Details

analyze4.9s (4.9%)

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%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample23.3s (23.3%)

Results

16.6s	5439×	body	1024	valid
3.0s	1258×	body	512	valid
2.7s	472×	body	2048	valid
937.0ms	1087×	body	256	valid
6.0ms	3×	body	1024	infinite
1.0ms	1×	body	512	infinite

Bogosity

preprocess214.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1384×	`rational_best-simplify-46`
1164×	`rational_best-simplify-1`
944×	`rational_best-simplify-45`
874×	`rational_best-simplify-2`
746×	`trig-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2255
1	327	2255
2	479	2167
3	887	2167
4	1415	2167
5	1882	2167
6	2692	2167
7	4421	2167
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2))))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2)))))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 R lambda2) 2)))) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2)))))) (.f64 2 lambda2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2) (cos.f64 phi2))))))) (.f64 2 lambda2))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 R) 2)))) 2))))))) (.f64 2 lambda2))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi1) 2)))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 phi2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))

Compiler

Compiled 75 to 51 computations (32% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

930×	`trig-simplify-11`
836×	`trig-simplify-9`
822×	`rational_best-simplify-1`
718×	`rational_best-simplify-2`
700×	`trig-simplify-15`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	49	205
2	69	197
3	121	197
4	187	197
5	255	197
6	367	197
7	603	197
8	1107	197
9	2521	197
10	5437	197

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))

eval9.0ms (0%)

Compiler: Compiled 578 to 366 computations (36.7% saved)

prune7.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	5	4	9
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	5	10

Error

24.8b

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
▶	27.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
▶	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))

Compiler

Compiled 276 to 193 computations (30.1% saved)

localize419.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 396 to 208 computations (47.5% saved)

series34.0ms (0%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
3.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))

rewrite115.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`rational_best-5`
1834×	`rational_best-4`
1834×	`rational_best-2`
1834×	`rational_best-3`
1834×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	210
1	218	210
2	853	210
3	3671	210

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

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

simplify516.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

902×	`rational_best-simplify-43`
728×	`rational_best-simplify-2`
724×	`rational_best-simplify-44`
708×	`rational_best-simplify-47`
620×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	19750
1	1095	18992
2	2305	18530
3	4074	18530
4	6544	18530

Stop Event

1×	node limit

Counts

212 → 304

Calls

Call 1

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

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

localize352.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series13.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	phi2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	phi1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`rational_best-5`
1640×	`rational_best-4`
1640×	`rational_best-2`
1640×	`rational_best-3`
1640×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	184
1	206	184
2	745	176
3	3318	176

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Inputs

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

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

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

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

simplify301.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational_best-simplify-54`
1592×	`rational_best-simplify-80`
1550×	`rational_best-simplify-78`
806×	`rational_best-simplify-1`
612×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	18132
1	844	17422
2	1758	16972
3	2917	16972
4	5818	16972

Stop Event

1×	node limit

Counts

130 → 210

Calls

Call 1

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

Outputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4))))) (+.f64 1 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi2))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (sin.f64 (.f64 -1/2 phi2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 -1/24 (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4)))))) (+.f64 1 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (neg.f64 phi1))) (.f64 -1 (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi2))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))) (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi1)))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi1)))))

localize143.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
✓	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 355 to 226 computations (36.3% saved)

series25.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
4.0ms	phi1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
2.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best-5`
1632×	`rational_best-2`
1632×	`rational_best-3`
1632×	`rational_best-1`
1630×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	139
1	211	139
2	752	139
3	3387	139

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs

(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)))))

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

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

simplify235.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational_best-simplify-2`
804×	`rational_best-simplify-1`
598×	`rational_best-simplify-44`
582×	`rational_best-simplify-43`
532×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	389	12788
1	882	12270
2	1835	11764
3	3489	11764
4	5656	11748

Stop Event

1×	node limit

Counts

148 → 211

Calls

Call 1

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

Outputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 -1/2 (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(+.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 1/6 (pow.f64 lambda1 3)))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 1/6 (pow.f64 lambda1 3)))))
(+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (neg.f64 lambda1))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (neg.f64 lambda1) (.f64 1/6 (pow.f64 lambda1 3))))))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (pow.f64 lambda2 3) (*.f64 -1/6 (sin.f64 lambda1))))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (*.f64 -1/6 (pow.f64 lambda2 3))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 -1/6 (pow.f64 lambda2 3)) lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))))))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (neg.f64 lambda2) lambda1))
(-.f64 1 (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)) (+.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (pow.f64 lambda1 2) 1/2)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 -1/6 (pow.f64 lambda1 3))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)) (+.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 3) -1/6) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1)))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1)))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1)))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 -1 lambda1)))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 1 (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) 1) (cos.f64 lambda1))
(-.f64 (+.f64 1 (.f64 lambda2 (.f64 -1 (sin.f64 lambda1)))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 lambda1) (neg.f64 lambda2))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (*.f64 (neg.f64 lambda2) (sin.f64 lambda1))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (*.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 lambda2 (.f64 -1 (sin.f64 lambda1))) (+.f64 1 (.f64 (pow.f64 lambda2 2) (.f64 1/2 (cos.f64 lambda1))))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (.f64 (cos.f64 lambda1) (*.f64 1/2 (pow.f64 lambda2 2))))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 (neg.f64 lambda2) (sin.f64 lambda1)) (+.f64 1 (.f64 (cos.f64 lambda1) (*.f64 (pow.f64 lambda2 2) 1/2)))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (+.f64 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (.f64 (cos.f64 lambda1) (*.f64 (pow.f64 lambda2 2) 1/2)))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 lambda2 (.f64 -1 (sin.f64 lambda1))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))) (+.f64 1 (.f64 (pow.f64 lambda2 2) (.f64 1/2 (cos.f64 lambda1)))))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/2 (pow.f64 lambda2 2))) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))) (cos.f64 lambda1))
(-.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) 1/2))) (.f64 (sin.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3))))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (pow.f64 lambda2 2) 1/2)) (.f64 (sin.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 1/6 (pow.f64 lambda2 3)))))) (cos.f64 lambda1))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))

localize123.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 345 to 208 computations (39.7% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`rational_best-5`
1700×	`rational_best-2`
1700×	`rational_best-3`
1700×	`rational_best-1`
1698×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	87
1	214	87
2	786	87
3	3528	87

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 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simplify214.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational_best-simplify-80`
1494×	`rational_best-simplify-78`
1070×	`rational_best-simplify-135`
1070×	`rational_best-simplify-44`
1052×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	289	10347
1	655	9989
2	1307	9531
3	2534	9285
4	5609	9269

Stop Event

1×	node limit

Counts

63 → 112

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 phi1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (cos.f64 (.f64 -1/2 phi2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4) (+.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 -1/4 (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) 2)) (pow.f64 phi1 2)))) (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 1/2 (+.f64 (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (sin.f64 (.f64 -1/2 phi2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/4 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) 2)) (pow.f64 phi1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/4 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (pow.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))))) 2)) (pow.f64 phi1 2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))

eval5.4s (5.4%)

