin.f64 theta) (.f64 delta 4)) 4)
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (*.f64 delta 4))) 8)
(/.f64 (.f64 (.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)
(pow.f64 (*.f64 delta (sin.f64 theta)) 1)

Outputs
(*.f64 (sin.f64 theta) delta)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (.f64 (sin.f64 theta) delta))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (.f64 (pow.f64 phi1 2) -1/2)) (.f64 (sin.f64 theta) delta))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (.f64 -1/2 (pow.f64 phi1 2))) (.f64 (sin.f64 theta) delta))
(.f64 (.f64 (sin.f64 theta) delta) (-.f64 (*.f64 -1/2 (pow.f64 phi1 2)) -1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (.f64 (pow.f64 phi1 2) -1/2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 1/24 (.f64 (sin.f64 theta) (.f64 delta (pow.f64 phi1 4)))) (*.f64 (sin.f64 theta) delta)))
(+.f64 (.f64 (sin.f64 theta) delta) (.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 theta) delta))) (.f64 (sin.f64 theta) delta))))
(+.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 theta) delta))) (.f64 (sin.f64 theta) delta)) (+.f64 (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 theta) delta))) (.f64 (.f64 (sin.f64 theta) delta) (.f64 (pow.f64 phi1 2) -1/2))))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 1/24 (.f64 (sin.f64 theta) (.f64 delta (pow.f64 phi1 4)))) (+.f64 (.f64 (.f64 (sin.f64 theta) (pow.f64 phi1 6)) (.f64 delta -1/720)) (.f64 (sin.f64 theta) delta))))
(+.f64 (+.f64 (.f64 delta (.f64 (.f64 (sin.f64 theta) (pow.f64 phi1 6)) -1/720)) (.f64 (sin.f64 theta) delta)) (.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 (.f64 (sin.f64 theta) delta) (-.f64 (.f64 -1/720 (pow.f64 phi1 6)) -1)) (.f64 (.f64 (sin.f64 theta) delta) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 theta delta))
(.f64 delta (.f64 theta (cos.f64 phi1)))
(.f64 theta (.f64 delta (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (.f64 (cos.f64 phi1) (*.f64 theta delta)))
(+.f64 (.f64 delta (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (*.f64 delta (cos.f64 phi1)))))
(+.f64 (.f64 theta (.f64 delta (cos.f64 phi1))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 delta (pow.f64 theta 3)))))
(.f64 (.f64 delta (cos.f64 phi1)) (+.f64 theta (*.f64 -1/6 (pow.f64 theta 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (.f64 (cos.f64 phi1) (.f64 theta delta))))
(+.f64 (+.f64 (.f64 delta (.f64 theta (cos.f64 phi1))) (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 delta (cos.f64 phi1))))) (.f64 (.f64 delta (cos.f64 phi1)) (.f64 (pow.f64 theta 5) 1/120)))
(+.f64 (.f64 theta (.f64 delta (cos.f64 phi1))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 delta (pow.f64 theta 3)))) (.f64 1/120 (.f64 (.f64 delta (cos.f64 phi1)) (pow.f64 theta 5)))))
(+.f64 (.f64 theta (.f64 delta (cos.f64 phi1))) (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 (.f64 1/120 (pow.f64 theta 5)) (.f64 -1/6 (pow.f64 theta 3)))))
(+.f64 (.f64 theta (.f64 delta (cos.f64 phi1))) (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 (.f64 -1/6 (pow.f64 theta 3)) (.f64 1/120 (pow.f64 theta 5)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 (cos.f64 phi1) delta))) (+.f64 (.f64 (cos.f64 phi1) (.f64 theta delta)) (.f64 -1/5040 (.f64 (pow.f64 theta 7) (*.f64 (cos.f64 phi1) delta))))))
(+.f64 (.f64 (.f64 delta (cos.f64 phi1)) (.f64 (pow.f64 theta 5) 1/120)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) (.f64 delta (cos.f64 phi1)))) (+.f64 (.f64 delta (.f64 theta (cos.f64 phi1))) (.f64 (.f64 delta (cos.f64 phi1)) (*.f64 (pow.f64 theta 7) -1/5040)))))
(+.f64 (+.f64 (.f64 theta (.f64 delta (cos.f64 phi1))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 delta (pow.f64 theta 3))))) (+.f64 (.f64 (.f64 delta (cos.f64 phi1)) (.f64 -1/5040 (pow.f64 theta 7))) (.f64 1/120 (.f64 (*.f64 delta (cos.f64 phi1)) (pow.f64 theta 5)))))
(+.f64 (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 (.f64 -1/5040 (pow.f64 theta 7)) (*.f64 1/120 (pow.f64 theta 5)))))
(+.f64 (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 (.f64 delta (cos.f64 phi1)) (+.f64 (.f64 1/120 (pow.f64 theta 5)) (*.f64 -1/5040 (pow.f64 theta 7)))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) delta))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 (sin.f64 theta) delta)
(*.f64 theta delta)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (*.f64 theta delta))
(+.f64 (.f64 theta delta) (.f64 -1/6 (*.f64 delta (pow.f64 theta 3))))
(+.f64 (.f64 theta delta) (.f64 delta (*.f64 -1/6 (pow.f64 theta 3))))
(.f64 delta (+.f64 theta (.f64 -1/6 (pow.f64 theta 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (*.f64 theta delta)))
(+.f64 (.f64 theta delta) (+.f64 (.f64 delta (.f64 (pow.f64 theta 5) 1/120)) (.f64 -1/6 (*.f64 delta (pow.f64 theta 3)))))
(+.f64 (.f64 delta (.f64 -1/6 (pow.f64 theta 3))) (+.f64 (.f64 theta delta) (.f64 delta (*.f64 1/120 (pow.f64 theta 5)))))
(+.f64 (.f64 delta (.f64 -1/6 (pow.f64 theta 3))) (.f64 delta (+.f64 (.f64 1/120 (pow.f64 theta 5)) theta)))
(+.f64 (.f64 theta delta) (.f64 delta (+.f64 (.f64 -1/6 (pow.f64 theta 3)) (.f64 1/120 (pow.f64 theta 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 theta 3) delta)) (+.f64 (.f64 1/120 (.f64 (pow.f64 theta 5) delta)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 theta 7) delta)) (*.f64 theta delta))))
