Details

analyze697.0ms (4.6%)

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
0.8%	0.8%	99%	0.2%	0%	0%	0%	11
1.2%	1.2%	98.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 38 to 22 computations (42.1% saved)

sample5.2s (34.6%)

Results

2.0s	6657×	body	256	valid
1.4s	842×	body	1024	valid
624.0ms	2752×	body	256	infinite
619.0ms	483×	body	1024	infinite
412.0ms	751×	body	512	valid
145.0ms	368×	body	512	infinite
6.0ms	6×	body	2048	valid

Bogosity

preprocess214.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

4176×	`rational.json-simplify-27`
3746×	`rational.json-simplify-31`
2672×	`rational.json-simplify-41`
1652×	`rational.json-simplify-1`
1492×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1067
1	213	1067
2	311	1067
3	497	1067
4	838	1067
5	1592	1067
6	1706	1067
7	1837	1067
8	1966	1067
9	2120	1067
10	2291	1067
11	2790	1067
12	2988	1067
13	3204	1067
14	3414	1067
15	3652	1067
16	3908	1067
17	4158	1067
18	4167	1067
19	4172	1067
20	4172	1067
21	4172	1067
22	4441	1067
23	4732	1067
24	5022	1067
25	5340	1067
26	5676	1067
27	6006	1067
28	6364	1067
29	6384	1067
30	6399	1067
31	6399	1067
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4
3

Call 2

Inputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2)))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2))) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))

Outputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 R lambda2) (.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 R lambda2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 R lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 R lambda2)))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 R lambda2) (-.f64 R lambda2)))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda2 R) (-.f64 lambda2 R)))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 R) (.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 lambda1 R)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 R) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 lambda1 R)))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 R) (.f64 (-.f64 lambda1 R) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2)))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))))) (*.f64 (-.f64 phi2 R) (-.f64 phi2 R)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (cos.f64 (/.f64 (+.f64 R phi2) 2))))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) 2))) (cos.f64 (/.f64 (+.f64 R phi1) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) 2))))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (cos.f64 (/.f64 (+.f64 R phi1) 2))))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (cos.f64 (/.f64 (+.f64 R phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))) (-.f64 phi1 lambda2))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 lambda2) (.f64 (-.f64 phi1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (-.f64 lambda2 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (-.f64 lambda2 phi2))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi1) (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi1) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi1) (.f64 (-.f64 lambda1 phi1) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (-.f64 lambda1 phi1) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2))) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi2) (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2))) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi2) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2))))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi2) (.f64 (-.f64 lambda1 phi2) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2))))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

414×	`rational.json-simplify-31`
294×	`rational.json-simplify-2`
216×	`rational.json-simplify-27`
178×	`rational.json-simplify-41`
108×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

eval1.0ms (0%)

Compiler: Compiled 133 to 57 computations (57.1% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

36.2b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Status

Error

Program

▶

36.2b

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	0.2b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	2.2b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	33.3b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 177 to 69 computations (61% saved)

series29.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	phi2	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	phi2	@	0	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
2.0ms	phi2	@	-inf	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite16.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`rational.json-simplify-31`
212×	`rational.json-simplify-2`
138×	`bool.json-1`
130×	`rational.json-1`
130×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	188
1	94	188
2	183	188
3	279	188
4	361	188
5	504	188
6	597	188

Stop Event

1×

saturated

Counts

4 → 14

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))

simplify348.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2504×	`rational.json-simplify-2`
1916×	`rational.json-simplify-1`
1576×	`rational.json-simplify-27`
1152×	`rational.json-simplify-41`
1090×	`rational.json-simplify-31`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	412	16692
1	974	16636
2	1800	16300
3	3176	16256
4	3870	16256
5	4453	16256
6	5107	16256
7	6047	16256
8	7115	16232
9	7960	16232

Stop Event

1×	node limit

Counts

182 → 285

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 3)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (pow.f64 lambda1 2)))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(*.f64 -1 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 phi1) phi2)))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))))))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
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(.f64 -1 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1) -1)
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)
(+.f64 0 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))
(+.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 0)
(+.f64 0 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))

Outputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 -1 (*.f64 lambda2 lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 -1 (.f64 lambda2 lambda1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) -1))) 2)) (*.f64 1/2 (pow.f64 lambda1 2)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (*.f64 1/2 (pow.f64 lambda1 2))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 3)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 3))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 -1 (.f64 lambda2 lambda1)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) -1))) 2)) (.f64 1/2 (pow.f64 lambda1 2)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) -1))) 2)) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (.f64 1/2 (pow.f64 lambda1 2))))) (.f64 lambda2 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (pow.f64 lambda1 3))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 lambda2 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (pow.f64 lambda1 3)))))) (+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (*.f64 1/2 (pow.f64 lambda1 2)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 lambda2 (.f64 -1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (.f64 -1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) -1))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) -1)) 2)) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)) 2)) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)) (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)) 2))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))))
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(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
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(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)) (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)) 2))) (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
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(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
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(+.f64 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)))) 2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/24 (cos.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/8 (cos.f64 (.f64 1/2 phi2)))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 phi1 2)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 1/2 (.f64 (pow.f64 phi1 3) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/24 (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/8 (sin.f64 (.f64 1/2 phi2)))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) 1/24)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/8)))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) 1/24)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/8)))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi2))))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(-.f64 phi1 phi2)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (+.f64 phi1 (.f64 phi2 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 phi2 -1) 2)) phi1)))
(+.f64 (-.f64 phi1 phi2) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) phi1)))
(+.f64 (-.f64 phi1 phi2) (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (-.f64 (pow.f64 phi2 2) (pow.f64 (neg.f64 phi2) 2))) phi1)))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 (+.f64 phi1 (.f64 phi2 -1)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2)) phi1)) (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2))) (pow.f64 phi1 2)))))
(+.f64 (-.f64 phi1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) phi1)) (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (-.f64 (pow.f64 phi2 2) (pow.f64 (neg.f64 phi2) 2))) phi1)) (+.f64 (-.f64 phi1 phi2) (.f64 1/2 (/.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (-.f64 (pow.f64 phi2 2) (pow.f64 (neg.f64 phi2) 2)))) (pow.f64 phi1 2)))))
(*.f64 -1 phi1)
(*.f64 phi1 -1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(-.f64 phi2 phi1)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2)) phi1)))
(+.f64 (-.f64 phi2 phi1) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2)) phi1)))
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(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (.f64 1/2 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 phi2 2)))))) (.f64 1/2 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (.f64 1/2 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)))) 2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 phi2 3)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (+.f64 (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))))) (.f64 1/2 (.f64 (pow.f64 phi2 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) 2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) 2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (.f64 (-.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))))))))) (+.f64 (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))))) (.f64 1/2 (.f64 (pow.f64 phi2 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (-.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(-.f64 phi2 phi1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 phi1 -1) 2)) phi2)))
(+.f64 phi2 (+.f64 (.f64 phi1 -1) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 phi1 -1) 2)) phi2))))
(+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) phi2)))
(+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2))) phi2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi1 -1) 2)) phi2)) (+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi1 -1) 2))) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) phi2)) (+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)))))
(+.f64 (-.f64 phi2 phi1) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2))) phi2)) (.f64 1/2 (/.f64 (.f64 phi1 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2)))) (pow.f64 phi2 2)))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(-.f64 phi1 phi2)
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 (+.f64 phi1 (.f64 phi2 -1)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) 2)) phi2)))
(+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) 2)) phi2)))
(+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2)) phi2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
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(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 -1 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 -1 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))
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(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda1 lambda2))))) (+.f64 (+.f64 (.f64 (pow.f64 phi2 3) (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (-.f64 lambda1 lambda2))) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 phi2 2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi1))) (neg.f64 phi2))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3))))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (neg.f64 phi2)))) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))))))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))))))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 2))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 2))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi1 2) -1/8))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 3)))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 3)))))))
(+.f64 (.f64 phi1 (.f64 -1/2 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) (+.f64 1 (.f64 (pow.f64 phi1 2) -1/8))) (.f64 (-.f64 lambda1 lambda2) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) 1/48)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))))))
(+.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/8)))) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 phi1)) -1/8)))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/8))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))))))
(+.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))))) (.f64 (pow.f64 phi2 3) (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/8)))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 3))))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 phi1)) -1/8)))) (.f64 (-.f64 lambda1 lambda2) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) 1/48)))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) 1/48))) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/8)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(+.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 0)
(+.f64 0 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(+.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 0)
(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 1)
(*.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(*.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(.f64 -1 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1))
(*.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) -1) -1)
(*.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)
(+.f64 0 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) 0)
(+.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 0)
(+.f64 0 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(+.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 0)

eval322.0ms (2.1%)

Compiler: Compiled 21979 to 13867 computations (36.9% saved)

prune75.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	309	12	321
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	12	322

Error

1.9b

Counts

322 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(*.f64 R (-.f64 phi2 phi1))
	56.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
▶	36.8b	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
	59.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
▶	47.8b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
	58.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
▶	50.7b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	43.7b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
	37.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	45.5b	(*.f64 R (neg.f64 phi1))
▶	48.8b	(*.f64 R phi2)

Compiler

Compiled 456 to 316 computations (30.7% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 R (-.f64 phi2 phi1))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	R	@	0	(*.f64 R (-.f64 phi2 phi1))
0.0ms	R	@	inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi2	@	inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi2	@	-inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi1	@	inf	(*.f64 R (-.f64 phi2 phi1))

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

66×	`rational.json-simplify-2`
54×	`bool.json-1`
48×	`rational.json-1`
48×	`rational.json-2`
36×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	85	13
3	129	13
4	154	13
5	175	13
6	190	13
7	200	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 R (-.f64 phi2 phi1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 phi2 phi1) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 phi2 phi1) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 phi2 phi1) R) (.f64 (-.f64 phi2 phi1) R))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 phi2 phi1) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 phi2 phi1) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 phi2 phi1) R) (*.f64 (-.f64 phi2 phi1) R))))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