Compiler: Compiled 172856 to 109854 computations (36.4% saved)

prune2.2s (2.2%)

Pruning

58 alts after pruning (58 fresh and 0 done)

	Pruned	Kept	Total
New	1839	58	1897
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1843	58	1901

Error

22.9b

Counts

1901 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.5b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1)))))) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	28.5b	(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	29.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	38.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
▶	37.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	36.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	39.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	39.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	41.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
	39.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
▶	27.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2)))))) (*.f64 R 2))
	27.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2)))))) (*.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))))) (.f64 R 2))
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	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	34.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	36.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	36.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
▶	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
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	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
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	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 8898 to 6450 computations (27.5% saved)

localize719.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 901 to 541 computations (40% saved)

localize188.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.7b	(cos.f64 (-.f64 lambda1 lambda2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
✓	4.8b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))

Compiler

Compiled 386 to 241 computations (37.6% saved)

series12.0ms (0%)

Counts

2 → 52

Calls

15 calls:

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

rewrite215.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational_best-5`
1170×	`rational_best-4`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	175	70
2	577	70
3	2502	70

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify250.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational_best-simplify-2`
978×	`rational_best-simplify-129`
660×	`rational_best-simplify-49`
640×	`rational_best-simplify-132`
622×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	7192
1	601	7060
2	1397	6936
3	2740	6812
4	6865	6812

Stop Event

1×	node limit

Counts

94 → 126

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/48 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) 2)))) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/48 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) 2)))) (sqrt.f64 1/2)))) (+.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 6) (-.f64 (+.f64 1/1440 (.f64 -1/1440 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/48 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) 2))) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sqrt.f64 1/2) 2)))))) (sqrt.f64 1/2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))) (.f64 (pow.f64 lambda1 2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (pow.f64 (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))) (.f64 (pow.f64 lambda1 2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (pow.f64 (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))) (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (pow.f64 (.f64 1/4 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))))) (pow.f64 lambda1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 1/12 (.f64 (cos.f64 phi2) (sin.f64 lambda1))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (cos.f64 lambda1))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 phi2) (sin.f64 lambda1)))) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) 0)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) 1)
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))))
(.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))))
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) 1)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) 1)
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)
(+.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)
(-.f64 0 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(*.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (/.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)

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

localize209.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 477 to 267 computations (44% saved)

localize227.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 595 to 397 computations (33.3% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`rational_best-5`
936×	`rational_best-2`
936×	`rational_best-3`
936×	`rational_best-1`
934×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	81
1	144	41
2	523	29
3	2305	17

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))

Outputs

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

simplify199.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

990×	`rational_best-simplify-44`
762×	`rational_best-simplify-132`
670×	`rational_best-simplify-43`
632×	`rational_best-simplify-1`
556×	`rational_best-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	167	2792
1	324	2544
2	525	2420
3	899	2392
4	2902	2388
5	5958	2380

Stop Event

1×	node limit

Counts

54 → 82

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/4 (cos.f64 (neg.f64 lambda2))) (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/4 (cos.f64 (neg.f64 lambda2))) (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (+.f64 (.f64 (-.f64 (.f64 -1/12 (sin.f64 (neg.f64 lambda2))) (.f64 1/12 (sin.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 3)) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 1/12 (sin.f64 lambda1)) (.f64 -1/12 (sin.f64 lambda1)))))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 0)
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) 1))
(+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))))
(*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) (.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) 2) -2)
(pow.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))

Outputs
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) -1/2)) lambda1) 1)) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) 1) lambda1))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/4 (cos.f64 (neg.f64 lambda2))) (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) -1/2)) lambda1)) (+.f64 1 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) 1/4) (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) 1) lambda1)) (+.f64 1 (.f64 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2) (pow.f64 lambda1 2)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 lambda1 2) (cos.f64 (neg.f64 lambda2))))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 lambda1 2) (cos.f64 (neg.f64 lambda2))))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/4 (cos.f64 (neg.f64 lambda2))) (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 -1/2 (sin.f64 (neg.f64 lambda2)))) lambda1) (+.f64 (.f64 (-.f64 (.f64 -1/12 (sin.f64 (neg.f64 lambda2))) (.f64 1/12 (sin.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 3)) (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 lambda2)) 1/4) (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)) (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) -1/12) (.f64 (sin.f64 (neg.f64 lambda2)) 1/12)) (pow.f64 lambda1 3))) (+.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (neg.f64 lambda2)) -1/2)) lambda1) 1))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) 1) lambda1) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (.f64 (sin.f64 (neg.f64 lambda2)) -1/6) (pow.f64 lambda1 3)))) (.f64 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2) (pow.f64 lambda1 2)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/6)))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda1 2) (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 3) -1/6) lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda1 2) (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6)))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 lambda2 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1)))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 lambda2 (.f64 (sin.f64 lambda1) -1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (neg.f64 lambda2)))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 lambda2 (neg.f64 (sin.f64 lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 (neg.f64 lambda2) (sin.f64 lambda1)))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (.f64 lambda2 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) -1)) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 lambda1) 1/2))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 1/2 (cos.f64 lambda1)))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 lambda2 (neg.f64 (sin.f64 lambda1)))) (+.f64 1 (.f64 (cos.f64 lambda1) (.f64 1/2 (pow.f64 lambda2 2))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/2 (pow.f64 lambda2 2))) (+.f64 1 (.f64 (neg.f64 lambda2) (sin.f64 lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))) lambda2) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 1/12 (sin.f64 lambda1)) (.f64 -1/12 (sin.f64 lambda1)))))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 1/12 (sin.f64 lambda1)) (.f64 -1/12 (sin.f64 lambda1))))) (+.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (cos.f64 lambda1)) (.f64 -1/4 (cos.f64 lambda1)))) (.f64 lambda2 (-.f64 (.f64 -1/2 (sin.f64 lambda1)) (.f64 1/2 (sin.f64 lambda1))))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (sin.f64 lambda1) -1)) (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 lambda1) 1/2)) (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 lambda1) 1/6)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) 1/6)) (+.f64 (.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 1/2 (cos.f64 lambda1))))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/2 (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 (.f64 (pow.f64 lambda2 3) 1/6) (neg.f64 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/2 (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 (neg.f64 lambda2) (.f64 (pow.f64 lambda2 3) 1/6))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 1 (/.f64 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (+.f64 3 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
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(+.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 0)
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(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
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(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 1 (/.f64 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (+.f64 3 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) 2))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (+.f64 3 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) 1))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) 2))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (/.f64 (+.f64 3 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))) (.f64 (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) 2) -2)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(pow.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))

localize174.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
✓	7.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))

Compiler

Compiled 517 to 278 computations (46.2% saved)

series23.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))
3.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))
2.0ms	phi2	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))
2.0ms	lambda1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2))))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`rational_best-5`
1962×	`rational_best-4`
1962×	`rational_best-2`
1962×	`rational_best-3`
1962×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	113
1	259	113
2	910	109
3	4041	109