(+.f64 (.f64 -1/6 (.f64 delta (pow.f64 theta 3))) (+.f64 (.f64 theta delta) (+.f64 (.f64 delta (.f64 (pow.f64 theta 7) -1/5040)) (.f64 delta (*.f64 (pow.f64 theta 5) 1/120)))))
(+.f64 (.f64 delta (.f64 -1/6 (pow.f64 theta 3))) (+.f64 (.f64 theta delta) (+.f64 (.f64 delta (.f64 1/120 (pow.f64 theta 5))) (.f64 delta (*.f64 -1/5040 (pow.f64 theta 7))))))
(+.f64 (.f64 delta (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 delta (+.f64 (.f64 -1/5040 (pow.f64 theta 7)) (*.f64 1/120 (pow.f64 theta 5)))))
(+.f64 (.f64 delta (+.f64 theta (.f64 -1/6 (pow.f64 theta 3)))) (.f64 delta (+.f64 (.f64 1/120 (pow.f64 theta 5)) (*.f64 -1/5040 (pow.f64 theta 7)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 0)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(+.f64 0 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 4) (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 4) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2)))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(-.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 0)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) -2))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 2) (+.f64 (/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) -2) 0))
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (+.f64 delta delta))) 2)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (*.f64 delta 4))) 4)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (.f64 2 (.f64 delta 4)))) 8)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (.f64 (cos.f64 phi1) 4) (.f64 (sin.f64 theta) (.f64 delta 4))) 16)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 8)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 8)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 16)
(/.f64 (.f64 4 (.f64 (*.f64 (sin.f64 theta) delta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))))) 8)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) theta) phi1)))) 8)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 theta))))) 8)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1))))) 8)
(/.f64 (.f64 delta (.f64 4 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1)))))) 8)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1)))) (.f64 delta 16)) 32)
(/.f64 (.f64 (+.f64 delta delta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) theta) phi1)))) 4)
(/.f64 (.f64 (+.f64 delta delta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 phi1 theta))))) 4)
(/.f64 (.f64 (+.f64 delta delta) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 theta phi1))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) (+.f64 delta delta)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 8)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 8)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 16)
(/.f64 (.f64 4 (.f64 (*.f64 (sin.f64 theta) delta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))))) 8)
(/.f64 (.f64 (.f64 (sin.f64 theta) 4) (.f64 (cos.f64 phi1) (.f64 delta 4))) 16)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (.f64 (.f64 delta 4) (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) 4))) 16)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 2) 4)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 4)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 8)
(/.f64 (.f64 (.f64 (sin.f64 theta) (*.f64 delta 8)) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1)))) 16)
(/.f64 (.f64 4 (.f64 (*.f64 (sin.f64 theta) delta) (+.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi1))))) 8)
(/.f64 (/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) theta) phi1)))) 2) 4)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 phi1 theta))))) 8)
(/.f64 (.f64 (.f64 delta 4) (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1))))) 8)
(/.f64 (.f64 delta (.f64 4 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1)))))) 8)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 phi1 (-.f64 (.f64 (PI.f64) 1/2) theta))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 theta phi1)))) (.f64 delta 16)) 32)
(pow.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1)
(.f64 (sin.f64 theta) (.f64 delta (cos.f64 phi1)))
(+.f64 (*.f64 delta (sin.f64 theta)) 0)
(*.f64 (sin.f64 theta) delta)
(+.f64 0 (*.f64 delta (sin.f64 theta)))
(*.f64 (sin.f64 theta) delta)
(+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (/.f64 (.f64 delta (sin.f64 theta)) 2))
(*.f64 (sin.f64 theta) delta)
(+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 4) (+.f64 (/.f64 (.f64 delta (sin.f64 theta)) 4) (/.f64 (*.f64 delta (sin.f64 theta)) 2)))
(*.f64 (sin.f64 theta) delta)
(-.f64 (*.f64 delta (sin.f64 theta)) 0)
(*.f64 (sin.f64 theta) delta)
(-.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (/.f64 (.f64 delta (sin.f64 theta)) -2))
(*.f64 (sin.f64 theta) delta)
(-.f64 (/.f64 (.f64 delta (sin.f64 theta)) 2) (+.f64 (/.f64 (.f64 delta (sin.f64 theta)) -2) 0))
(*.f64 (sin.f64 theta) delta)
(/.f64 (*.f64 delta (sin.f64 theta)) 1)
(*.f64 (sin.f64 theta) delta)
(/.f64 (*.f64 (sin.f64 theta) (+.f64 delta delta)) 2)
(*.f64 (sin.f64 theta) delta)
(/.f64 (.f64 (sin.f64 theta) (.f64 delta 4)) 4)
(*.f64 (sin.f64 theta) delta)
(/.f64 (.f64 (sin.f64 theta) (.f64 2 (*.f64 delta 4))) 8)
(*.f64 (sin.f64 theta) delta)
(/.f64 (.f64 (.f64 delta 4) (*.f64 (sin.f64 theta) 4)) 16)
(*.f64 (sin.f64 theta) delta)
(pow.f64 (*.f64 delta (sin.f64 theta)) 1)
(*.f64 (sin.f64 theta) delta)