110×	`rational.json-simplify-31`
108×	`rational.json-simplify-2`
38×	`rational.json-simplify-27`
30×	`rational.json-simplify-9`
30×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	548
1	27	548
2	37	506
3	49	506
4	69	506
5	93	506
6	129	506
7	165	506
8	189	506
9	206	506
10	212	506

Stop Event

1×

saturated

Counts

26 → 9

Calls

Call 1

Inputs
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (*.f64 (-.f64 phi2 phi1) R) 0)
(+.f64 0 (*.f64 (-.f64 phi2 phi1) R))

Outputs
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (*.f64 (-.f64 phi2 phi1) R) 0)
(+.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(+.f64 0 (*.f64 (-.f64 phi2 phi1) R))
(+.f64 (*.f64 R (-.f64 phi2 phi1)) 0)

localize4.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
✓	0.1b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
✓	2.2b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series11.0ms (0.1%)

Counts

3 → 80

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	R	@	0	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
1.0ms	lambda2	@	0	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
1.0ms	phi1	@	inf	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
0.0ms	phi1	@	-inf	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
0.0ms	phi2	@	-inf	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

44×	`rational.json-simplify-2`
38×	`bool.json-1`
34×	`rational.json-simplify-1`
32×	`rational.json-1`
32×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	62	69
2	105	69
3	119	69
4	120	69

Stop Event

1×

saturated

Counts

3 → 8

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2))))))

simplify196.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-2`
1266×	`rational.json-simplify-31`
354×	`rational.json-simplify-1`
300×	`rational.json-simplify-27`
294×	`rational.json-simplify-41`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	131	3584
1	322	3584
2	633	3420
3	1083	3420
4	1350	3388
5	1367	3388
6	1386	3388
7	1406	3388
8	1424	3388
9	1755	3344
10	1778	3344
11	1798	3344
12	1824	3344
13	1850	3344
14	1874	3344
15	2018	3344
16	2050	3344
17	2080	3344
18	2114	3344
19	2150	3344
20	2225	3344
21	2247	3344
22	2251	3344

Stop Event

1×

saturated

Counts

88 → 123

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (*.f64 1/2 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (.f64 1/48 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 lambda2 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(+.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2))

Outputs
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 phi1 2))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 -1/8 (pow.f64 phi1 2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 phi1 2))) (+.f64 (+.f64 (.f64 (pow.f64 phi1 3) (.f64 1/48 (sin.f64 (.f64 1/2 phi2)))) (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (pow.f64 phi1 2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 1/48 (pow.f64 phi1 3))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))
(+.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))))) (.f64 1/48 (.f64 (sin.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 1 (*.f64 -1/8 (pow.f64 phi2 2))))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))) (.f64 lambda2 R))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (.f64 lambda2 R) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) (.f64 lambda2 R)))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) (*.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))) (.f64 lambda2 R))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) (*.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 phi1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (.f64 lambda2 R) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) (*.f64 lambda2 R))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) R)) (.f64 lambda2 (.f64 -1/2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) R))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 lambda2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 -1/2 R))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 phi2 R)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))))
(+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) R)) (.f64 lambda2 (.f64 -1/2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) R)))) (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (pow.f64 phi2 2))))))
(+.f64 (.f64 lambda2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 -1/2 R))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 (*.f64 (pow.f64 phi2 2) R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 phi2 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (*.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (*.f64 lambda2 R))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (.f64 R (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 1/48 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))))
(+.f64 (+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) R)) (.f64 lambda2 (.f64 -1/2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) R)))) (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (pow.f64 phi2 2)))))) (.f64 lambda2 (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 R (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 -1/2 R))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 (pow.f64 phi2 2) R)))))) (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi1)) R)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 phi2 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda2 R)))))) (.f64 1/48 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda2) (.f64 (pow.f64 phi2 3) R))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda2 R)))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) (.f64 lambda2 R)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 R)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) (*.f64 lambda2 R)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 phi2 lambda2)))) (.f64 R (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) (*.f64 lambda2 R)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 lambda2 R))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 (pow.f64 phi1 2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))) lambda2)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 (pow.f64 phi1 2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)))) (.f64 (pow.f64 phi1 3) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) lambda2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))) lambda2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) lambda2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) lambda2)
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 -1/2 (.f64 phi2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda2))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda2))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 lambda2 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))))) (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 lambda2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda2))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (pow.f64 phi2 3)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda2))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda2))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (.f64 (pow.f64 phi2 3) lambda2))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda2))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda2) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (.f64 (pow.f64 phi2 3) lambda2)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda2)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda2)
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)
(+.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 1)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)
(+.f64 0 (.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 0 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))
(+.f64 0 (.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 0 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) 0)
(+.f64 0 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2))
(+.f64 0 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
	2.2b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series16.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
2.0ms	phi2	@	-inf	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
1.0ms	lambda1	@	0	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
1.0ms	phi2	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
1.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))

rewrite12.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

154×	`rational.json-simplify-2`
148×	`rational.json-simplify-31`
88×	`bool.json-1`
80×	`rational.json-1`
80×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	68	60
2	122	60
3	161	60
4	216	60
5	247	60
6	259	60
7	296	60
8	373	60

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 lambda1) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 lambda1) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (neg.f64 lambda1) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) (*.f64 (neg.f64 lambda1) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))))))

simplify188.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-31`
1362×	`rational.json-simplify-2`
300×	`rational.json-simplify-27`
296×	`rational.json-simplify-41`
246×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	3828
1	279	3660
2	602	3628
3	1080	3628
4	1353	3628
5	1370	3628
6	1388	3628
7	1408	3628
8	1426	3628
9	1835	3628
10	1857	3628
11	1877	3628
12	1903	3628
13	1929	3628
14	1953	3628
15	2106	3628
16	2138	3628
17	2168	3628
18	2202	3628
19	2238	3628
20	2297	3628
21	2302	3628

Stop Event

1×

saturated

Counts

88 → 84

Calls

Call 1

Inputs
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 R lambda1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (+.f64 (.f64 -1/48 (.f64 R (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (*.f64 (pow.f64 phi2 2) lambda1)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(+.f64 0 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(+.f64 0 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))

Outputs
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 phi1 lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (pow.f64 phi1 2) lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/8 (.f64 lambda1 (pow.f64 phi1 2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda1))) (+.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) lambda1)))) (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 (pow.f64 phi1 3) lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/8 (.f64 lambda1 (pow.f64 phi1 2))))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/48 (.f64 lambda1 (pow.f64 phi1 3))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))))) (.f64 lambda1 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) -1/48)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 lambda1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))))) (.f64 lambda1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/48 (pow.f64 phi1 3))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (neg.f64 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (neg.f64 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (neg.f64 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (neg.f64 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (neg.f64 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
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(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 (*.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 lambda1)) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)) R)) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda1 R))))))
(+.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 1/8 (*.f64 lambda1 R))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda1 (*.f64 1/8 R))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (+.f64 (.f64 -1/48 (.f64 R (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (*.f64 (pow.f64 phi2 2) lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)) R)) (+.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R))) (.f64 R (.f64 (pow.f64 phi2 3) (.f64 -1/48 (.f64 lambda1 (sin.f64 (.f64 1/2 phi1))))))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (*.f64 lambda1 R))))))
(+.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 1/8 (.f64 lambda1 R)))) (.f64 -1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda1 (.f64 1/8 R)))) (.f64 -1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 lambda1 (.f64 1/8 R)))) (.f64 lambda1 (.f64 R (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 (*.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 (*.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 (*.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 -1 (*.f64 lambda1 R)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 -1 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(+.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) 0)
(+.f64 0 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (neg.f64 lambda1) R)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))
(+.f64 0 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (neg.f64 lambda1) R)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
	0.1b	(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
✓	0.2b	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
	2.2b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 82 to 40 computations (51.2% saved)

series6.0ms (0%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	0	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
1.0ms	R	@	0	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
1.0ms	phi2	@	0	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
0.0ms	phi2	@	-inf	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
0.0ms	phi1	@	-inf	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))

rewrite12.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

96×	`rational.json-simplify-2`
66×	`rational.json-simplify-31`
66×	`bool.json-1`
58×	`rational.json-1`
58×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	80	61
2	131	61
3	150	61
4	171	61
5	175	61
6	180	61
7	189	61
8	204	61
9	208	61
10	223	61
11	236	61
12	257	61

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) (*.f64 R (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda2) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

370×	`rational.json-simplify-2`
182×	`rational.json-simplify-31`
146×	`rational.json-simplify-1`
66×	`rational.json-simplify-33`
30×	`rational.json-simplify-9`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	4688
1	270	4574
2	408	4542
3	521	4542
4	571	4542
5	601	4542
6	629	4542
7	637	4542

Stop Event

1×

saturated

Counts

62 → 49

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 phi1 (.f64 R (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 R (+.f64 (.f64 -1/8 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))) (.f64 phi1 (.f64 R (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2)))))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 R (+.f64 (.f64 -1/8 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))) (+.f64 (.f64 (pow.f64 phi1 3) (.f64 (+.f64 (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)) (.f64 1/48 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))) R)) (.f64 phi1 (.f64 R (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))))))
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 R (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))))))
(.f64 R (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))))))
(.f64 R (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))))))
(.f64 R (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))) R)
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R phi2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))) R) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R phi2)) (.f64 R (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 -1/8 (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1)))) R) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)) (.f64 -1/2 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R phi2)) (+.f64 (.f64 R (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)) (.f64 -1/8 (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 2))) (.f64 R (.f64 (pow.f64 phi2 3) (+.f64 (.f64 1/48 (.f64 lambda2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))))))
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) 0)
(+.f64 0 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))