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs

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

Outputs

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

simplify239.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best-simplify-80`
1226×	`rational_best-simplify-78`
1224×	`rational_best-simplify-94`
1062×	`rational_best-simplify-44`
1058×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	13405
1	682	12959
2	1298	12527
3	2398	12227
4	4849	12227

Stop Event

1×	node limit

Counts

61 → 137

Calls

Call 1

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

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

eval6.7s (6.7%)

Compiler: Compiled 205895 to 129451 computations (37.1% saved)

prune2.1s (2.1%)

Pruning

93 alts after pruning (93 fresh and 0 done)

	Pruned	Kept	Total
New	1935	51	1986
Fresh	11	42	53
Picked	1	0	1
Done	4	0	4
Total	1951	93	2044

Error

22.5b

Counts

2044 → 93

Alt Table

Click to see full alt table

Status	Error	Program
	59.4b	(.f64 (atan2.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (.f64 (sin.f64 lambda1) (.f64 1/2 (sqrt.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	41.2b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	49.1b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	37.5b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1)))))) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	40.3b	(.f64 (atan2.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	28.5b	(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	40.2b	(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	48.5b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	61.0b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	60.6b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	29.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	38.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))))) (.f64 R 2))
	36.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	39.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	39.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	41.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
	39.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
	35.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1)))) 2)))))) (*.f64 R 2))
	35.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))) 2)))))) (.f64 R 2))
▶	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
	35.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	34.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	36.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	44.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	45.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
▶	36.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))))) (*.f64 R 2))
	46.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
	47.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
	43.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
	43.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
	46.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	39.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	46.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
▶	48.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
▶	26.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	26.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	36.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
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	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	24.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
▶	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))))))
	42.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	31.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	42.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 15140 to 11022 computations (27.2% saved)

localize464.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 1231 to 790 computations (35.8% saved)

localize136.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (-.f64 lambda1 lambda2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 317 to 195 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	0	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	-inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	-inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`rational_best-simplify-57`
626×	`rational_best-simplify-43`
584×	`rational_best-simplify-49`
492×	`rational_best-5`
492×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	71	17
2	242	17
3	1059	17
4	4587	17

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))

Outputs

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

simplify169.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

806×	`rational_best-simplify-49`
740×	`rational_best-simplify-80`
694×	`rational_best-simplify-78`
664×	`rational_best-simplify-94`
660×	`rational_best-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1416
1	261	1402
2	794	1262
3	2659	1262
4	5022	1262

Stop Event

1×	node limit

Counts

54 → 70

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
(-.f64 1 (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) 1) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (cos.f64 lambda1))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))) (cos.f64 lambda1))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 0)
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
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(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
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(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))))
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(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
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(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
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(/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2) -2)
(pow.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))

Outputs
(-.f64 1 (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2)))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 -1/6 (pow.f64 lambda1 3))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (*.f64 -1/6 (pow.f64 lambda1 3)))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/6 (pow.f64 lambda1 3))) (+.f64 1 (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 1/2 (pow.f64 lambda1 2)))))) (cos.f64 (neg.f64 lambda2)))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
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(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 -1)))))
(-.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))
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(-.f64 1 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2))))
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(-.f64 1 (cos.f64 lambda1))
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(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (+.f64 1 (.f64 1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (cos.f64 lambda1))
(-.f64 (+.f64 1 (+.f64 (.f64 (neg.f64 lambda2) (sin.f64 lambda1)) (.f64 1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (cos.f64 lambda1))
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(-.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))
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(*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
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(*.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
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(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 -1 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) 2)
(-.f64 1 (/.f64 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -2) -2)
(/.f64 (+.f64 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2))) -2) -2)
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) -2)
(pow.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(neg.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))

localize163.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
✓	4.2b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))

Compiler

Compiled 378 to 235 computations (37.8% saved)

series28.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	phi1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
3.0ms	phi2	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
2.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational_best-5`
1640×	`rational_best-2`
1640×	`rational_best-3`
1640×	`rational_best-1`
1638×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	81
1	215	81
2	775	81
3	3451	81

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify227.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational_best-simplify-80`
1494×	`rational_best-simplify-78`
1070×	`rational_best-simplify-135`
914×	`rational_best-simplify-2`
914×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	9257
1	576	9125
2	1122	8671
3	2149	8437
4	5173	8437

Stop Event

1×	node limit

Counts

63 → 101

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))) (sqrt.f64 1/2))
(sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))) (sqrt.f64 1/2)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))) (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))) (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 -1/4 (cos.f64 phi2))))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) -1/4)))) (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)))))))
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(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))

localize192.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 553 to 359 computations (35.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-2`
1044×	`rational_best-1`
1042×	`rational_best-5`
1042×	`rational_best-3`
1040×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	150	63
2	531	63
3	2322	51

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))

Outputs

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

simplify430.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

974×	`rational_best-simplify-44`
846×	`rational_best-simplify-80`
792×	`rational_best-simplify-94`
790×	`rational_best-simplify-78`
780×	`rational_best-simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	3017
1	280	2987
2	472	2987
3	906	2977
4	3839	2977
5	7633	2977

Stop Event

1×	node limit

Counts

53 → 69

Calls

Call 1

Inputs
(-.f64 1 (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/4 (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/4 (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (-.f64 -1 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) 2))
(+.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) 0)
(+.f64 0 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (/.f64 (-.f64 -1 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))
(+.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) 1)
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))
(+.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) 1))
(+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 1 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(*.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(*.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) 1)
(*.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))
(*.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) -1)
(.f64 (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
(.f64 (.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(.f64 (.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
(.f64 (/.f64 (.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
(/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) 1)
(/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) -1)
(/.f64 (-.f64 2 (*.f64 2 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) 2)
(/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) 2) -2)
(pow.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) 1)
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))

Outputs
(-.f64 1 (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/4 (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (+.f64 1 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/4 (.f64 -1/4 (cos.f64 (neg.f64 lambda2)))) (pow.f64 lambda1 2)) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/12 (pow.f64 lambda1 3))) (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2))))) (*.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/12 (pow.f64 lambda1 3)) (.f64 1/2 lambda1))) 1)) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/12 (pow.f64 lambda1 3)) (.f64 1/2 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 (.f64 (-.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) -1/4)) (pow.f64 lambda1 2)) (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/12 (pow.f64 lambda1 3)) (.f64 1/2 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (.f64 -1 (+.f64 lambda2 (.f64 lambda1 -1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) 1)) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 1 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) 1)) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 1 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 1 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/2 (-.f64 1 (cos.f64 lambda1))))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))))) (+.f64 1 (.f64 1/12 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (+.f64 1 (.f64 (sin.f64 lambda1) (.f64 1/12 (pow.f64 lambda2 3))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 1 (.f64 1/12 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))) (.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 1 (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/12 (pow.f64 lambda2 3)) (.f64 lambda2 -1/2))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (-.f64 1 (cos.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 1 (.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 -1/2) (.f64 1/12 (pow.f64 lambda2 3)))))) (*.f64 1/2 (+.f64 1 (cos.f64 lambda1))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) 1)))
(-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 lambda1)))) (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1)))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (/.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) -1)
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(/.f64 (-.f64 2 (*.f64 2 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) 2)
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)) 2) -2)
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(pow.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))) 1)
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) -1) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))
(+.f64 1 (-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 -1 (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) 2) (/.f64 (+.f64 2 (-.f64 -1 (cos.f64 (-.f64 lambda1 lambda2)))) 2))

localize547.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2))))
✓	3.2b	(cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 587 to 341 computations (41.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best-simplify-57`
686×	`rational_best-simplify-43`
588×	`rational_best-2`
588×	`rational_best-1`
586×	`rational_best-5`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	95	52
2	309	52
3	1328	28
4	5721	28