eval1.7s (1.8%)

Compiler: Compiled 31602 to 14024 computations (55.6% saved)

prune2.4s (2.5%)

Pruning

49 alts after pruning (37 fresh and 12 done)

	Pruned	Kept	Total
New	1011	16	1027
Fresh	9	21	30
Picked	1	0	1
Done	0	12	12
Total	1021	49	1070

Error

0.0b

Counts

1070 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	57.7b	(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
	14.0b	(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
	6.8b	(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
	12.0b	(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
	21.6b	(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
	20.7b	(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	20.7b	(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
	3.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	3.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
	21.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)) (-.f64 -1 (/.f64 (cos.f64 delta) 2)))))
	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 3 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
	4.3b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
✓	2.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
	3.2b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
✓	9.7b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
	9.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
✓	10.0b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
✓	5.4b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
	11.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
✓	6.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
✓	13.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	20.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
	13.5b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
	11.5b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
✓	15.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
	12.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
	6.6b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
✓	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	11.8b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
	16.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	14.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
	17.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
✓	14.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
	16.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
	11.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
	20.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
	13.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
	17.1b	(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
	15.5b	lambda1

Compiler

Compiled 1160 to 832 computations (28.3% saved)

regimes1.1s (1.2%)

Counts

66 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 3 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (cos.f64 delta) 2) (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))))) 1)) (-.f64 -1 (/.f64 (cos.f64 delta) 2)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))

Calls

7 calls:

233.0ms	lambda1
209.0ms	phi1
138.0ms	theta
125.0ms	delta
122.0ms	phi2

Results

Error	Segments	Branch
0.1b	1	`lambda1`
0.1b	1	`phi1`
0.1b	1	`phi2`
0.1b	1	`delta`
0.1b	1	`theta`
0.1b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
0.1b	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`

Compiler

Compiled 1381 to 551 computations (60.1% saved)

regimes660.0ms (0.7%)

Counts

62 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 3 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))

Calls

5 calls:

121.0ms	phi2
116.0ms	lambda1
113.0ms	theta
110.0ms	phi1
109.0ms	delta

Results

Error	Segments	Branch
0.1b	1	`lambda1`
0.1b	1	`phi1`
0.1b	1	`phi2`
0.1b	1	`delta`
0.1b	1	`theta`

Compiler

Compiled 1164 to 467 computations (59.9% saved)

regimes1.0s (1.1%)

Counts

60 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (sin.f64 delta) (cos.f64 theta))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)) (+.f64 3 (-.f64 -1/2 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 3/2 (.f64 -1/2 (pow.f64 (sin.f64 phi1) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))

Calls

5 calls:

310.0ms	phi2
262.0ms	theta
130.0ms	phi1
114.0ms	delta
89.0ms	lambda1

Results

Error	Segments	Branch
2.5b	1	`lambda1`
2.5b	1	`phi1`
2.5b	1	`phi2`
2.5b	1	`delta`
2.5b	1	`theta`

Compiler

Compiled 1102 to 458 computations (58.4% saved)

regimes619.0ms (0.7%)

Counts

56 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (cos.f64 delta) (pow.f64 phi1 2)) (.f64 (sin.f64 delta) (*.f64 phi1 (cos.f64 theta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4) (-.f64 1/2 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2))) (-.f64 -3/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) -4)))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))

Calls

5 calls:

116.0ms	lambda1
113.0ms	phi2
106.0ms	delta
90.0ms	phi1
79.0ms	theta

Results

Error	Segments	Branch
3.2b	1	`lambda1`
3.2b	1	`phi1`
3.2b	1	`phi2`
3.2b	1	`delta`
3.2b	1	`theta`

Compiler

Compiled 976 to 409 computations (58.1% saved)

regimes678.0ms (0.7%)

Counts

52 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 phi1 (cos.f64 theta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) 1/4) -1))))
(+.f64 lambda1 (atan2.f64 (/.f64 (.f64 (+.f64 (sin.f64 theta) (cos.f64 (-.f64 theta (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 delta) 4)) 8) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 3/4 (.f64 (pow.f64 (sin.f64 phi1) 2) -3/4)) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) -1/4) 1/4))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 phi1) 2) -1/2) 3/2) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 phi1) 2) 2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))

Calls

5 calls:

152.0ms	phi1
126.0ms	theta
103.0ms	delta
99.0ms	lambda1
97.0ms	phi2

Results

Error	Segments	Branch
3.8b	1	`lambda1`
3.8b	1	`phi1`
3.8b	1	`phi2`
3.8b	1	`delta`
3.8b	1	`theta`

Compiler

Compiled 862 to 375 computations (56.5% saved)

regimes615.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))

Calls

5 calls:

173.0ms	phi2
103.0ms	phi1
102.0ms	lambda1
101.0ms	delta
92.0ms	theta

Results

Error	Segments	Branch
3.9b	1	`lambda1`
3.9b	1	`phi1`
3.9b	1	`phi2`
3.9b	1	`delta`
3.9b	1	`theta`

Compiler

Compiled 612 to 265 computations (56.7% saved)

regimes689.0ms (0.7%)

Counts

41 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (/.f64 (+.f64 (sin.f64 (+.f64 phi1 delta)) (cos.f64 (-.f64 (+.f64 phi1 (.f64 (PI.f64) 1/2)) delta))) 2)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 2)) (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta)))) 4) (cos.f64 delta)))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))

Calls

5 calls:

255.0ms	delta
142.0ms	phi1
95.0ms	theta
69.0ms	phi2
68.0ms	lambda1

Results

Error	Segments	Branch
5.4b	1	`lambda1`
5.4b	1	`phi1`
5.4b	1	`phi2`
3.7b	3	`delta`
5.4b	1	`theta`

Compiler

Compiled 594 to 260 computations (56.2% saved)

bsearch576.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
267.0ms	2.681556012960747e-21	2.6858501649064347e-20
309.0ms	-21.04164997584712	-0.2037270427860906