Outputs
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
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(+.f64 (+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 R (.f64 (+.f64 (.f64 lambda1 (.f64 1/8 (cos.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 lambda2))) (pow.f64 phi2 2))) (.f64 (pow.f64 phi2 3) (.f64 R (+.f64 (.f64 lambda2 (.f64 1/48 (sin.f64 (.f64 1/2 phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 -1/48))))))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (*.f64 phi2 R)))
(+.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 phi2 R)) (+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 R (.f64 (+.f64 (.f64 lambda1 (.f64 1/8 (cos.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda2 -1/8))) (pow.f64 phi2 2))) (.f64 (pow.f64 phi2 3) (.f64 R (+.f64 (.f64 lambda2 (.f64 1/48 (sin.f64 (.f64 1/2 phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 lambda1 -1/48))))))))
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 -1 lambda1))) R)
(.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) 0)
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) 0)
(+.f64 (.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R) 0)
(+.f64 0 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda2) (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) 0)
(+.f64 (.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) R) 0)

eval213.0ms (1.4%)

Compiler: Compiled 13227 to 8837 computations (33.2% saved)

prune104.0ms (0.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	428	12	440
Fresh	1	6	7
Picked	1	0	1
Done	2	2	4
Total	432	20	452

Error

1.9b

Counts

452 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	47.8b	(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
	36.8b	(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
▶	32.2b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
	51.8b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
▶	51.5b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
▶	49.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
	51.6b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
✓	32.2b	(*.f64 R (-.f64 phi2 phi1))
	56.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
▶	38.9b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
	59.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	58.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	48.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	51.8b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
	49.0b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
	51.6b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
	37.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	45.5b	(*.f64 R (neg.f64 phi1))
✓	48.8b	(*.f64 R phi2)

Compiler

Compiled 650 to 465 computations (28.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))

Compiler

Compiled 25 to 9 computations (64% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	R	@	-inf	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
1.0ms	R	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
1.0ms	R	@	inf	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
0.0ms	phi1	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
0.0ms	phi2	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

80×	`rational.json-simplify-2`
52×	`bool.json-1`
50×	`rational.json-simplify-31`
46×	`rational.json-1`
46×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	49	23
2	88	23
3	106	23
4	125	23
5	129	23
6	134	23
7	143	23
8	148	23
9	152	23
10	168	23
11	181	23
12	201	23

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R phi2)) (+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`rational.json-simplify-2`
8×	`rational.json-simplify-31`
8×	`rational.json-simplify-1`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	804
1	43	762
2	48	762
3	49	762

Stop Event

1×

saturated

Counts

38 → 15

Calls

Call 1

Inputs
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(.f64 (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)) 1)
(.f64 1 (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))

Outputs
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 R (+.f64 (.f64 -1 phi1) phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 R (.f64 -1 (+.f64 phi1 (*.f64 -1 phi2))))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 R (.f64 -1 (+.f64 phi1 (*.f64 -1 phi2))))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 R (.f64 -1 (+.f64 phi1 (*.f64 -1 phi2))))
(.f64 -1 (.f64 R (+.f64 (*.f64 -1 phi2) phi1)))
(.f64 R (.f64 -1 (+.f64 phi1 (*.f64 -1 phi2))))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(.f64 -1 (.f64 R phi1))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(.f64 -1 (.f64 R phi1))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(.f64 -1 (.f64 R phi1))
(*.f64 R (neg.f64 phi1))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 R phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(.f64 (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)) 1)
(.f64 (+.f64 (.f64 R phi2) (*.f64 R (neg.f64 phi1))) 1)
(.f64 1 (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(.f64 (+.f64 (.f64 R phi2) (*.f64 R (neg.f64 phi1))) 1)

localize5.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	R	@	inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
1.0ms	lambda2	@	0	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
1.0ms	R	@	0	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
0.0ms	phi1	@	-inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
0.0ms	phi1	@	inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))

rewrite6.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`rational.json-simplify-2`
34×	`bool.json-1`
28×	`rational.json-1`
28×	`rational.json-2`
28×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	53	23
2	92	23
3	106	23
4	107	23

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 lambda2 R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 lambda2 R)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 lambda2 R)) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 lambda2 R)))))))

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

188×	`rational.json-simplify-2`
124×	`rational.json-simplify-31`
60×	`rational.json-simplify-1`
36×	`rational.json-simplify-33`
6×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	1002
1	72	1002
2	128	984
3	203	984
4	258	984
5	271	984
6	283	984

Stop Event

1×

saturated

Counts

38 → 28

Calls

Call 1

Inputs
(*.f64 lambda2 R)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (.f64 lambda2 R))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda2 R)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda2 R))) (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 lambda2 R))))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R)))

Outputs
(*.f64 lambda2 R)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (.f64 lambda2 R))
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))))
(+.f64 (.f64 lambda2 R) (.f64 (.f64 lambda2 R) (.f64 -1/8 (pow.f64 phi1 2))))
(.f64 (.f64 lambda2 R) (+.f64 1 (*.f64 -1/8 (pow.f64 phi1 2))))
(.f64 (.f64 lambda2 R) (+.f64 (*.f64 -1/8 (pow.f64 phi1 2)) 1))
(.f64 R (.f64 (+.f64 (*.f64 -1/8 (pow.f64 phi1 2)) 1) lambda2))
(.f64 R (.f64 lambda2 (+.f64 (*.f64 -1/8 (pow.f64 phi1 2)) 1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda2 R)))))
(+.f64 (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 lambda2 (*.f64 (pow.f64 phi1 4) R)))))
(+.f64 (.f64 (.f64 lambda2 R) (.f64 -1/8 (pow.f64 phi1 2))) (+.f64 (.f64 lambda2 R) (.f64 (.f64 lambda2 R) (*.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 (.f64 lambda2 R) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))) (.f64 R (.f64 (pow.f64 phi1 4) (.f64 lambda2 1/384))))
(+.f64 (.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1)) (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1) lambda2)) (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 R (.f64 lambda2 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1))) (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda2 R))) (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 lambda2 R))))))
(+.f64 (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (.f64 lambda2 (.f64 (pow.f64 phi1 4) R))) (.f64 -1/46080 (.f64 lambda2 (.f64 (pow.f64 phi1 6) R))))))
(+.f64 (.f64 (.f64 lambda2 R) (.f64 -1/8 (pow.f64 phi1 2))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 (.f64 lambda2 R) (.f64 1/384 (pow.f64 phi1 4))) (.f64 -1/46080 (.f64 (.f64 lambda2 R) (pow.f64 phi1 6))))))
(+.f64 (.f64 (.f64 lambda2 R) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))) (+.f64 (.f64 R (.f64 (pow.f64 phi1 4) (.f64 lambda2 1/384))) (.f64 lambda2 (.f64 (pow.f64 phi1 6) (*.f64 R -1/46080)))))
(+.f64 (.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1)) (+.f64 (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))) (.f64 lambda2 (.f64 (pow.f64 phi1 6) (*.f64 R -1/46080)))))
(+.f64 (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1) lambda2)) (+.f64 (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))) (.f64 lambda2 (.f64 (pow.f64 phi1 6) (*.f64 R -1/46080)))))
(+.f64 (.f64 R (.f64 lambda2 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1))) (+.f64 (.f64 R (.f64 lambda2 (.f64 1/384 (pow.f64 phi1 4)))) (.f64 lambda2 (.f64 (pow.f64 phi1 6) (*.f64 R -1/46080)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R)) 0)
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2)))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2)))) 0)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	-inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
1.0ms	lambda1	@	0	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
1.0ms	R	@	0	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
1.0ms	phi1	@	inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
0.0ms	lambda1	@	inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

150×	`rational.json-simplify-2`
126×	`rational.json-simplify-31`
84×	`bool.json-1`
76×	`rational.json-1`
76×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	59	27
2	109	27
3	148	27
4	201	27
5	238	27
6	250	27
7	287	27
8	334	27

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))))))))

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

214×	`rational.json-simplify-2`
152×	`rational.json-simplify-31`
54×	`rational.json-simplify-1`
36×	`rational.json-simplify-33`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	1226
1	89	1154
2	168	1154
3	251	1154
4	304	1154
5	305	1154

Stop Event

1×

saturated

Counts

38 → 24

Calls

Call 1

Inputs
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))))

Outputs
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/8 (.f64 R (*.f64 (pow.f64 phi1 2) lambda1))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 (.f64 R lambda1) (.f64 1/8 (pow.f64 phi1 2))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 lambda1 (.f64 (pow.f64 phi1 2) (.f64 R 1/8))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 lambda1 (.f64 1/8 (.f64 R (pow.f64 phi1 2)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1)))))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi1 2) lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi1 4) lambda1)))))
(+.f64 (.f64 (.f64 R lambda1) (.f64 1/8 (pow.f64 phi1 2))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 R (.f64 -1/384 (*.f64 lambda1 (pow.f64 phi1 4))))))
(+.f64 (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) (.f64 R 1/8))) (.f64 R (.f64 -1/384 (*.f64 lambda1 (pow.f64 phi1 4))))))
(+.f64 (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 lambda1 (.f64 1/8 (.f64 R (pow.f64 phi1 2)))) (.f64 R (.f64 -1/384 (*.f64 lambda1 (pow.f64 phi1 4))))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1))))))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi1 2) lambda1))) (+.f64 (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi1 4) lambda1)))) (.f64 1/46080 (.f64 R (*.f64 (pow.f64 phi1 6) lambda1)))))
(+.f64 (.f64 (.f64 R lambda1) (.f64 1/8 (pow.f64 phi1 2))) (+.f64 (.f64 R (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4)))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 1/46080 (.f64 R (.f64 lambda1 (pow.f64 phi1 6)))))))
(+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) (.f64 R 1/8))) (+.f64 (.f64 R (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4)))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 1/46080 (.f64 R (.f64 lambda1 (pow.f64 phi1 6)))))))
(+.f64 (.f64 lambda1 (.f64 1/8 (.f64 R (pow.f64 phi1 2)))) (+.f64 (.f64 R (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4)))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 lambda1 (.f64 1/46080 (.f64 R (pow.f64 phi1 6)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))) 0)
(+.f64 (.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1))))
(+.f64 (.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1))) 0)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))
✓	0.1b	(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
✓	0.1b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))