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))
(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2))))

Outputs

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

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

simplify177.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational_best-simplify-54`
1606×	`rational_best-simplify-78`
1570×	`rational_best-simplify-80`
1102×	`rational_best-simplify-44`
600×	`rational_best-simplify-57`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	2275
1	501	2259
2	1962	2259
3	5140	2259

Stop Event

1×	node limit

Counts

119 → 126

Calls

Call 1

Inputs
(cos.f64 (neg.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(-.f64 1 (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))) (cos.f64 (neg.f64 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 phi1))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) phi2))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) phi2)))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (.f64 -1 (.f64 (sin.f64 phi1) phi2))))) (cos.f64 phi1))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(+.f64 (cos.f64 (-.f64 phi1 phi2)) 0)
(+.f64 0 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 (cos.f64 (-.f64 phi1 phi2)) 0)
(-.f64 0 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 0))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 0) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(*.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2)))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (/.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))))
(.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(/.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(/.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(/.f64 (*.f64 2 (cos.f64 (-.f64 phi1 phi2))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) 2)
(pow.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(neg.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 0)
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) 1)
(+.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (-.f64 1 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)))))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(*.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) -1)
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (/.f64 -1 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1)) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) -1)
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) 2) -2)
(pow.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(neg.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1))

Outputs
(cos.f64 (neg.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (*.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)) (+.f64 (cos.f64 (neg.f64 phi2)) (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (+.f64 (cos.f64 (neg.f64 phi2)) (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1))) (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1/2 (pow.f64 phi1 2)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 phi2)) (pow.f64 phi1 3)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)) (.f64 (sin.f64 (neg.f64 phi2)) (*.f64 1/6 (pow.f64 phi1 3))))))
(+.f64 (.f64 (sin.f64 (neg.f64 phi2)) (neg.f64 phi1)) (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1/2 (pow.f64 phi1 2))) (+.f64 (cos.f64 (neg.f64 phi2)) (.f64 (sin.f64 (neg.f64 phi2)) (*.f64 1/6 (pow.f64 phi1 3))))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2)))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 phi2 (sin.f64 phi1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))))
(+.f64 (.f64 phi2 (sin.f64 phi1)) (+.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 (cos.f64 phi1) (+.f64 (.f64 phi2 (sin.f64 phi1)) (.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (.f64 -1/6 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/2 (cos.f64 phi1))) (.f64 (sin.f64 phi1) (*.f64 -1/6 (pow.f64 phi2 3)))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (sin.f64 phi1))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (.f64 (sin.f64 phi1) (*.f64 -1/6 (pow.f64 phi2 3)))))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (-.f64 phi1 phi2))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (-.f64 phi1 phi2))
(-.f64 1 (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 (*.f64 phi1 (sin.f64 (neg.f64 phi2))) 1) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)) 1/2))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 (pow.f64 phi1 2) 1/2)) 1)) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) 1) (.f64 (cos.f64 (neg.f64 phi2)) (*.f64 (pow.f64 phi1 2) 1/2))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)) 1/2) (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 (*.f64 (sin.f64 (neg.f64 phi2)) (pow.f64 phi1 3)) -1/6)))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 2) 1/2)) (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (.f64 (pow.f64 phi1 3) (*.f64 (sin.f64 (neg.f64 phi2)) -1/6))))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 2) 1/2)) (+.f64 1 (.f64 (sin.f64 (neg.f64 phi2)) (*.f64 -1/6 (pow.f64 phi1 3)))))) (cos.f64 (neg.f64 phi2)))
(-.f64 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) (+.f64 1 (+.f64 (.f64 (cos.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 2) 1/2)) (.f64 (sin.f64 (neg.f64 phi2)) (*.f64 -1/6 (pow.f64 phi1 3)))))) (cos.f64 (neg.f64 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 phi1) phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 phi1))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) phi2))) (cos.f64 phi1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2))) (cos.f64 phi1))
(-.f64 (+.f64 1 (*.f64 (neg.f64 phi2) (sin.f64 phi1))) (cos.f64 phi1))
(-.f64 (+.f64 1 (*.f64 phi2 (neg.f64 (sin.f64 phi1)))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) phi2)))) (cos.f64 phi1))
(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2))) (.f64 (cos.f64 phi1) (*.f64 1/2 (pow.f64 phi2 2)))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (.f64 (pow.f64 phi2 2) (*.f64 1/2 (cos.f64 phi1))))) (cos.f64 phi1))
(-.f64 (+.f64 1 (+.f64 (.f64 phi2 (neg.f64 (sin.f64 phi1))) (.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) 1/2)))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (.f64 -1 (.f64 (sin.f64 phi1) phi2))))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 1/2 (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (.f64 1/6 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (.f64 1/6 (pow.f64 phi2 3)) (neg.f64 phi2))) (+.f64 1 (.f64 (pow.f64 phi2 2) (.f64 1/2 (cos.f64 phi1))))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (neg.f64 phi2) (.f64 1/6 (pow.f64 phi2 3)))) (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) 1/2)))) (cos.f64 phi1))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(-.f64 1 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (cos.f64 (-.f64 phi1 phi2)) 0)
(cos.f64 (-.f64 phi1 phi2))
(+.f64 0 (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(-.f64 (cos.f64 (-.f64 phi1 phi2)) 0)
(cos.f64 (-.f64 phi1 phi2))
(-.f64 0 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(-.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))
(cos.f64 (+.f64 (/.f64 (-.f64 phi1 phi2) 2) (/.f64 (-.f64 phi1 phi2) 2)))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 0))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 0) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2)))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 (cos.f64 0) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (cos.f64 (-.f64 phi1 phi2)) (/.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (*.f64 2 (cos.f64 (-.f64 phi1 phi2))) 2)
(cos.f64 (-.f64 phi1 phi2))
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) 2)
(cos.f64 (-.f64 phi1 phi2))
(pow.f64 (cos.f64 (-.f64 phi1 phi2)) 1)
(cos.f64 (-.f64 phi1 phi2))
(neg.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
(+.f64 1 (neg.f64 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 0)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 0 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) 1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(+.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (-.f64 1 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2)))
(*.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) -1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (*.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(.f64 (/.f64 -1 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1)) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) -1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 (-.f64 phi1 phi2)))) 2)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) 2) -2)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(pow.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 1)
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
(neg.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))

eval4.2s (4.2%)

