Details

analyze2.7s (1.8%)

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)

sample22.9s (15.2%)

Results

16.6s	5420×	body	1024	valid
2.6s	439×	body	2048	valid
2.4s	1314×	body	512	valid
1.2s	1083×	body	256	valid
4.0ms	2×	body	1024	infinite

Bogosity

preprocess92.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1414×	`rational_best-simplify-53`
1286×	`rational_best-simplify-43`
1078×	`rational_best-simplify-49`
996×	`rational_best-simplify-46`
910×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2255
1	346	2255
2	610	2167
3	1212	2167
4	2605	2167
5	6282	2035
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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi1))))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) -2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) -2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -2)))) 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 (-.f64 1/2 (/.f64 (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 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 2)) (cos.f64 phi2)))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -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 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 phi2 phi1) -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 phi2 phi1) -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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (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 1/2 (/.f64 (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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 R lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 R lambda2) 1)) 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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) -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 phi2 phi1) -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 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (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 1/2 (/.f64 (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 1/2 (/.f64 (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 1/2 (/.f64 (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 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 R) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 R) 1)) 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)))))))))
(.f64 2 (.f64 phi1 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))))))))))
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(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 phi2 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 phi2 lambda2) 1)) 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 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) -2)) (sin.f64 (/.f64 (-.f64 phi1 lambda1) -2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) -2)) (sin.f64 (/.f64 (-.f64 phi1 lambda1) -2))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 lambda1) -2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 lambda1) -2)))) 2)))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 lambda1) -2))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 phi1 lambda1) -2))) 2)))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (/.f64 (.f64 2 (-.f64 lambda1 phi1)) 2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (/.f64 (.f64 2 (-.f64 lambda1 phi1)) 2)) 2)))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 phi1) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) -2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 phi1) 1)) 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 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 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (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 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 phi2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 phi2) 1)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -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 lambda2 lambda1) -2)))) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -2)))) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -2))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda2 lambda1) -2))) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) 2)))))))

Compiler

Compiled 75 to 51 computations (32% saved)

simplify46.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1720×	`rational_best-simplify-49`
1464×	`rational_best-simplify-46`
852×	`rational_best-simplify-54`
818×	`rational_best-simplify-53`
796×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	55	205
2	96	197
3	195	197
4	399	197
5	941	185
6	2636	185

Stop Event

1×	node limit

Counts

1 → 8

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 (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 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (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 1/2 (/.f64 (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 1/2 (/.f64 (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 1/2 (/.f64 (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 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))

eval9.0ms (0%)

Compiler: Compiled 507 to 316 computations (37.7% saved)

prune6.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	4	4	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	5	9

Error

25.1b

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
▶	25.1b	(.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 (-.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)))))))))
▶	25.1b	(.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))))))))))
▶	25.6b	(.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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))))))

Compiler

Compiled 268 to 185 computations (31% saved)

localize313.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))
✓	1.5b	(-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))
✓	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
✓	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 377 to 232 computations (38.5% saved)

series24.0ms (0%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))
3.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))
2.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))
2.0ms	phi1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))
2.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2124×	`rational_best-4`
2124×	`rational_best-2`
2124×	`rational_best-3`
2124×	`rational_best-1`
706×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
1	165	128
2	307	128
3	655	128
4	1757	128
5	5458	128

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

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

simplify162.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational_best-simplify-49`
1252×	`rational_best-simplify-1`
1152×	`rational_best-simplify-46`
1024×	`rational_best-simplify-2`
848×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	477	10427
1	1116	10261
2	2211	10157
3	4560	10133

Stop Event

1×	node limit

Counts

209 → 281

Calls

Call 1

Inputs
(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)))
(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 (-.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 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (.f64 -1 (+.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 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 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (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 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (+.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 -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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
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(/.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) -1)
(/.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) -2)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(neg.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 0)
(+.f64 0 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1/2)
(.f64 1 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(.f64 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2) -1)
(.f64 -1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2))
(/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2) -1)
(pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(neg.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 0)
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) -1)
(.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) -1)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))

Outputs
(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 (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))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (pow.f64 phi1 2) (.f64 -1/8 (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 (*.f64 -1/2 phi2)) -1/8))))
(+.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)))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 -1/48 (pow.f64 phi1 3))) (.f64 (pow.f64 phi1 2) (.f64 -1/8 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (pow.f64 phi1 2))) (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (pow.f64 phi1 2))) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 -1/48 (pow.f64 phi1 3)) (.f64 1/2 phi1)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) -1/8))))
(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 phi1 -1))))
(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 phi1 -1))))
(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 phi1 -1))))
(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 phi1 -1))))
(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 (.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 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (.f64 -1/8 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (+.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 -1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.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)))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/48 (pow.f64 phi2 3)) (.f64 -1/2 phi2))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 1/48 (pow.f64 phi2 3))))))
(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 phi2 -1))))
(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 phi2 -1))))
(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 phi2 -1))))
(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 phi2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(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 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.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 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (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 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (cos.f64 (neg.f64 lambda2)) (.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 lambda1 lambda2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2)))
(cos.f64 (-.f64 lambda1 lambda2))
(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 lambda2 (sin.f64 lambda1)) (+.f64 (cos.f64 lambda1) (.f64 -1/2 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.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 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (*.f64 -1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (.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 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 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (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 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.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 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4)) (.f64 (pow.f64 lambda1 3) (.f64 -1/12 (sin.f64 (neg.f64 lambda2))))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4)) (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 (pow.f64 lambda1 3) -1/12))))) (.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
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(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 -1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))
(+.f64 1 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 -1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) -1)
(+.f64 1 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 -1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))
(+.f64 1 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 -1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))