Compiler

Compiled 62 to 39 computations (37.1% saved)

series15.0ms (0.1%)

Counts

4 → 112

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	lambda1	@	0	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
2.0ms	R	@	0	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
2.0ms	phi2	@	0	(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
1.0ms	phi2	@	inf	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
1.0ms	phi2	@	-inf	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))

rewrite11.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

90×	`rational.json-simplify-2`
62×	`bool.json-1`
54×	`rational.json-1`
54×	`rational.json-2`
52×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	130
1	71	130
2	118	130
3	137	130
4	158	130
5	162	130
6	167	130
7	176	130
8	181	130
9	185	130
10	200	130
11	212	130
12	231	130

Stop Event

1×

saturated

Counts

4 → 8

Calls

Call 1

Inputs
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)))))))

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

372×	`rational.json-simplify-1`
280×	`rational.json-simplify-33`
192×	`rational.json-simplify-2`
92×	`rational.json-simplify-31`
6×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	4972
1	211	4972
2	348	4972
3	483	4972
4	585	4972
5	622	4972
6	625	4972

Stop Event

1×

saturated

Counts

120 → 74

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 lambda1) lambda2) R)
(+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (.f64 R (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 -1 lambda1) lambda2) R))
(+.f64 (.f64 (+.f64 (.f64 1/384 lambda2) (.f64 -1/384 lambda1)) (.f64 R (pow.f64 phi2 4))) (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (.f64 R (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 -1 lambda1) lambda2) R)))
(+.f64 (.f64 (+.f64 (.f64 1/46080 lambda1) (.f64 -1/46080 lambda2)) (.f64 R (pow.f64 phi2 6))) (+.f64 (.f64 (+.f64 (.f64 1/384 lambda2) (.f64 -1/384 lambda1)) (.f64 R (pow.f64 phi2 4))) (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (.f64 R (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 -1 lambda1) lambda2) R))))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(*.f64 -1 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/8 (*.f64 (pow.f64 phi2 2) lambda1)))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (.f64 -1/384 (*.f64 (pow.f64 phi2 4) lambda1))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi2 4) lambda1)) (.f64 1/46080 (*.f64 (pow.f64 phi2 6) lambda1)))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
lambda2
(+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))) (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))))
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2))))
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2)) (.f64 (+.f64 (.f64 1/384 lambda2) (*.f64 -1/384 lambda1)) (pow.f64 phi2 4)))))
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2)) (+.f64 (.f64 (+.f64 (.f64 1/46080 lambda1) (.f64 -1/46080 lambda2)) (pow.f64 phi2 6)) (.f64 (+.f64 (.f64 1/384 lambda2) (.f64 -1/384 lambda1)) (pow.f64 phi2 4))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))) 0)
(+.f64 0 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 1)
(.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))

Outputs
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R)
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(*.f64 -1 lambda1)
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
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(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
lambda2
(+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))
(+.f64 lambda2 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 lambda2 (.f64 (pow.f64 phi2 2) (.f64 lambda2 -1/8)))
(+.f64 lambda2 (.f64 (.f64 lambda2 -1/8) (pow.f64 phi2 2)))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 1/384 (pow.f64 phi2 4))) lambda2) (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 lambda2 -1/8)) (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 lambda2 1/384))))
(+.f64 lambda2 (+.f64 (.f64 (.f64 lambda2 -1/8) (pow.f64 phi2 2)) (.f64 (.f64 lambda2 1/384) (pow.f64 phi2 4))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))) (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 1/384 (pow.f64 phi2 4))) lambda2) (+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (.f64 lambda2 (.f64 -1/46080 (pow.f64 phi2 6)))))
(+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 lambda2 -1/8)) (.f64 lambda2 (.f64 -1/46080 (pow.f64 phi2 6)))) (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 lambda2 1/384))))
(+.f64 (.f64 (.f64 lambda2 -1/8) (pow.f64 phi2 2)) (+.f64 (.f64 lambda2 (.f64 -1/46080 (pow.f64 phi2 6))) (+.f64 lambda2 (.f64 (.f64 lambda2 1/384) (pow.f64 phi2 4)))))
(+.f64 (*.f64 -1 lambda1) lambda2)
(+.f64 lambda2 (neg.f64 lambda1))
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2))))
(+.f64 (+.f64 lambda2 (neg.f64 lambda1)) (.f64 (+.f64 (.f64 lambda2 -1/8) (*.f64 lambda1 1/8)) (pow.f64 phi2 2)))
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2)) (.f64 (+.f64 (.f64 1/384 lambda2) (*.f64 -1/384 lambda1)) (pow.f64 phi2 4)))))
(+.f64 (neg.f64 lambda1) (+.f64 (+.f64 lambda2 (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4))))
(+.f64 lambda2 (+.f64 (+.f64 (neg.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4))))
(+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2)) (+.f64 (neg.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4)))))
(+.f64 (.f64 -1 lambda1) (+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 -1/8 lambda2) (.f64 1/8 lambda1)) (pow.f64 phi2 2)) (+.f64 (.f64 (+.f64 (.f64 1/46080 lambda1) (.f64 -1/46080 lambda2)) (pow.f64 phi2 6)) (.f64 (+.f64 (.f64 1/384 lambda2) (.f64 -1/384 lambda1)) (pow.f64 phi2 4))))))
(+.f64 (neg.f64 lambda1) (+.f64 (+.f64 lambda2 (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2))) (+.f64 (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4)) (.f64 (+.f64 (.f64 lambda1 1/46080) (*.f64 lambda2 -1/46080)) (pow.f64 phi2 6)))))
(+.f64 lambda2 (+.f64 (+.f64 (+.f64 (neg.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2))) (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4))) (.f64 (+.f64 (.f64 lambda1 1/46080) (*.f64 lambda2 -1/46080)) (pow.f64 phi2 6))))
(+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2)) (+.f64 (+.f64 (neg.f64 lambda1) (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4))) (.f64 (+.f64 (.f64 lambda1 1/46080) (*.f64 lambda2 -1/46080)) (pow.f64 phi2 6)))))
(+.f64 lambda2 (+.f64 (.f64 (+.f64 (.f64 lambda2 -1/8) (.f64 lambda1 1/8)) (pow.f64 phi2 2)) (+.f64 (.f64 (+.f64 (.f64 lambda2 1/384) (.f64 lambda1 -1/384)) (pow.f64 phi2 4)) (+.f64 (neg.f64 lambda1) (.f64 (+.f64 (.f64 lambda1 1/46080) (*.f64 lambda2 -1/46080)) (pow.f64 phi2 6))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))) 0)
(+.f64 0 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))))
(+.f64 (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))) 0)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) 0)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)
(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 1)
(.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 1)

eval46.0ms (0.3%)

Compiler: Compiled 2831 to 1774 computations (37.3% saved)

prune39.0ms (0.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	4	9	13
Picked	1	0	1
Done	1	5	6
Total	142	19	161

Error

1.9b

Counts

161 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.8b	(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
	38.9b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))
✓	51.5b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
✓	49.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
	51.6b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
▶	52.5b	(*.f64 lambda2 R)
✓	32.2b	(*.f64 R (-.f64 phi2 phi1))
	56.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
	40.7b	(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
▶	49.0b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
	59.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	58.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	48.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
▶	51.8b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
▶	37.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	45.5b	(*.f64 R (neg.f64 phi1))
	50.1b	(*.f64 R (neg.f64 lambda1))
✓	48.8b	(*.f64 R phi2)

Compiler

Compiled 542 to 387 computations (28.6% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	0.1b	(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
✓	0.2b	(pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)
✓	33.3b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 132 to 60 computations (54.5% saved)

series33.0ms (0.2%)

Counts

4 → 140

Calls

39 calls:

Time	Variable		Point	Expression
9.0ms	lambda1	@	-inf	(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
2.0ms	lambda2	@	-inf	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
1.0ms	R	@	0	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite16.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

156×	`rational.json-simplify-2`
114×	`bool.json-1`
102×	`rational.json-1`
102×	`rational.json-2`
92×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	190
1	103	190
2	192	190
3	272	190
4	327	190
5	395	190
6	435	190
7	446	190
8	453	190

Stop Event

1×

saturated

Counts

4 → 14

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))))))

simplify426.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2612×	`rational.json-simplify-31`
1956×	`rational.json-simplify-1`
1574×	`rational.json-simplify-27`
1300×	`rational.json-simplify-32`
1236×	`rational.json-simplify-2`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	457	17708
1	1063	17578
2	2018	17392
3	3156	17392
4	3919	17392
5	5399	17392
6	5828	17392
7	5867	17344
8	7445	17344
9	7830	17344
10	7897	17344

Stop Event

1×	node limit

Counts

154 → 461

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 3)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 1/2 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) lambda2) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(*.f64 -1 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 phi2 2)))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (.f64 -1/4 (pow.f64 phi2 2))))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (.f64 -1/4 (pow.f64 phi2 2)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 R (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 lambda2 (.f64 R (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 R (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 R (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 R (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/2 (/.f64 (.f64 lambda2 (.f64 R (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) R) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) R) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R)
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R) (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 2) R)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 2) R)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 R lambda1)) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 R lambda1)) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) R)
(+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) R))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) R) (.f64 1/2 (.f64 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) R) (+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 R (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (.f64 1/2 (.f64 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (+.f64 (.f64 R phi2) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) R) phi2))))
(+.f64 (.f64 -1 (.f64 phi1 R)) (+.f64 (.f64 R phi2) (+.f64 (.f64 1/2 (/.f64 (.f64 phi1 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) R)) (pow.f64 phi2 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) R) phi2)))))
(.f64 -1 (.f64 R phi2))
(+.f64 (.f64 -1 (.f64 R phi2)) (*.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 phi1 R) (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi2 2))) (+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 phi1 R) (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R)
(+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)) phi2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))))))
(*.f64 phi1 R)
(+.f64 (.f64 -1 (.f64 R phi2)) (*.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 phi1 R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) R) phi1))))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 phi1 R) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) R) phi1)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) (.f64 R phi2)) (pow.f64 phi1 2))))))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1/2 (/.f64 (.f64 R (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)
(.f64 1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 -1 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1) -1)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) 0)
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))

Outputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 lambda2 lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda1)))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
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(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda1)))) (+.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))) (pow.f64 lambda1 2))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) 2)) (.f64 1/2 (.f64 lambda2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 3)))))))))
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(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 lambda2 (.f64 -1 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) -1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))))
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(+.f64 (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2)) (.f64 phi1 (pow.f64 phi2 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2)))))) (.f64 1/2 (.f64 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2))) (.f64 phi1 (pow.f64 phi2 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 (neg.f64 phi2))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2)))))) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 phi1 (pow.f64 phi2 3))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 (neg.f64 phi2)))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi2 2)))) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 phi1 (pow.f64 phi2 3)))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(-.f64 phi2 phi1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 phi1 -1) 2)) phi2)))
(+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) phi2)))
(+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2))) phi2)))
(+.f64 (-.f64 phi2 phi1) (.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (neg.f64 phi1) 2) (pow.f64 phi1 2)) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2) -1/2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi1 -1) 2)) phi2)) (+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi1 -1) 2))) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) phi2)) (+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2))) phi2)) (+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (.f64 phi1 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2)))) (pow.f64 phi2 2)))))
(+.f64 (.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (neg.f64 phi1) 2) (pow.f64 phi1 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2) -1/2) (+.f64 (-.f64 phi2 phi1) (.f64 1/2 (/.f64 (.f64 phi1 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2)))) (pow.f64 phi2 2)))))
(+.f64 (-.f64 phi2 phi1) (+.f64 (.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (neg.f64 phi1) 2) (pow.f64 phi1 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2) -1/2) (.f64 1/2 (/.f64 (.f64 phi1 (+.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi1) 2)))) (pow.f64 phi2 2)))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(-.f64 phi1 phi2)
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(+.f64 (+.f64 phi1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))) (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2)))))
(+.f64 (+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (-.f64 phi1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2)))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 -1 (*.f64 phi2 phi1))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 -1)) 2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 -1 (.f64 phi2 phi1)))) (.f64 1/2 (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 phi1 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 -1 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 -1)) 2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (.f64 phi2 (.f64 (pow.f64 phi1 3) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 -1)) 2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 -1 (.f64 phi2 phi1)))) (+.f64 (.f64 1/2 (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 phi1 2)))) (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (pow.f64 phi1 3) phi2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 -1 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 1/2 (.f64 (.f64 phi2 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))) (*.f64 phi2 (pow.f64 phi1 3)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))) (*.f64 phi2 (pow.f64 phi1 3)))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3)))) (*.f64 phi2 (pow.f64 phi1 3))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(-.f64 phi1 phi2)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (+.f64 phi1 (.f64 phi2 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 phi2 -1) 2)) phi1)))
(+.f64 (-.f64 phi1 phi2) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) phi1)))
(+.f64 (-.f64 phi1 phi2) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) phi1)))
(+.f64 (-.f64 phi1 phi2) (.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (neg.f64 phi2) 2) (pow.f64 phi2 2)) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1) -1/2))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 (.f64 phi2 -1) (+.f64 (+.f64 phi1 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2))) (pow.f64 phi1 2)))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2)) phi1))))
(+.f64 (-.f64 phi1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) phi1)) (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2)))))
(+.f64 (-.f64 phi1 phi2) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) phi1)) (.f64 1/2 (/.f64 (.f64 phi2 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2)))) (pow.f64 phi1 2)))))
(+.f64 (-.f64 phi1 phi2) (+.f64 (.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (neg.f64 phi2) 2) (pow.f64 phi2 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1) -1/2) (.f64 1/2 (/.f64 (.f64 phi2 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2)))) (pow.f64 phi1 2)))))
(*.f64 -1 phi1)
(*.f64 phi1 -1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(-.f64 phi2 phi1)
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))
(+.f64 (-.f64 phi2 phi1) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))
(+.f64 (+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (-.f64 phi2 phi1) (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (-.f64 phi2 phi1) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 phi2 2)))
(+.f64 1 (*.f64 (pow.f64 phi2 2) -1/4))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (.f64 -1/4 (pow.f64 phi2 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (.f64 1/48 (pow.f64 phi2 4))))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (.f64 -1/4 (pow.f64 phi2 2)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 (+.f64 1 (.f64 1/48 (pow.f64 phi2 4))) (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (*.f64 -1/1440 (pow.f64 phi2 6))))
(+.f64 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (.f64 -1/1440 (pow.f64 phi2 6))) (+.f64 1 (*.f64 1/48 (pow.f64 phi2 4))))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (+.f64 1 (.f64 (pow.f64 phi2 2) -1/4)) (*.f64 -1/1440 (pow.f64 phi2 6))))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(-.f64 (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/4 (-.f64 lambda1 lambda2)))) lambda2)
(+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)))
(.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/4)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(-.f64 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/4 (-.f64 lambda1 lambda2))) (+.f64 lambda1 (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4))))) lambda2)
(-.f64 (+.f64 (+.f64 lambda1 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4))) (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4)))) lambda2)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/4))) (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 1/48 (pow.f64 phi2 4)))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) 1/4)) (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 1/48 (pow.f64 phi2 4)))))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(-.f64 (+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/4 (-.f64 lambda1 lambda2))) (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4)))) (+.f64 lambda1 (.f64 -1/1440 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 6))))) lambda2)
(-.f64 (+.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) (+.f64 lambda1 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/1440 (pow.f64 phi2 6))))) (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4)))) lambda2)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/4))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) (+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 1/48 (pow.f64 phi2 4)))) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 -1/1440 (pow.f64 phi2 6))))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) 1/4)) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 -1/1440 (pow.f64 phi2 6))))))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R)
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) R) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 lambda1 R))))))
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(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
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(*.f64 phi2 R)
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(.f64 -1 (.f64 R phi2))
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(*.f64 (neg.f64 phi2) R)
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(+.f64 (.f64 phi1 R) (+.f64 (.f64 (neg.f64 phi2) R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) R) phi1))))
(+.f64 (.f64 phi1 R) (+.f64 (.f64 (neg.f64 phi2) R) (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) R) phi1))))
(+.f64 (+.f64 (.f64 phi1 R) (.f64 (neg.f64 phi2) R)) (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) R) phi1)))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 phi1 R) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) R) phi1)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) (.f64 R phi2)) (pow.f64 phi1 2))))))
(+.f64 (+.f64 (.f64 phi1 R) (.f64 -1 (.f64 phi2 R))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2)) R) phi1)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 phi2 -1) 2)) (.f64 phi2 R)) (pow.f64 phi1 2)))))
(+.f64 (.f64 (neg.f64 phi2) R) (+.f64 (+.f64 (.f64 phi1 R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) (.f64 phi2 R)) (pow.f64 phi1 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) R) phi1))))
(+.f64 (.f64 (neg.f64 phi2) R) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) R) phi1)) (+.f64 (.f64 phi1 R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi2) 2)) (*.f64 phi2 R)) (pow.f64 phi1 2))))))
(+.f64 (.f64 (neg.f64 phi2) R) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) R) phi1)) (+.f64 (.f64 phi1 R) (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) (*.f64 phi2 R)) (pow.f64 phi1 2))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) R) phi1)) (+.f64 (+.f64 (.f64 phi1 R) (.f64 (neg.f64 phi2) R)) (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (neg.f64 phi2) 2))) (*.f64 phi2 R)) (pow.f64 phi1 2)))))
(.f64 -1 (.f64 phi1 R))
(.f64 phi1 (.f64 -1 R))
(*.f64 (neg.f64 phi1) R)
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi2 R) (.f64 phi1 (*.f64 -1 R)))
(+.f64 (.f64 phi2 R) (.f64 (neg.f64 phi1) R))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R))))
(+.f64 (+.f64 (.f64 phi2 R) (.f64 phi1 (.f64 -1 R))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 R (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)))
(+.f64 (+.f64 (.f64 phi2 R) (.f64 phi1 (.f64 -1 R))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)))
(+.f64 (+.f64 (.f64 phi2 R) (.f64 (neg.f64 phi1) R)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)))
(+.f64 (.f64 (neg.f64 phi1) R) (+.f64 (.f64 phi2 R) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1/2 (/.f64 (.f64 R (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 R (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (+.f64 (.f64 phi2 R) (.f64 phi1 (.f64 -1 R))) (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 R (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)) (+.f64 (+.f64 (.f64 phi2 R) (.f64 phi1 (.f64 -1 R))) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 phi2 R)) (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)) (+.f64 (.f64 phi2 R) (+.f64 (.f64 (neg.f64 phi1) R) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 phi2 R)) (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)) (+.f64 (.f64 phi2 R) (+.f64 (.f64 (neg.f64 phi1) R) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (*.f64 phi2 R) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))))))
(+.f64 (.f64 (neg.f64 phi1) R) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)) (+.f64 (.f64 phi2 R) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (*.f64 phi2 R) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))))))
(+.f64 (.f64 (neg.f64 phi1) R) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) R)) phi1)) (+.f64 (.f64 phi2 R) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 phi2 R))) (pow.f64 phi1 2))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))) 0)
(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 0)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)
(.f64 1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)
(.f64 -1 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)
(.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1) -1)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 1)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) 0)
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2)) 0)
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2)) 0)
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda2 lambda1) (-.f64 lambda2 lambda1))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))))))
(+.f64 0 (.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))))))

localize4.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	lambda2	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
0.0ms	phi2	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
0.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
0.0ms	phi2	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
0.0ms	R	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))

rewrite6.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`rational.json-simplify-2`
34×	`bool.json-1`
28×	`rational.json-1`
28×	`rational.json-2`
28×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	53	40
2	92	40
3	106	40
4	107	40