Compiler: Compiled 218717 to 139431 computations (36.3% saved)

prune2.4s (2.4%)

Pruning

128 alts after pruning (128 fresh and 0 done)

	Pruned	Kept	Total
New	1995	66	2061
Fresh	26	62	88
Picked	1	0	1
Done	4	0	4
Total	2026	128	2154

Error

22.1b

Counts

2154 → 128

Alt Table

Click to see full alt table

Status	Error	Program
	59.4b	(.f64 (atan2.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (.f64 (sin.f64 lambda1) (.f64 1/2 (sqrt.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	49.1b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	37.6b	(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	48.5b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	61.0b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	60.6b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	29.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))))) (.f64 R 2))
	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	35.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 1 (.f64 1/2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
	42.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (neg.f64 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))
	42.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
	34.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	47.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
▶	34.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))
	36.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	44.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	45.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	46.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	36.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	36.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	49.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
	47.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
	43.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
	41.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2))
	36.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	47.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	48.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	42.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))))) (*.f64 R 2))
▶	46.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
	47.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
	43.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
	43.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
	46.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	39.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	46.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	53.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	55.6b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	52.3b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	53.8b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	50.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	53.4b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	53.4b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	54.1b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
	55.3b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
	51.4b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
▶	50.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
	48.6b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	48.6b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	50.0b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
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	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	42.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))
	46.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 19780 to 14296 computations (27.7% saved)

localize483.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 634 to 364 computations (42.6% saved)

localize101.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 1 (cos.f64 lambda1))
	2.8b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 245 to 140 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	lambda1	@	0	(-.f64 1 (cos.f64 lambda1))
0.0ms	lambda1	@	inf	(-.f64 1 (cos.f64 lambda1))
0.0ms	lambda1	@	-inf	(-.f64 1 (cos.f64 lambda1))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`rational_best-5`
1732×	`rational_best-2`
1732×	`rational_best-3`
1732×	`rational_best-1`
1730×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	55	11
2	185	11
3	812	11
4	3486	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 lambda1))

Outputs

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

simplify132.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-2`
1056×	`rational_best-simplify-80`
958×	`rational_best-simplify-78`
918×	`rational_best-simplify-94`
570×	`rational_best-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	535
1	124	535
2	473	435
3	2075	435
4	4294	435

Stop Event

1×	node limit

Counts

29 → 36

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 lambda1 2))
(+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/2 (pow.f64 lambda1 2)))
(+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (*.f64 1/2 (pow.f64 lambda1 2))))
(+.f64 (.f64 -1/40320 (pow.f64 lambda1 8)) (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/2 (pow.f64 lambda1 2)))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(+.f64 (-.f64 1 (cos.f64 lambda1)) 0)
(+.f64 0 (-.f64 1 (cos.f64 lambda1)))
(+.f64 (neg.f64 (cos.f64 lambda1)) 1)
(*.f64 1 (-.f64 1 (cos.f64 lambda1)))
(*.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(*.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))))
(*.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (-.f64 1 (cos.f64 lambda1)))
(*.f64 (+.f64 (cos.f64 lambda1) -1) -1)
(.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (/.f64 1 (-.f64 1 (cos.f64 lambda1))))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))) (-.f64 1 (cos.f64 lambda1)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) (.f64 (-.f64 1 (cos.f64 lambda1)) (*.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 (-.f64 1 (cos.f64 lambda1)) (*.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))) (-.f64 1 (cos.f64 lambda1))) (*.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(/.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(/.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(/.f64 (+.f64 (cos.f64 lambda1) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda1)) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 lambda1) -1) 2) -2)
(pow.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(neg.f64 (+.f64 (cos.f64 lambda1) -1))

Outputs
(*.f64 1/2 (pow.f64 lambda1 2))
(+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/2 (pow.f64 lambda1 2)))
(+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (.f64 -1/24 (pow.f64 lambda1 4)))
(+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (*.f64 1/2 (pow.f64 lambda1 2))))
(+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (*.f64 1/720 (pow.f64 lambda1 6))))
(+.f64 (.f64 -1/40320 (pow.f64 lambda1 8)) (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/2 (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (.f64 -1/24 (pow.f64 lambda1 4))) (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (.f64 -1/40320 (pow.f64 lambda1 8))))
(+.f64 (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/720 (pow.f64 lambda1 6))) (+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (.f64 -1/40320 (pow.f64 lambda1 8))))
(+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (+.f64 (.f64 1/720 (pow.f64 lambda1 6)) (.f64 -1/40320 (pow.f64 lambda1 8)))))
(+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/40320 (pow.f64 lambda1 8)) (+.f64 (.f64 -1/24 (pow.f64 lambda1 4)) (.f64 1/720 (pow.f64 lambda1 6)))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(+.f64 (-.f64 1 (cos.f64 lambda1)) 0)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(+.f64 0 (-.f64 1 (cos.f64 lambda1)))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(+.f64 (neg.f64 (cos.f64 lambda1)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 1 (-.f64 1 (cos.f64 lambda1)))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (-.f64 1 (cos.f64 lambda1)))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(*.f64 (+.f64 (cos.f64 lambda1) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (/.f64 1 (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))) (-.f64 1 (cos.f64 lambda1)))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) (.f64 (-.f64 1 (cos.f64 lambda1)) (*.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 (-.f64 1 (cos.f64 lambda1)) (*.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))) (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 1 (-.f64 1 (cos.f64 lambda1)))) (-.f64 1 (cos.f64 lambda1))) (*.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(/.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(/.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1))))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(/.f64 (+.f64 (cos.f64 lambda1) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 lambda1)) 2) 2)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(/.f64 (*.f64 (+.f64 (cos.f64 lambda1) -1) 2) -2)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(pow.f64 (-.f64 1 (cos.f64 lambda1)) 1)
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))
(neg.f64 (+.f64 (cos.f64 lambda1) -1))
(+.f64 1 (neg.f64 (cos.f64 lambda1)))
(-.f64 1 (cos.f64 lambda1))

localize127.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (-.f64 lambda1 lambda2))
	4.8b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2)))))

Compiler

Compiled 372 to 189 computations (49.2% saved)

localize226.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))
✓	2.5b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))

Compiler

Compiled 501 to 318 computations (36.5% saved)

series154.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
145.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
2.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
1.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))
1.0ms	phi2	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational_best-5`
1406×	`rational_best-4`
1406×	`rational_best-2`
1406×	`rational_best-3`
1406×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	179	69
2	647	69
3	2875	69