Results

335.0ms	83×	body	1024	valid
151.0ms	96×	body	256	valid
68.0ms	28×	body	512	valid
13.0ms	1×	body	2048	valid

Compiler

Compiled 622 to 476 computations (23.5% saved)

regimes521.0ms (0.6%)

Counts

38 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 theta)) delta)) (cos.f64 (-.f64 delta theta))) 2) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))

Calls

5 calls:

194.0ms	delta
76.0ms	phi1
76.0ms	phi2
73.0ms	theta
70.0ms	lambda1

Results

Error	Segments	Branch
5.4b	1	`lambda1`
5.4b	1	`phi1`
5.4b	1	`phi2`
3.7b	3	`delta`
5.4b	1	`theta`

Compiler

Compiled 530 to 233 computations (56% saved)

bsearch749.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	2.681556012960747e-21	2.6858501649064347e-20
687.0ms	-21.04164997584712	-0.2037270427860906

Results

465.0ms	41×	body	1024	valid
200.0ms	54×	body	256	valid
62.0ms	33×	body	512	valid

Compiler

Compiled 395 to 299 computations (24.3% saved)

regimes1.0s (1.1%)

Counts

35 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2))))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

Calls

5 calls:

433.0ms	delta
81.0ms	lambda1
74.0ms	phi1
68.0ms	phi2
51.0ms	theta

Results

Error	Segments	Branch
5.4b	1	`lambda1`
5.4b	1	`phi1`
5.4b	1	`phi2`
3.7b	3	`delta`
5.4b	1	`theta`

Compiler

Compiled 476 to 212 computations (55.5% saved)

bsearch642.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
235.0ms	2.681556012960747e-21	2.6858501649064347e-20
405.0ms	-21.04164997584712	-0.2037270427860906

Results

469.0ms	88×	body	1024	valid
82.0ms	36×	body	512	valid
82.0ms	84×	body	256	valid

Compiler

Compiled 605 to 459 computations (24.1% saved)

regimes610.0ms (0.7%)

Counts

34 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (-.f64 -1 (pow.f64 (sin.f64 phi1) 2)) 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 phi1 2))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi1) (*.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

Calls

5 calls:

220.0ms	delta
120.0ms	lambda1
108.0ms	phi1
69.0ms	theta
51.0ms	phi2

Results

Error	Segments	Branch
5.4b	1	`lambda1`
5.4b	1	`phi1`
5.4b	1	`phi2`
3.7b	3	`delta`
5.4b	1	`theta`

Compiler

Compiled 458 to 204 computations (55.5% saved)

bsearch524.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
156.0ms	2.681556012960747e-21	2.6858501649064347e-20
368.0ms	-21.04164997584712	-0.2037270427860906

Results

340.0ms	66×	body	1024	valid
114.0ms	95×	body	256	valid
65.0ms	15×	body	512	valid

Compiler

Compiled 497 to 371 computations (25.4% saved)

regimes538.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) delta))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))

Calls

5 calls:

245.0ms	phi1
91.0ms	delta
61.0ms	lambda1
58.0ms	theta
39.0ms	phi2

Results

Error	Segments	Branch
5.4b	1	`lambda1`
5.4b	1	`phi1`
5.4b	1	`phi2`
5.4b	1	`delta`
5.4b	1	`theta`

Compiler

Compiled 394 to 178 computations (54.8% saved)

regimes576.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 1 (neg.f64 (pow.f64 phi1 2)))))
(+.f64 lambda1 (atan2.f64 (/.f64 (-.f64 (cos.f64 (-.f64 delta theta)) (cos.f64 (+.f64 delta theta))) 2) (cos.f64 delta)))
(-.f64 (/.f64 lambda1 2) (-.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (/.f64 lambda1 2)))

Outputs

(-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))

Calls

5 calls:

312.0ms	theta
73.0ms	phi2
60.0ms	phi1
50.0ms	lambda1
49.0ms	delta

Results

Error	Segments	Branch
6.8b	1	`lambda1`
6.8b	1	`phi1`
6.8b	1	`phi2`
6.8b	1	`delta`
5.7b	3	`theta`

Compiler

Compiled 340 to 160 computations (52.9% saved)

bsearch1.1s (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
142.0ms	7.223362256814333e-227	3.399172065995635e-222
936.0ms	-1246242450856947500.0	-11.492406982635261