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

Inputs
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2) (*.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))))))

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

200×	`rational.json-simplify-2`
114×	`rational.json-simplify-1`
112×	`rational.json-simplify-31`
60×	`rational.json-simplify-33`
12×	`rational.json-simplify-19`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	1536
1	111	1536
2	185	1536
3	269	1536
4	307	1518
5	312	1518
6	315	1518
7	324	1518
8	333	1518

Stop Event

1×

saturated

Counts

64 → 38

Calls

Call 1

Inputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (+.f64 (.f64 -1/46080 (.f64 lambda2 (.f64 R (pow.f64 phi2 6)))) (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi2 4)))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
lambda2
(+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))) (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 0)
(+.f64 0 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))

Outputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 R) (.f64 lambda2 (.f64 -1/8 (.f64 R (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 R) (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))))
(.f64 (.f64 lambda2 R) (+.f64 (*.f64 -1/8 (pow.f64 phi2 2)) 1))
(.f64 lambda2 (.f64 (+.f64 (*.f64 -1/8 (pow.f64 phi2 2)) 1) R))
(.f64 lambda2 (.f64 R (+.f64 (*.f64 -1/8 (pow.f64 phi2 2)) 1)))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 -1/8 (.f64 R (pow.f64 phi2 2)))) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 lambda2 (.f64 (pow.f64 phi2 4) (*.f64 1/384 R)))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 lambda2 (.f64 (pow.f64 phi2 4) (*.f64 R 1/384)))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) 1)))
(+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 R (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 lambda2 1/384)))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (+.f64 (.f64 -1/46080 (.f64 lambda2 (.f64 R (pow.f64 phi2 6)))) (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi2 4)))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 -1/8 (.f64 R (pow.f64 phi2 2)))) (+.f64 (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi2 4)))) (.f64 lambda2 (.f64 -1/46080 (.f64 R (pow.f64 phi2 6)))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (+.f64 (.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 1/384 R))) (.f64 lambda2 (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (+.f64 (.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 R 1/384))) (.f64 lambda2 (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))) (.f64 (.f64 lambda2 R) (+.f64 (*.f64 1/384 (pow.f64 phi2 4)) 1))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 -1/8 (pow.f64 phi2 2)))) (+.f64 (.f64 lambda2 (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))) (.f64 R (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (*.f64 lambda2 1/384))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
lambda2
(+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))
(+.f64 lambda2 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2)))))
(+.f64 (+.f64 lambda2 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 lambda2 (.f64 1/384 (pow.f64 phi2 4))))
(+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 1/384 lambda2))))
(+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 lambda2 1/384))))
(+.f64 (.f64 1/384 (.f64 lambda2 (pow.f64 phi2 4))) (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))) (.f64 -1/8 (.f64 lambda2 (pow.f64 phi2 2))))))
(+.f64 (.f64 lambda2 (.f64 1/384 (pow.f64 phi2 4))) (+.f64 lambda2 (+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))))))
(+.f64 (.f64 (pow.f64 phi2 4) (.f64 1/384 lambda2)) (+.f64 lambda2 (+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))))))
(+.f64 (.f64 lambda2 (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (.f64 -1/46080 (.f64 lambda2 (pow.f64 phi2 6))) (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 lambda2 1/384)))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)) 0)
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2)))) 0)
(+.f64 0 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2)))) 0)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2) 0)
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 0)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
✓	0.1b	(.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
1.0ms	lambda1	@	0	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
1.0ms	phi1	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
1.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
1.0ms	phi1	@	inf	(.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1))

rewrite10.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

148×	`rational.json-simplify-2`
110×	`rational.json-simplify-31`
84×	`bool.json-1`
76×	`rational.json-1`
76×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	59	48
2	109	48
3	148	48
4	201	48
5	232	48
6	244	48
7	281	48
8	321	48

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)))))))

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

216×	`rational.json-simplify-2`
144×	`rational.json-simplify-31`
108×	`rational.json-simplify-1`
66×	`rational.json-simplify-33`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1792
1	138	1792
2	232	1792
3	323	1792
4	367	1792
5	368	1792

Stop Event

1×

saturated

Counts

64 → 35

Calls

Call 1

Inputs
(*.f64 -1 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1)))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi1 4) lambda1)) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) lambda1)) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1)))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)))

Outputs
(*.f64 -1 lambda1)
(neg.f64 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1)))
(+.f64 (neg.f64 lambda1) (.f64 1/8 (.f64 lambda1 (pow.f64 phi1 2))))
(+.f64 (neg.f64 lambda1) (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi1 4) lambda1)) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi1 2))) (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4)))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))) (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4)))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) lambda1)) (.f64 1/8 (*.f64 (pow.f64 phi1 2) lambda1)))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4))) (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi1 2))) (.f64 1/46080 (.f64 lambda1 (pow.f64 phi1 6))))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))) (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi1 4))) (.f64 lambda1 (.f64 1/46080 (pow.f64 phi1 6))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R lambda1))
(*.f64 (neg.f64 lambda1) R)
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 (neg.f64 lambda1) R) (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda1 R))))
(+.f64 (.f64 (neg.f64 lambda1) R) (.f64 1/8 (.f64 lambda1 (.f64 (pow.f64 phi1 2) R))))
(+.f64 (.f64 (neg.f64 lambda1) R) (.f64 lambda1 (.f64 1/8 (.f64 (pow.f64 phi1 2) R))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda1 R))) (+.f64 (.f64 (neg.f64 lambda1) R) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda1 R)))))
(+.f64 (.f64 1/8 (.f64 lambda1 (.f64 (pow.f64 phi1 2) R))) (+.f64 (.f64 (neg.f64 lambda1) R) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda1 R)))))
(+.f64 (.f64 (neg.f64 lambda1) R) (+.f64 (.f64 lambda1 (.f64 1/8 (.f64 (pow.f64 phi1 2) R))) (.f64 lambda1 (.f64 (pow.f64 phi1 4) (*.f64 -1/384 R)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1))))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda1 R))) (+.f64 (+.f64 (.f64 (neg.f64 lambda1) R) (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda1 R)))) (.f64 1/46080 (.f64 (pow.f64 phi1 6) (.f64 lambda1 R)))))
(+.f64 (.f64 1/8 (.f64 lambda1 (.f64 (pow.f64 phi1 2) R))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda1 R))) (+.f64 (.f64 (neg.f64 lambda1) R) (.f64 (pow.f64 phi1 6) (.f64 lambda1 (.f64 1/46080 R))))))
(+.f64 (.f64 lambda1 (.f64 1/8 (.f64 (pow.f64 phi1 2) R))) (+.f64 (.f64 (neg.f64 lambda1) R) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 4) (.f64 -1/384 R))) (.f64 (pow.f64 phi1 6) (.f64 lambda1 (.f64 1/46080 R))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R))
(+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi1 1/2))) 0)
(+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)))
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 1/2)) (*.f64 (neg.f64 lambda1) R)))

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
	2.2b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series3.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	0	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
0.0ms	phi2	@	0	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
0.0ms	R	@	inf	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
0.0ms	R	@	-inf	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
0.0ms	phi1	@	0	(.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))

rewrite10.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

146×	`rational.json-simplify-31`
146×	`rational.json-simplify-2`
84×	`bool.json-1`
76×	`rational.json-1`
76×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	68	56
2	120	56
3	152	56
4	195	56
5	234	56
6	250	56
7	287	56
8	357	56

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
(.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) (*.f64 R (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))))

simplify207.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-31`
1522×	`rational.json-simplify-2`
300×	`rational.json-simplify-27`
300×	`rational.json-simplify-41`
246×	`rational.json-simplify-1`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	119	3604
1	297	3508
2	615	3444
3	1126	3444
4	1406	3444
5	1421	3444
6	1439	3444
7	1457	3444
8	1473	3444
9	1961	3412
10	2131	3412
11	2155	3412
12	2181	3412
13	2209	3412
14	2235	3412
15	2265	3412
16	2297	3412
17	2327	3412
18	2361	3412
19	2397	3412
20	2479	3412
21	2490	3412

Stop Event

1×

saturated

Counts

88 → 97

Calls

Call 1

Inputs
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) R))))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 phi1)) R)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 R lambda1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (+.f64 (.f64 -1/48 (.f64 R (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (*.f64 (pow.f64 phi2 2) lambda1)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 0 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(+.f64 (.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 0)
(+.f64 0 (.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))

Outputs
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 R))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))
(+.f64 (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 R)))) (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) R)))))
(+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1)))
(+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1) (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) R))))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 R))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 3) R))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) R))) (+.f64 (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (.f64 1/48 (pow.f64 phi1 3)))) (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (.f64 1/48 (pow.f64 phi1 3))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 1 (.f64 -1/8 (pow.f64 phi1 2))))))
(+.f64 (+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1))) (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (.f64 1/48 (pow.f64 phi1 3))))
(+.f64 (+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1) (cos.f64 (.f64 1/2 phi2))))) (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (.f64 1/48 (pow.f64 phi1 3))))
(+.f64 (+.f64 (.f64 R (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) 1)))) (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (.f64 1/48 (pow.f64 phi1 3))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 phi1)) R)
(.f64 R (cos.f64 (.f64 1/2 phi1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (.f64 R (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 R (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1)))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1) (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))))))
(+.f64 (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (.f64 R (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 R (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 R (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 R (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 R (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 1/48 (pow.f64 phi2 3)))))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 1/48 (pow.f64 phi2 3)))) (.f64 R (.f64 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1) (cos.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 R (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (.f64 1/48 (pow.f64 phi2 3)))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1)))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
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(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 -1 (*.f64 R lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 R (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) lambda1)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))
(+.f64 0 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) 0)
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) 0)
(+.f64 (.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 0)
(+.f64 0 (.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))
(+.f64 0 (.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 0 (.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))

eval556.0ms (3.7%)