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify212.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1850×	`rational_best-simplify-132`
1128×	`rational_best-simplify-47`
1004×	`rational_best-simplify-2`
990×	`rational_best-simplify-1`
654×	`rational_best-simplify-78`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	205	6641
1	413	6537
2	726	6239
3	1385	6105
4	3330	6099
5	5205	6099

Stop Event

1×	node limit

Counts

53 → 88

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/4 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/4 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) 2)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/4 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))))) (.f64 1/2 (.f64 (.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))))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))) (pow.f64 phi2 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))))))))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/1440 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (pow.f64 lambda1 6)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) 0)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) 1)
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))))
(.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))))
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) 1)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) 1)

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

localize379.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2))))
	3.2b	(cos.f64 (*.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))
	3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 581 to 347 computations (40.3% saved)

eval3.8s (3.8%)

Compiler: Compiled 134858 to 84917 computations (37% saved)

prune1.2s (1.2%)

Pruning

153 alts after pruning (153 fresh and 0 done)

	Pruned	Kept	Total
New	1542	51	1593
Fresh	21	102	123
Picked	1	0	1
Done	4	0	4
Total	1568	153	1721

Error

22.0b

Counts

1721 → 153

Alt Table

Click to see full alt table

Status	Error	Program
	59.4b	(.f64 (atan2.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (.f64 (sin.f64 lambda1) (.f64 1/2 (sqrt.f64 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	49.1b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	51.8b	(.f64 (atan2.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
	37.6b	(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	48.5b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
	61.0b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	60.6b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	37.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	34.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	29.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	27.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
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	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))))) (*.f64 R 2))
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	43.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
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	39.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
	51.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
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	44.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
	49.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))
	55.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
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	57.6b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	52.2b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	53.8b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
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	50.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	55.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
	55.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
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	50.5b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
	54.1b	(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
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	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	32.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	31.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	42.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))
	46.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 11454 to 8317 computations (27.4% saved)

regimes3.9s (3.9%)

Counts

230 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (*.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))

Calls

12 calls:

352.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
344.0ms	R
310.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
297.0ms	(-.f64 lambda1 lambda2)
295.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17194 to 10698 computations (37.8% saved)

regimes4.6s (4.7%)

Counts

225 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (*.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))

Calls

12 calls:

588.0ms	phi2
439.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
430.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
375.0ms	lambda1
337.0ms	lambda2

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 16380 to 10270 computations (37.3% saved)

regimes2.7s (2.7%)

Counts

215 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
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(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))))))
(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (*.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))))

Calls

12 calls:

401.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
260.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
236.0ms	phi1
185.0ms	phi2
169.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 15014 to 9404 computations (37.4% saved)

regimes2.1s (2.1%)

Counts

214 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 (+.f64 (.f64 phi1 (sin.f64 (neg.f64 phi2))) 1) (.f64 (cos.f64 (neg.f64 phi2)) (.f64 (pow.f64 phi1 2) 1/2))) (cos.f64 (neg.f64 phi2))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 phi1 phi2))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2))))) (.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) (-.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))))))
(.f64 (atan2.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))

Calls

12 calls:

144.0ms	(-.f64 lambda1 lambda2)
134.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
131.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
131.0ms	phi2
130.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 14888 to 9326 computations (37.4% saved)

regimes1.3s (1.3%)

Counts

167 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 phi2))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 phi1)) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))) 1)) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 phi2))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (/.f64 1 (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))

Calls

12 calls:

90.0ms	phi2
90.0ms	phi1
88.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
87.0ms	lambda1
86.0ms	lambda2

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 10515 to 6657 computations (36.7% saved)

regimes467.0ms (0.5%)

Counts

97 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (neg.f64 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))

Calls

7 calls:

48.0ms	lambda2
48.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
46.0ms	phi2
46.0ms	lambda1
46.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
24.8b	1	`R`
24.8b	1	`lambda1`
24.8b	1	`lambda2`
24.8b	1	`phi1`
24.8b	1	`phi2`
24.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5262 to 3365 computations (36.1% saved)

regimes589.0ms (0.6%)

Counts

93 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) 1) (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (neg.f64 lambda2))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (*.f64 R 2))

Calls

7 calls:

124.0ms	phi1
117.0ms	phi2
44.0ms	(-.f64 lambda1 lambda2)
44.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
42.0ms	lambda2

Results

Error	Segments	Branch
27.2b	1	`R`
27.2b	1	`lambda1`
27.2b	1	`lambda2`
24.3b	3	`phi1`
24.3b	3	`phi2`
27.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5006 to 3217 computations (35.7% saved)

bsearch386.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
166.0ms	13.104292018472572	335.3108972730077
217.0ms	-0.0001574562109419408	-1.052777808619376e-10

Results

258.0ms	138×	body	1024	valid
41.0ms	37×	body	512	valid
38.0ms	12×	body	2048	valid
37.0ms	69×	body	256	valid

Compiler

Compiled 2119 to 1609 computations (24.1% saved)

regimes454.0ms (0.5%)

Counts

84 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

Calls

7 calls:

105.0ms	phi1
39.0ms	R
38.0ms	lambda1
38.0ms	(-.f64 lambda1 lambda2)
37.0ms	lambda2

Results

Error	Segments	Branch
27.2b	1	`R`
27.2b	1	`lambda1`
27.2b	1	`lambda2`
24.3b	3	`phi1`
27.2b	1	`phi2`
27.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4465 to 2898 computations (35.1% saved)

bsearch400.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
206.0ms	2.399727883296446e-10	0.022982006075742474
192.0ms	-0.054471057129201604	-1.2208464863184829e-5

Results

255.0ms	138×	body	1024	valid
46.0ms	15×	body	2048	valid
46.0ms	40×	body	512	valid
42.0ms	79×	body	256	valid

Compiler

Compiled 2135 to 1617 computations (24.3% saved)

regimes412.0ms (0.4%)

Counts

83 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

7 calls:

41.0ms	phi2
40.0ms	(-.f64 lambda1 lambda2)
40.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
39.0ms	phi1
38.0ms	R

Results

Error	Segments	Branch
27.2b	1	`R`
27.2b	1	`lambda1`
27.2b	1	`lambda2`
27.2b	1	`phi1`
27.2b	1	`phi2`
27.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4410 to 2864 computations (35.1% saved)

regimes752.0ms (0.8%)

Counts

78 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 lambda1)) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

7 calls:

124.0ms	phi2
98.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
97.0ms	lambda1
97.0ms	lambda2
96.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
34.2b	1	`R`
27.3b	3	`lambda1`
27.2b	3	`lambda2`
26.8b	3	`phi1`
26.8b	3	`phi2`
29.7b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4075 to 2640 computations (35.2% saved)

bsearch518.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
295.0ms	13.104292018472572	335.3108972730077
221.0ms	-0.0001574562109419408	-1.052777808619376e-10

Results

288.0ms	141×	body	1024	valid
147.0ms	32×	body	512	valid
42.0ms	73×	body	256	valid
30.0ms	10×	body	2048	valid