Results

584.0ms	102×	body	1024	valid
381.0ms	29×	body	512	valid
91.0ms	77×	body	256	valid

Compiler

Compiled 553 to 400 computations (27.7% saved)

regimes475.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))

Calls

5 calls:

141.0ms	phi1
129.0ms	theta
62.0ms	lambda1
54.0ms	delta
54.0ms	phi2

Results

Error	Segments	Branch
6.8b	1	`lambda1`
6.8b	1	`phi1`
6.8b	1	`phi2`
6.8b	1	`delta`
5.7b	3	`theta`

Compiler

Compiled 276 to 134 computations (51.4% saved)

bsearch659.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	7.223362256814333e-227	3.399172065995635e-222
549.0ms	-1246242450856947500.0	-11.492406982635261

Results

448.0ms	94×	body	1024	valid
119.0ms	69×	body	256	valid
71.0ms	29×	body	512	valid

Compiler

Compiled 464 to 340 computations (26.7% saved)

regimes377.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) delta)) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 (sin.f64 phi1) 2))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

Calls

5 calls:

143.0ms	theta
57.0ms	delta
55.0ms	phi2
53.0ms	phi1
47.0ms	lambda1

Results

Error	Segments	Branch
6.8b	1	`lambda1`
6.8b	1	`phi1`
6.8b	1	`phi2`
6.8b	1	`delta`
5.7b	3	`theta`

Compiler

Compiled 261 to 128 computations (51% saved)

bsearch768.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	7.223362256814333e-227	3.399172065995635e-222
705.0ms	-1246242450856947500.0	-11.492406982635261

Results

612.0ms	83×	body	1024	valid
79.0ms	61×	body	256	valid
72.0ms	32×	body	512	valid

Compiler

Compiled 420 to 305 computations (27.4% saved)

regimes223.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))

Calls

5 calls:

65.0ms	theta
56.0ms	phi2
37.0ms	phi1
27.0ms	lambda1
26.0ms	delta

Results

Error	Segments	Branch
6.8b	1	`lambda1`
6.8b	1	`phi1`
6.8b	1	`phi2`
6.8b	1	`delta`
6.8b	1	`theta`

Compiler

Compiled 186 to 95 computations (48.9% saved)

regimes409.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))
(-.f64 (+.f64 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)) (/.f64 lambda1 2)) (/.f64 lambda1 -2))
(+.f64 lambda1 (atan2.f64 (+.f64 (.f64 theta delta) (.f64 theta (*.f64 (pow.f64 delta 3) -1/6))) (cos.f64 delta)))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))

Calls

5 calls:

122.0ms	theta
113.0ms	delta
59.0ms	lambda1
49.0ms	phi1
42.0ms	phi2

Results

Error	Segments	Branch
11.8b	1	`lambda1`
11.8b	1	`phi1`
11.8b	1	`phi2`
9.3b	4	`delta`
9.2b	3	`theta`

Compiler

Compiled 176 to 93 computations (47.2% saved)

bsearch957.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
387.0ms	1.3113905041738424e-101	3.9734156293405006e-101
570.0ms	-2.9230907890972583e+49	-1.062709741052653e+41

Results

721.0ms	86×	body	1024	valid
119.0ms	76×	body	256	valid
90.0ms	45×	body	512	valid
21.0ms	1×	body	2048	valid

Compiler

Compiled 501 to 394 computations (21.4% saved)

regimes539.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (-.f64 1 (pow.f64 phi1 2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (.f64 -1/2 (pow.f64 delta 2)) 1)))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))

Calls

5 calls:

250.0ms	delta
194.0ms	theta
34.0ms	phi1
29.0ms	phi2
26.0ms	lambda1

Results

Error	Segments	Branch
11.8b	1	`lambda1`
11.8b	1	`phi1`
11.8b	1	`phi2`
9.3b	4	`delta`
9.2b	3	`theta`

Compiler

Compiled 131 to 72 computations (45% saved)

bsearch1.1s (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
312.0ms	1.3113905041738424e-101	3.9734156293405006e-101
738.0ms	-2.9230907890972583e+49	-1.062709741052653e+41

Results

784.0ms	103×	body	1024	valid
122.0ms	81×	body	256	valid
90.0ms	40×	body	512	valid