Compiler: Compiled 34467 to 23654 computations (31.4% saved)

prune151.0ms (1%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	654	9	663
Fresh	1	8	9
Picked	1	0	1
Done	1	8	9
Total	657	25	682

Error

1.8b

Counts

682 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(+.f64 (.f64 (neg.f64 phi1) R) (+.f64 (.f64 phi2 R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) R) phi2))))
	49.0b	(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
	49.0b	(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
	38.9b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))
	50.1b	(*.f64 (neg.f64 lambda1) R)
	60.3b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
	60.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
✓	51.5b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
✓	49.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
	51.6b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
✓	52.5b	(*.f64 lambda2 R)
✓	32.2b	(*.f64 R (-.f64 phi2 phi1))
	56.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
	40.7b	(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
✓	49.0b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
	59.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	58.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	48.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
✓	51.8b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
	60.3b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
	38.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	45.5b	(*.f64 R (neg.f64 phi1))
✓	48.8b	(*.f64 R phi2)

Compiler

Compiled 415 to 299 computations (28% saved)

regimes845.0ms (5.6%)

Counts

40 → 9

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 (neg.f64 phi1) R) (+.f64 (.f64 phi2 R) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (neg.f64 phi1) 2)) R) phi2))))

Outputs
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(*.f64 R phi2)
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(*.f64 R (-.f64 phi2 phi1))

Calls

9 calls:

184.0ms	lambda2
143.0ms	phi1
138.0ms	R
117.0ms	(-.f64 lambda1 lambda2)
94.0ms	lambda1

Results

Error	Segments	Branch
24.2b	8	`R`
22.0b	6	`lambda1`
19.4b	12	`lambda2`
17.7b	9	`phi1`
20.4b	5	`phi2`
18.2b	3	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
18.2b	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
18.2b	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
18.1b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 676 to 355 computations (47.5% saved)

bsearch266.0ms (1.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
36.0ms	8.196065361878063e-101	3.032755686481324e-92
30.0ms	2.5761195428027192e-145	3.5043764523286996e-141
30.0ms	1.6747533989168429e-186	5.3956670457399355e-183
26.0ms	-2.3564504044475797e-101	-1.1931860476917364e-102
35.0ms	-8.558927813343684e-30	-9.30326559379294e-36
41.0ms	-0.007054536718818651	-1.1834938852430477e-12
28.0ms	-1.9113591393500165e+37	-4.738407688580213e+35
40.0ms	-3.5444189695073303e+90	-1.6942381049914082e+86

Results

186.0ms	914×	body	256	valid
39.0ms	100×	body	512	valid
24.0ms	42×	body	1024	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 2615 to 1811 computations (30.7% saved)

regimes676.0ms (4.5%)

Counts

36 → 8

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))

Calls

6 calls:

168.0ms	lambda2
145.0ms	(-.f64 lambda1 lambda2)
130.0ms	R
76.0ms	phi1
74.0ms	phi2

Results

Error	Segments	Branch
24.6b	8	`R`
23.0b	5	`lambda1`
19.6b	12	`lambda2`
20.4b	5	`phi1`
20.7b	5	`phi2`
18.2b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 451 to 236 computations (47.7% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	-1.9333975960372044e-51	-1.1979600600230177e-53
0.0ms	-12454040491.241253	-3019236.2834879104
0.0ms	-5.749146304029944e+73	-5.2235322098309125e+69
0.0ms	-1.0918030738056775e+114	-2.2078937026906168e+110
0.0ms	-7.256455315226428e+126	-5.2037216228555006e+126
0.0ms	-2.870685610699763e+154	-3.75521430735563e+152
0.0ms	-5.689907503441883e+215	-3.032101002382441e+207

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes642.0ms (4.3%)

Counts

34 → 8

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (neg.f64 lambda1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (neg.f64 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))

Calls

6 calls:

164.0ms	lambda2
126.0ms	(-.f64 lambda1 lambda2)
121.0ms	R
84.0ms	phi2
70.0ms	phi1

Results

Error	Segments	Branch
24.8b	8	`R`
23.1b	5	`lambda1`
20.2b	12	`lambda2`
20.4b	5	`phi1`
20.7b	5	`phi2`
18.4b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 396 to 214 computations (46% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	-1.9333975960372044e-51	-1.1979600600230177e-53
0.0ms	-12454040491.241253	-3019236.2834879104
0.0ms	-5.749146304029944e+73	-5.2235322098309125e+69
0.0ms	-9.435047855231238e+90	-1.09719018050514e+88
0.0ms	-7.256455315226428e+126	-5.2037216228555006e+126
0.0ms	-2.870685610699763e+154	-3.75521430735563e+152
0.0ms	-5.689907503441883e+215	-3.032101002382441e+207

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes593.0ms (3.9%)

Counts

30 → 8

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (neg.f64 lambda1))))

Outputs
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))

Calls

6 calls:

149.0ms	lambda2
118.0ms	(-.f64 lambda1 lambda2)
89.0ms	lambda1
88.0ms	R
77.0ms	phi2

Results

Error	Segments	Branch
26.3b	7	`R`
22.4b	7	`lambda1`
20.9b	12	`lambda2`
20.4b	5	`phi1`
23.1b	5	`phi2`
20.1b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 310 to 174 computations (43.9% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	-1.9333975960372044e-51	-1.1979600600230177e-53
0.0ms	-12454040491.241253	-3019236.2834879104
0.0ms	-5.749146304029944e+73	-5.2235322098309125e+69
0.0ms	-9.435047855231238e+90	-1.09719018050514e+88
0.0ms	-7.256455315226428e+126	-5.2037216228555006e+126
0.0ms	-2.870685610699763e+154	-3.75521430735563e+152
0.0ms	-4.849842929914107e+190	-2.231487025403514e+189

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes503.0ms (3.3%)

Counts

28 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda2)))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi1)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R)) 0)
(+.f64 (.f64 (neg.f64 lambda1) (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 0)
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 R phi2)
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda2))
(*.f64 R (-.f64 phi2 phi1))

Calls

6 calls:

106.0ms	(-.f64 lambda1 lambda2)
105.0ms	lambda2
87.0ms	lambda1
73.0ms	phi2
65.0ms	R

Results

Error	Segments	Branch
27.3b	5	`R`
22.8b	7	`lambda1`
22.0b	9	`lambda2`
21.4b	5	`phi1`
23.2b	5	`phi2`
22.0b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 276 to 155 computations (43.8% saved)

bsearch145.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	8.196065361878063e-101	3.032755686481324e-92
35.0ms	2.5761195428027192e-145	3.5043764523286996e-141
28.0ms	1.6747533989168429e-186	5.3956670457399355e-183
46.0ms	-0.007054536718818651	-1.1834938852430477e-12

Results

104.0ms	510×	body	256	valid
18.0ms	28×	body	1024	valid
8.0ms	22×	body	512	valid

Compiler

Compiled 852 to 641 computations (24.8% saved)

regimes145.0ms (1%)

Counts

10 → 3

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))

Outputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

38.0ms	lambda1
34.0ms	phi2
27.0ms	lambda2
23.0ms	R
22.0ms	phi1

Results

Error	Segments	Branch
29.7b	4	`R`
24.5b	7	`lambda1`
25.5b	5	`lambda2`
22.6b	3	`phi1`
23.2b	5	`phi2`

Compiler

Compiled 88 to 52 computations (40.9% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.6747533989168429e-186	5.3956670457399355e-183
40.0ms	-0.007054536718818651	-1.1834938852430477e-12

Results

53.0ms	258×	body	256	valid
8.0ms	18×	body	512	valid
7.0ms	12×	body	1024	valid

Compiler

Compiled 459 to 334 computations (27.2% saved)

regimes79.0ms (0.5%)

Counts

6 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))

Outputs
(*.f64 R (neg.f64 lambda1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (neg.f64 lambda1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 lambda2 R)

Calls

5 calls:

21.0ms	phi1
21.0ms	lambda1
17.0ms	phi2
13.0ms	lambda2
5.0ms	R

Results

Error	Segments	Branch
32.2b	1	`R`
26.0b	5	`lambda1`
28.0b	3	`lambda2`
28.0b	5	`phi1`
29.6b	3	`phi2`

Compiler

Compiled 58 to 39 computations (32.8% saved)

bsearch145.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	7.622480124046212e+23	5.092377529565986e+52
33.0ms	-5.749146304029944e+73	-5.2235322098309125e+69
26.0ms	-6.61014272722378e+146	-2.879737381449127e+146
44.0ms	-4.849842929914107e+190	-2.8573934847208057e+186

Results

80.0ms	407×	body	256	valid
32.0ms	51×	body	1024	valid
21.0ms	54×	body	512	valid
7.0ms	34×	body	256	infinite

Compiler

Compiled 706 to 529 computations (25.1% saved)

regimes107.0ms (0.7%)

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 (neg.f64 lambda1) R)

Outputs
(*.f64 R (neg.f64 phi1))
(*.f64 R (neg.f64 lambda1))
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R phi2)

Calls

5 calls:

31.0ms	R
20.0ms	phi1
19.0ms	lambda1
19.0ms	lambda2
15.0ms	phi2

Results

Error	Segments	Branch
40.7b	8	`R`
35.7b	5	`lambda1`
38.3b	5	`lambda2`
30.2b	5	`phi1`
32.7b	3	`phi2`

Compiler

Compiled 53 to 37 computations (30.2% saved)

bsearch134.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.6747533989168429e-186	5.3956670457399355e-183
35.0ms	-2.1969407710052363e-217	-1.4634652305154246e-223
27.0ms	-4.481261092366209e-184	-1.4517318052792084e-185
40.0ms	-0.007054536718818651	-1.1834938852430477e-12

Results

96.0ms	484×	body	256	valid
16.0ms	25×	body	1024	valid
13.0ms	35×	body	512	valid

Compiler

Compiled 701 to 548 computations (21.8% saved)

regimes66.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))