Compiler

Compiled 2110 to 1621 computations (23.2% saved)

regimes1.1s (1.1%)

Counts

74 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

Calls

7 calls:

237.0ms	lambda1
220.0ms	phi1
135.0ms	lambda2
134.0ms	phi2
120.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
34.2b	1	`R`
27.3b	3	`lambda1`
27.2b	3	`lambda2`
26.8b	3	`phi1`
27.7b	3	`phi2`
29.7b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3826 to 2473 computations (35.4% saved)

bsearch946.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
452.0ms	0.022982006075742474	2891899703.1429796
493.0ms	-0.054471057129201604	-1.2208464863184829e-5

Results

479.0ms	143×	body	1024	valid
214.0ms	86×	body	256	valid
199.0ms	20×	body	2048	valid
43.0ms	39×	body	512	valid

Compiler

Compiled 2364 to 1817 computations (23.1% saved)

regimes946.0ms (0.9%)

Counts

73 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))

Calls

7 calls:

130.0ms	(-.f64 lambda1 lambda2)
120.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
118.0ms	phi1
103.0ms	lambda2
101.0ms	phi2

Results

Error	Segments	Branch
34.2b	1	`R`
27.3b	3	`lambda1`
27.2b	3	`lambda2`
28.0b	3	`phi1`
27.7b	3	`phi2`
29.7b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3765 to 2433 computations (35.4% saved)

bsearch805.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
436.0ms	1.6348492084423664e-20	7.07539182141831e-20
366.0ms	-7087.174295790791	-3.000068958651853e-8

Results

390.0ms	147×	body	1024	valid
207.0ms	31×	body	512	valid
55.0ms	64×	body	256	valid
48.0ms	14×	body	2048	valid

Compiler

Compiled 2110 to 1573 computations (25.5% saved)

regimes1.3s (1.4%)

Counts

66 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

6 calls:

268.0ms	phi2
126.0ms	(-.f64 lambda1 lambda2)
97.0ms	lambda2
96.0ms	phi1
92.0ms	lambda1

Results

Error	Segments	Branch
33.0b	3	`R`
27.3b	3	`lambda1`
27.3b	3	`lambda2`
28.0b	3	`phi1`
27.7b	3	`phi2`
29.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3336 to 2151 computations (35.5% saved)

bsearch867.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
428.0ms	1.6348492084423664e-20	7.07539182141831e-20
437.0ms	-7087.174295790791	-3.000068958651853e-8

Results

672.0ms	151×	body	1024	valid
35.0ms	67×	body	256	valid
34.0ms	29×	body	512	valid
27.0ms	9×	body	2048	valid

Compiler

Compiled 2110 to 1589 computations (24.7% saved)

regimes1.8s (1.8%)

Counts

65 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/4))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (.f64 1/2 (+.f64 1 (cos.f64 (neg.f64 lambda2))))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

6 calls:

378.0ms	(-.f64 lambda1 lambda2)
337.0ms	phi1
282.0ms	lambda1
196.0ms	phi2
129.0ms	lambda2

Results

Error	Segments	Branch
34.2b	1	`R`
31.7b	5	`lambda1`
29.0b	3	`lambda2`
28.0b	3	`phi1`
27.7b	3	`phi2`
29.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3278 to 2114 computations (35.5% saved)

bsearch554.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
297.0ms	2.244422330842044e-16	6.0353960021827285e-12
255.0ms	-0.0001574562109419408	-1.052777808619376e-10

Results

360.0ms	133×	body	1024	valid
76.0ms	75×	body	256	valid
58.0ms	18×	body	2048	valid
49.0ms	46×	body	512	valid

Compiler

Compiled 2118 to 1651 computations (22% saved)

regimes203.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

6 calls:

27.0ms	phi2
23.0ms	lambda1
22.0ms	phi1
21.0ms	lambda2
21.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
39.1b	1	`R`
39.1b	1	`lambda1`
39.1b	1	`lambda2`
39.1b	1	`phi1`
39.1b	1	`phi2`
39.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2163 to 1407 computations (35% saved)

regimes189.0ms (0.2%)

Counts

44 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/2 (.f64 (cos.f64 phi2) (-.f64 1 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/2 (pow.f64 lambda1 2))))) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

6 calls:

24.0ms	lambda1
22.0ms	phi2
22.0ms	(-.f64 lambda1 lambda2)
21.0ms	R
21.0ms	lambda2

Results

Error	Segments	Branch
39.2b	1	`R`
39.2b	1	`lambda1`
39.2b	1	`lambda2`
39.2b	1	`phi1`
39.2b	1	`phi2`
39.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2109 to 1371 computations (35% saved)

regimes277.0ms (0.3%)

Counts

38 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))

Calls

6 calls:

65.0ms	lambda2
53.0ms	lambda1
52.0ms	phi2
20.0ms	(-.f64 lambda1 lambda2)
19.0ms	R

Results

Error	Segments	Branch
43.1b	1	`R`
39.0b	3	`lambda1`
39.0b	3	`lambda2`
43.1b	1	`phi1`
40.8b	3	`phi2`
43.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1794 to 1166 computations (35% saved)

bsearch664.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
410.0ms	6.873590012479351e-6	17.52236346302691
253.0ms	-7087.174295790791	-3.000068958651853e-8

Results

383.0ms	170×	body	1024	valid
182.0ms	38×	body	512	valid
45.0ms	14×	body	2048	valid
44.0ms	82×	body	256	valid

Compiler

Compiled 2149 to 1706 computations (20.6% saved)

regimes595.0ms (0.6%)

Counts

36 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Calls

6 calls:

178.0ms	lambda2
76.0ms	phi1
48.0ms	phi2
18.0ms	lambda1
17.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
43.2b	1	`R`
43.2b	1	`lambda1`
42.1b	2	`lambda2`
42.2b	3	`phi1`
41.5b	3	`phi2`
43.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1695 to 1104 computations (34.9% saved)

bsearch690.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
373.0ms	4.387968078962496e-196	1.3820570255612246e-187
316.0ms	-0.42562759950491263	-0.0001574562109419408

Results

491.0ms	155×	body	1024	valid
120.0ms	47×	body	512	valid
41.0ms	13×	body	2048	valid
30.0ms	57×	body	256	valid

Compiler

Compiled 1812 to 1447 computations (20.1% saved)

regimes326.0ms (0.3%)

Counts

35 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (/.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (cos.f64 phi1)))) (.f64 1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 lambda1))) (.f64 (-.f64 1 (cos.f64 lambda1)) (-.f64 1 (cos.f64 lambda1)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 1 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

Calls

6 calls:

76.0ms	lambda2
52.0ms	(-.f64 lambda1 lambda2)
52.0ms	phi1
46.0ms	lambda1
36.0ms	phi2