Compiler

Compiled 466 to 352 computations (24.5% saved)

regimes271.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) (cos.f64 delta)))

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))

Calls

5 calls:

89.0ms	delta
78.0ms	theta
77.0ms	phi1
10.0ms	lambda1
10.0ms	phi2

Results

Error	Segments	Branch
12.6b	1	`lambda1`
11.5b	2	`phi1`
12.6b	1	`phi2`
9.5b	3	`delta`
9.5b	3	`theta`

Compiler

Compiled 85 to 48 computations (43.5% saved)

bsearch1.1s (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
557.0ms	1.0040142079502593e+153	1.853746849591201e+156
547.0ms	-6.744865489515688e+47	-1.361846438002599e+26

Results

708.0ms	141×	body	1024	valid
281.0ms	76×	body	512	valid
108.0ms	87×	body	256	valid

Compiler

Compiled 616 to 448 computations (27.3% saved)

regimes293.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))

Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))

Calls

5 calls:

113.0ms	delta
59.0ms	phi1
52.0ms	theta
38.0ms	phi2
27.0ms	lambda1

Results

Error	Segments	Branch
13.5b	1	`lambda1`
12.2b	2	`phi1`
12.5b	2	`phi2`
9.6b	3	`delta`
9.5b	3	`theta`

Compiler

Compiled 76 to 46 computations (39.5% saved)

bsearch724.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
270.0ms	1.3113905041738424e-101	3.9734156293405006e-101
454.0ms	-3.197782452551906e-43	-2.3475975222933817e-46

Results

591.0ms	104×	body	1024	valid
71.0ms	35×	body	512	valid
57.0ms	69×	body	256	valid

Compiler

Compiled 423 to 316 computations (25.3% saved)

regimes120.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta))

Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))

Calls

5 calls:

41.0ms	theta
38.0ms	phi1
21.0ms	delta
9.0ms	lambda1
9.0ms	phi2

Results

Error	Segments	Branch
13.5b	1	`lambda1`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	1	`delta`
12.0b	3	`theta`

Compiler

Compiled 67 to 45 computations (32.8% saved)

bsearch445.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
138.0ms	1.3668387614005298e-126	2.6166588164542797e-126
307.0ms	-3.197782452551906e-43	-2.3475975222933817e-46

Results

325.0ms	93×	body	1024	valid
84.0ms	73×	body	256	valid
31.0ms	26×	body	512	valid

Compiler

Compiled 382 to 294 computations (23% saved)

regimes123.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))

Outputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1))
lambda1

Calls

5 calls:

29.0ms	delta
27.0ms	theta
24.0ms	phi2
19.0ms	lambda1
7.0ms	phi1

Results

Error	Segments	Branch
15.5b	1	`lambda1`
15.5b	1	`phi1`
15.5b	1	`phi2`
14.2b	2	`delta`
14.1b	3	`theta`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch992.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
384.0ms	2.6886574047218158e+88	1.351956181410648e+93
608.0ms	-2.690305794899253e+97	-5.532978124269186e+72

Results

772.0ms	154×	body	1024	valid
172.0ms	74×	body	512	valid
41.0ms	76×	body	256	valid

Compiler

Compiled 445 to 353 computations (20.7% saved)

regimes128.0ms (0.1%)

Accuracy

Total -5.5b remaining (-38.9%)

Threshold costs -5.5b (-38.9%)

Counts

2 → 3

Calls

Call 1

Inputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))

Outputs
lambda1
(+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta)))
lambda1

Calls

5 calls:

57.0ms	theta
33.0ms	phi2
24.0ms	delta
6.0ms	lambda1
6.0ms	phi1

Results

Error	Segments	Branch
15.5b	1	`lambda1`
15.5b	1	`phi1`
15.5b	1	`phi2`
14.4b	2	`delta`
14.2b	3	`theta`

Compiler

Compiled 44 to 34 computations (22.7% saved)

bsearch1.1s (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
737.0ms	2.6886574047218158e+88	1.351956181410648e+93
397.0ms	1.0435038427610823e-240	3.0650088295832028e-235

Results

494.0ms	118×	body	1024	valid
475.0ms	66×	body	512	valid
140.0ms	88×	body	256	valid

Compiler

Compiled 403 to 302 computations (25.1% saved)