Outputs
(*.f64 R (neg.f64 lambda1))
(*.f64 R phi2)

Calls

5 calls:

18.0ms	lambda1
13.0ms	phi1
13.0ms	R
12.0ms	lambda2
9.0ms	phi2

Results

Error	Segments	Branch
46.4b	4	`R`
39.9b	5	`lambda1`
41.1b	3	`lambda2`
44.2b	4	`phi1`
38.8b	2	`phi2`

Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	5.703396290330589e-34	2.4185882760042644e-29

Results

23.0ms	114×	body	256	valid
5.0ms	8×	body	1024	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 197 to 148 computations (24.9% saved)

regimes33.0ms (0.2%)

Accuracy

Total -20.3b remaining (-49.2%)

Threshold costs -20.3b (-49.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)

Outputs
(*.f64 lambda2 R)
(*.f64 R phi2)

Calls

5 calls:

9.0ms	lambda2
8.0ms	lambda1
6.0ms	phi2
6.0ms	phi1
3.0ms	R

Results

Error	Segments	Branch
48.8b	1	`R`
46.0b	2	`lambda1`
43.5b	2	`lambda2`
47.7b	2	`phi1`
41.3b	2	`phi2`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	6.352292012985298e-12	0.0054151740624681175

Results

24.0ms	126×	body	256	valid
6.0ms	11×	body	1024	valid
3.0ms	7×	body	512	valid

Compiler

Compiled 207 to 154 computations (25.6% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1957

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 phi1 -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -11000000000000000319053058524521168896) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 -4110347786689739/2417851639229258349412352) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -35681192317649/713623846352979940529142984724747568191373312) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 phi1 -1891296297426935/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 6697692026289335/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 phi1 4942654315294039/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (.f64 R phi2) (if (<=.f64 phi1 4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) (*.f64 R (-.f64 phi2 phi1))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -40000000000000002902366863892751134441213697151245491298273375935888406899682756297808272726972967806962503907474702884645339012654549655085961463120157287168850498073010769283212843981733888) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -8356095265176317/309485009821345068724781056) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3169443548154775/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))) (if (<=.f64 phi1 8435463364768493/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 R phi2) (if (<=.f64 phi1 6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -4242751136953197/36893488147419103232) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 5501675593023383/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 lambda1 -180000000000000010340016471313230230319933905964485620455785351598167591993878786318267751099527816257850855909962668095329639870767940715021811206666444482616819535207723614691783304282112) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda1 -450000000000000025588544167292377281067872307291981890333908525046620934835237003459269462152475206198068118919978284507584794843994735288782946304) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -18499999999999998666094358706448903140256017174020821578768380543792840704) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda1 49999999999999999661047433718081398823085422097203200) (.f64 R (-.f64 phi2 phi1)) (*.f64 lambda2 R)))))
(if (<=.f64 phi1 -2195900414534385/4722366482869645213696) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 -177010432123361/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -6756558737692685/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 lambda2 R) (if (<=.f64 phi1 5142870663043597/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 R (neg.f64 lambda1)) (*.f64 R phi2)))))
(if (<=.f64 phi2 7136238463529799/1427247692705959881058285969449495136382746624) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(if (<=.f64 phi2 1770887431076117/590295810358705651712) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)

Outputs
(if (<=.f64 phi1 -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -11000000000000000319053058524521168896) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 -4110347786689739/2417851639229258349412352) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -35681192317649/713623846352979940529142984724747568191373312) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 phi1 -1891296297426935/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 6697692026289335/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 phi1 4942654315294039/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (.f64 R phi2) (if (<=.f64 phi1 4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) (*.f64 R (-.f64 phi2 phi1))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -40000000000000002902366863892751134441213697151245491298273375935888406899682756297808272726972967806962503907474702884645339012654549655085961463120157287168850498073010769283212843981733888) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -49999999999999997582409405901396098942598045401506677583603409881825017856) (.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -8356095265176317/309485009821345068724781056) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3169443548154775/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))) (if (<=.f64 phi1 8435463364768493/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 R phi2) (if (<=.f64 phi1 6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda2)) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -4242751136953197/36893488147419103232) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 5501675593023383/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 lambda1 -180000000000000010340016471313230230319933905964485620455785351598167591993878786318267751099527816257850855909962668095329639870767940715021811206666444482616819535207723614691783304282112) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda1 -450000000000000025588544167292377281067872307291981890333908525046620934835237003459269462152475206198068118919978284507584794843994735288782946304) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -18499999999999998666094358706448903140256017174020821578768380543792840704) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda1 49999999999999999661047433718081398823085422097203200) (.f64 R (-.f64 phi2 phi1)) (*.f64 lambda2 R)))))
(if (<=.f64 phi1 -2195900414534385/4722366482869645213696) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 -177010432123361/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -6756558737692685/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 lambda2 R) (if (<=.f64 phi1 5142870663043597/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 R (neg.f64 lambda1)) (*.f64 R phi2)))))
(if (<=.f64 phi2 7136238463529799/1427247692705959881058285969449495136382746624) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(if (<=.f64 phi2 1770887431076117/590295810358705651712) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)

Compiler

Compiled 773 to 400 computations (48.3% saved)

soundness379.0ms (2.5%)

Algorithm

9×	egg-herbie

Rules

2504×	`rational.json-simplify-2`
2504×	`rational.json-simplify-2`
1916×	`rational.json-simplify-1`
1916×	`rational.json-simplify-1`
1576×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97
0	412	16692
1	974	16636
2	1800	16300
3	3176	16256
4	3870	16256
5	4453	16256
6	5107	16256
7	6047	16256
8	7115	16232
9	7960	16232
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97
0	412	16692
1	974	16636
2	1800	16300
3	3176	16256
4	3870	16256
5	4453	16256
6	5107	16256
7	6047	16256
8	7115	16232
9	7960	16232
0	122	4688
1	270	4574
2	408	4542
3	521	4542
4	571	4542
5	601	4542
6	629	4542
7	637	4542
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97
0	131	3584
1	322	3584
2	633	3420
3	1083	3420
4	1350	3388
5	1367	3388
6	1386	3388
7	1406	3388
8	1424	3388
9	1755	3344
10	1778	3344
11	1798	3344
12	1824	3344
13	1850	3344
14	1874	3344
15	2018	3344
16	2050	3344
17	2080	3344
18	2114	3344
19	2150	3344
20	2225	3344
21	2247	3344
22	2251	3344

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	node limit
1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 573 to 315 computations (45% saved)

end221.0ms (1.5%)

Compiler: Compiled 1331 to 636 computations (52.2% saved)

Iter	Nodes	Cost
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97

Iter	Nodes	Cost
0	16	548
1	27	548
2	37	506
3	49	506
4	69	506
5	93	506
6	129	506
7	165	506
8	189	506
9	206	506
10	212	506

Iter	Nodes	Cost
0	17	61
1	80	61
2	131	61
3	150	61
4	171	61
5	175	61
6	180	61
7	189	61
8	204	61
9	208	61
10	223	61
11	236	61
12	257	61

Iter	Nodes	Cost
0	10	23
1	49	23
2	88	23
3	106	23
4	125	23
5	129	23
6	134	23
7	143	23
8	148	23
9	152	23
10	168	23
11	181	23
12	201	23

Iter	Nodes	Cost
0	15	130
1	71	130
2	118	130
3	137	130
4	158	130
5	162	130
6	167	130
7	176	130
8	181	130
9	185	130
10	200	130
11	212	130
12	231	130

Iter	Nodes	Cost
0	21	190
1	103	190
2	192	190
3	272	190
4	327	190
5	395	190
6	435	190
7	446	190
8	453	190

Iter	Nodes	Cost
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97

Iter	Nodes	Cost
0	16	548
1	27	548
2	37	506
3	49	506
4	69	506
5	93	506
6	129	506
7	165	506
8	189	506
9	206	506
10	212	506

Iter	Nodes	Cost
0	17	61
1	80	61
2	131	61
3	150	61
4	171	61
5	175	61
6	180	61
7	189	61
8	204	61
9	208	61
10	223	61
11	236	61
12	257	61

Iter	Nodes	Cost
0	10	23
1	49	23
2	88	23
3	106	23
4	125	23
5	129	23
6	134	23
7	143	23
8	148	23
9	152	23
10	168	23
11	181	23
12	201	23

Iter	Nodes	Cost
0	15	130
1	71	130
2	118	130
3	137	130
4	158	130
5	162	130
6	167	130
7	176	130
8	181	130
9	185	130
10	200	130
11	212	130
12	231	130

Iter	Nodes	Cost
0	21	190
1	103	190
2	192	190
3	272	190
4	327	190
5	395	190
6	435	190
7	446	190
8	453	190

Iter	Nodes	Cost
0	20	97
1	34	97
2	51	97
3	82	97
4	135	97
5	238	97
6	367	97
7	506	97
8	543	97
9	579	97
10	621	97
11	661	97
12	705	97
13	775	97
14	779	97

Iter	Nodes	Cost
0	16	548
1	27	548
2	37	506
3	49	506
4	69	506
5	93	506
6	129	506
7	165	506
8	189	506
9	206	506
10	212	506

Iter	Nodes	Cost
0	17	61
1	80	61
2	131	61
3	150	61
4	171	61
5	175	61
6	180	61
7	189	61
8	204	61
9	208	61
10	223	61
11	236	61
12	257	61

Iter	Nodes	Cost
0	10	23
1	49	23
2	88	23
3	106	23
4	125	23
5	129	23
6	134	23
7	143	23
8	148	23
9	152	23
10	168	23
11	181	23
12	201	23

Iter	Nodes	Cost
0	15	130
1	71	130
2	118	130
3	137	130
4	158	130
5	162	130
6	167	130
7	176	130
8	181	130
9	185	130
10	200	130
11	212	130
12	231	130

Iter	Nodes	Cost
0	21	190
1	103	190
2	192	190
3	272	190
4	327	190
5	395	190
6	435	190
7	446	190
8	453	190