Results

Error	Segments	Branch
48.5b	1	`R`
45.3b	3	`lambda1`
45.4b	5	`lambda2`
46.7b	2	`phi1`
47.5b	2	`phi2`
42.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1647 to 1073 computations (34.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7087.174295790791	802901157780.8175
0.0ms	-6.873590012479351e-6	-1.4411920343341384e-11

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes177.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 phi1 phi2) 2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))

Calls

6 calls:

44.0ms	lambda2
29.0ms	(-.f64 lambda1 lambda2)
27.0ms	lambda1
27.0ms	phi1
18.0ms	phi2

Results

Error	Segments	Branch
48.5b	1	`R`
45.4b	3	`lambda1`
45.4b	5	`lambda2`
46.8b	2	`phi1`
47.5b	2	`phi2`
42.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 784 to 530 computations (32.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7087.174295790791	802901157780.8175
0.0ms	-6.873590012479351e-6	-1.4411920343341384e-11

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes63.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))

Calls

6 calls:

10.0ms	lambda2
8.0ms	R
8.0ms	(-.f64 lambda1 lambda2)
8.0ms	phi1
7.0ms	lambda1

Results

Error	Segments	Branch
48.5b	1	`R`
48.5b	1	`lambda1`
48.5b	1	`lambda2`
48.5b	1	`phi1`
48.5b	1	`phi2`
48.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 518 to 357 computations (31.1% saved)

regimes51.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Calls

5 calls:

14.0ms	lambda1
13.0ms	lambda2
6.0ms	R
6.0ms	phi1
5.0ms	phi2

Results

Error	Segments	Branch
50.5b	1	`R`
48.4b	3	`lambda1`
49.4b	2	`lambda2`
50.5b	1	`phi1`
50.5b	1	`phi2`

Compiler

Compiled 257 to 182 computations (29.2% saved)

bsearch184.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
157.0ms	2.4565492527624265e+28	1.4183646216565222e+29
26.0ms	-290.05541149240463	-264.2908650592583

Results

138.0ms	70×	body	1024	valid
22.0ms	17×	body	512	valid
14.0ms	23×	body	256	valid
6.0ms	2×	body	2048	valid

Compiler

Compiled 699 to 562 computations (19.6% saved)

regimes34.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Calls

5 calls:

10.0ms	R
5.0ms	phi1
4.0ms	phi2
4.0ms	lambda1
4.0ms	lambda2

Results

Error	Segments	Branch
50.5b	1	`R`
50.5b	1	`lambda1`
50.5b	1	`lambda2`
50.5b	1	`phi1`
50.5b	1	`phi2`

Compiler

Compiled 218 to 158 computations (27.5% saved)

regimes26.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Calls

5 calls:

5.0ms	phi2
5.0ms	lambda1
4.0ms	lambda2
4.0ms	R
4.0ms	phi1

Results

Error	Segments	Branch
50.7b	1	`R`
50.7b	1	`lambda1`
50.7b	1	`lambda2`
50.7b	1	`phi1`
50.7b	1	`phi2`

Compiler

Compiled 180 to 134 computations (25.6% saved)

regimes20.0ms (0%)

Accuracy

Total -2.5b remaining (-4.8%)

Threshold costs -2.5b (-4.8%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs

(*.f64 (atan2.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Calls

5 calls:

4.0ms	lambda1
4.0ms	phi2
3.0ms	phi1
3.0ms	lambda2
3.0ms	R

Results

Error	Segments	Branch
50.7b	1	`R`
50.7b	1	`lambda1`
50.7b	1	`lambda2`
50.7b	1	`phi1`
50.7b	1	`phi2`

Compiler

Compiled 107 to 84 computations (21.5% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	9068

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (/.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))
(if (<=.f64 phi2 -3246626956972881/36893488147419103232) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 phi2 3715469692580659/281474976710656) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))))) (.f64 R 2))))
(if (<=.f64 phi1 -5902958103587057/147573952589676412928) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2)) (if (<=.f64 phi1 1770887431076117/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(if (<=.f64 phi2 -7378697629483821/295147905179352825856) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 phi2 3715469692580659/281474976710656) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))))
(if (<=.f64 phi1 -5312662293228351/295147905179352825856) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2)) (if (<=.f64 phi1 3314649325744685/144115188075855872) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))))
(if (<=.f64 lambda2 -5534023222112865/73786976294838206464) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (.f64 R 2)) (if (<=.f64 lambda2 5815372481559007/83076749736557242056487941267521536) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 lambda2 -5534023222112865/9223372036854775808) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 lambda2 5815372481559007/83076749736557242056487941267521536) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))))
(if (<=.f64 phi2 -7706902100043261/302231454903657293676544) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 phi2 3837614121784679/1237940039285380274899124224) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(if (<=.f64 lambda2 -8854437155380585/73786976294838206464) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (.f64 R 2)) (if (<=.f64 lambda2 3984496719921263/147573952589676412928) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))))
(if (<=.f64 phi2 -5902958103587057/36893488147419103232) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (if (<=.f64 phi2 5392690748371603/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -5902958103587057/1180591620717411303424) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 10000) (.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -5902958103587057/1180591620717411303424) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 10000) (.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(if (<=.f64 lambda1 -270) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (if (<=.f64 lambda1 24999999999999997858287714304) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))) (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))))))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))
(if (<=.f64 lambda2 -8854437155380585/73786976294838206464) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (.f64 R 2)) (if (<=.f64 lambda2 3984496719921263/147573952589676412928) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (*.f64 R 2))))
(if (<=.f64 phi2 -5902958103587057/36893488147419103232) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (if (<=.f64 phi2 5392690748371603/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -5902958103587057/1180591620717411303424) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 10000) (.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -5902958103587057/1180591620717411303424) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 10000) (.f64 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))) 2)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 R 2))
(if (<=.f64 lambda1 -270) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2)) (if (<=.f64 lambda1 24999999999999997858287714304) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2))))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 lambda1)) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (-.f64 1 (cos.f64 lambda1)) 2))))))) (*.f64 R 2))

Compiler

Compiled 3050 to 2165 computations (29% saved)

soundness763.0ms (0.8%)

Algorithm

4×	egg-herbie

Rules

1292×	`rational_best-simplify-2`
1292×	`rational_best-simplify-2`
930×	`trig-simplify-11`
930×	`trig-simplify-11`
836×	`trig-simplify-9`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	49	205
2	69	197
3	121	197
4	187	197
5	255	197
6	367	197
7	603	197
8	1107	197
9	2521	197
10	5437	197
0	389	12788
1	882	12270
2	1835	11764
3	3489	11764
4	5656	11748
0	29	205
1	49	205
2	69	197
3	121	197
4	187	197
5	255	197
6	367	197
7	603	197
8	1107	197
9	2521	197
10	5437	197
0	389	12788
1	882	12270
2	1835	11764
3	3489	11764
4	5656	11748

Stop Event

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

Compiler

Compiled 626 to 400 computations (36.1% saved)

end1.9s (1.9%)

Compiler: Compiled 2925 to 1898 computations (35.1% saved)