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	2203

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2201533868018767/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 6646139978924579/1329227995784915872903807060280344576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2201533868018767/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2076918743413931/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(if (<=.f64 theta -23/2) (-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1)) (if (<=.f64 theta 2604693137843693/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))))
(if (<=.f64 theta -23/2) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (if (<=.f64 theta 4167509020549909/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))))
(if (<=.f64 theta -4278419646001971/281474976710656) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (if (<=.f64 theta 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(if (<=.f64 theta -109999999999999994879165575394636112855040) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 1)) (if (<=.f64 theta 5516280867495227/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))))
(if (<=.f64 theta -109999999999999994879165575394636112855040) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 1)) (if (<=.f64 theta 6146712966637539/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))))
(if (<=.f64 delta -44000000000000002000823399743488) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (if (<=.f64 delta 1019999999999999921578371427941963947889353975382557886308037890684419231647046021004041896803313785580480993656650715127614122870272159410895309068304384) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(if (<=.f64 theta -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) 1)) (if (<=.f64 theta 8826049387992363/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))))
(if (<=.f64 theta -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) 1)) (if (<=.f64 theta 3201011697101359/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) 1)) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))))
(if (<=.f64 theta -12799999999999999779617442886986989663711698523394034886908815387879827725877248) lambda1 (if (<=.f64 theta 54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1)) lambda1))
(if (<=.f64 theta 1073958896942811/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) lambda1 (if (<=.f64 theta 54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056) (+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta))) lambda1))
lambda1

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta))))) (cos.f64 delta))) 1)))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (sin.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (+.f64 phi1 delta))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (pow.f64 (sin.f64 phi1) 2))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2201533868018767/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 6646139978924579/1329227995784915872903807060280344576) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 delta))))))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2201533868018767/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 -1/2 (+.f64 (pow.f64 (sin.f64 phi1) 2) -3/2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))))
(if (<=.f64 delta -7566047373982433/36028797018963968) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta))) (if (<=.f64 delta 2076918743413931/83076749736557242056487941267521536) (+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (-.f64 1 (pow.f64 (sin.f64 phi1) 2)))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (cos.f64 delta)))
(if (<=.f64 theta -23/2) (-.f64 (+.f64 lambda1 lambda1) (+.f64 (neg.f64 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) lambda1)) (if (<=.f64 theta 2604693137843693/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))))
(if (<=.f64 theta -23/2) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (if (<=.f64 theta 4167509020549909/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1)))))
(if (<=.f64 theta -4278419646001971/281474976710656) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta))) (if (<=.f64 theta 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1))) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 delta)))
(if (<=.f64 theta -109999999999999994879165575394636112855040) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 1)) (if (<=.f64 theta 5516280867495227/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (+.f64 (-.f64 -1 (neg.f64 (cos.f64 delta))) 1))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))))
(if (<=.f64 theta -109999999999999994879165575394636112855040) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) 1)) (if (<=.f64 theta 6146712966637539/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) 1))))
(if (<=.f64 delta -44000000000000002000823399743488) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (if (<=.f64 delta 1019999999999999921578371427941963947889353975382557886308037890684419231647046021004041896803313785580480993656650715127614122870272159410895309068304384) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) (cos.f64 delta)))))
(if (<=.f64 theta -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) 1)) (if (<=.f64 theta 8826049387992363/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) (cos.f64 delta))) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))))
(if (<=.f64 theta -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) delta) 1)) (if (<=.f64 theta 3201011697101359/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) theta) 1)) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 theta) delta) 1))))
(if (<=.f64 theta -12799999999999999779617442886986989663711698523394034886908815387879827725877248) lambda1 (if (<=.f64 theta 54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056) (+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) theta) 1)) lambda1))
(if (<=.f64 theta 1073958896942811/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) lambda1 (if (<=.f64 theta 54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056) (+.f64 lambda1 (atan2.f64 (*.f64 theta delta) (cos.f64 delta))) lambda1))
lambda1

Compiler

Compiled 858 to 510 computations (40.6% saved)

soundness787.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational_best-simplify-75`
1596×	`rational_best-simplify-76`
838×	`rational_best-simplify-64`
396×	`rational_best-simplify-65`
388×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	109
1	59	109
2	152	109
3	371	109
4	966	109
5	4663	109

Stop Event

1×	node limit

Compiler

Compiled 203 to 50 computations (75.4% saved)

end1.4s (1.5%)

Compiler: Compiled 748 to 250 computations (66.6% saved)