localize718.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
✓	0.6b	(-.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))))))
✓	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 396 to 208 computations (47.5% saved)

series15.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	0	(-.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))))))
1.0ms	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))))))
1.0ms	phi2	@	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))))))
1.0ms	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))))))
1.0ms	lambda2	@	0	(-.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))))))

rewrite68.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational_best-4`
1540×	`rational_best-2`
1540×	`rational_best-3`
1540×	`rational_best-1`
1540×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	141
1	173	141
2	464	117
3	1227	117
4	3833	117

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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))))))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))

Inputs

(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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))))))

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

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

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simplify220.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1042×	`rational_best-simplify-1`
922×	`rational_best-simplify-50`
862×	`rational_best-simplify-2`
858×	`rational_best-simplify-49`
718×	`rational_best-simplify-46`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	389	10317
1	838	9951
2	1526	9839
3	2581	9645
4	3844	9567
5	6941	9563

Stop Event

1×	node limit

Counts

157 → 276

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)))
(-.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))))
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(/.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) -1) -1)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(neg.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) -1))
(+.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 0)
(+.f64 0 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)))
(+.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 (.f64 (cos.f64 0) 1/2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)))
(+.f64 (-.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))
(+.f64 (-.f64 (.f64 (cos.f64 0) 1/2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))
(-.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 0)
(-.f64 0 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2))
(-.f64 (cos.f64 0) (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(-.f64 (.f64 (cos.f64 0) 1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) -1/2)
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) (/.f64 (cos.f64 0) -2))
(-.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/2))
(-.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 (cos.f64 0) 1/2)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (/.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)) 2))
(-.f64 (/.f64 (*.f64 2 (cos.f64 0)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2) -1)
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -2)
(pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(neg.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2))
(fabs.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(fabs.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 (cos.f64 0) 1/2)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (*.f64 2 (cos.f64 0)) 2)))
(fabs.f64 (-.f64 -1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))
(fabs.f64 (-.f64 (/.f64 (cos.f64 0) -2) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))
(fabs.f64 (-.f64 (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 0)))
(fabs.f64 (-.f64 (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))

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 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))))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/48 (pow.f64 lambda1 3))))))
(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))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.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)))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (.f64 -1/2 lambda2) (cos.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/8 (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (*.f64 -1/2 lambda2))))
(+.f64 (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 (pow.f64 lambda2 2)))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (.f64 -1/2 lambda2) (cos.f64 (.f64 1/2 lambda1)))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (*.f64 -1/8 (pow.f64 lambda2 2))))
(+.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)))))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/8 (sin.f64 (.f64 1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 -1/2 lambda2)) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 1/48 (pow.f64 lambda2 3))))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 1/48 (pow.f64 lambda2 3))))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 1/48 (pow.f64 lambda2 3)) (.f64 -1/2 lambda2)))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3))))))
(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))))
(-.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 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)))))) (+.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 (pow.f64 phi1 2) (.f64 -1 (+.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 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))))) (+.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))) (neg.f64 (.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 (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 (cos.f64 phi2) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.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 (.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 (.f64 (pow.f64 phi1 2) (.f64 -1 (+.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 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.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 1 (.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))))) (+.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)))) (.f64 -1 (+.f64 (.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 (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))))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) 1/6)) (.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))))
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(-.f64 (+.f64 1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
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(-.f64 (+.f64 1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 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)))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))) (+.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 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 -1 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (neg.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 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)))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.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 1 (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) 1/6))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
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(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(-.f64 (cos.f64 0) (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(-.f64 (.f64 (cos.f64 0) 1/2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(-.f64 (.f64 1/2 (cos.f64 0)) (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 1/2 (-.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) -1/2)
(/.f64 (+.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) -2)
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) (/.f64 (cos.f64 0) -2))
(/.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0)) -2)
(-.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/2))
(+.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)))
(+.f64 1/2 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4)))
(+.f64 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 1/4)
(+.f64 1/4 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))
(-.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 (cos.f64 0) 1/2)))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (.f64 1/2 (cos.f64 0)) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (.f64 1/2 (cos.f64 0)) (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4)))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 -1/4 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 1/2 (cos.f64 0)))))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 -1/4 (-.f64 (.f64 1/2 (cos.f64 0)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) 1/4) (.f64 (cos.f64 0) -1/2)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4) (/.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)) 2))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (.f64 1/2 (cos.f64 0)) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4)))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (.f64 1/2 (cos.f64 0)) (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4)))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 -1/4 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 1/2 (cos.f64 0)))))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 -1/4 (-.f64 (.f64 1/2 (cos.f64 0)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))))
(+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) 1/4) (.f64 (cos.f64 0) -1/2)))
(-.f64 (/.f64 (*.f64 2 (cos.f64 0)) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(/.f64 (-.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 2 (cos.f64 0))) -2)
(+.f64 -1/2 (-.f64 (cos.f64 0) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))
(/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(/.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2) -1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1) -2)
(-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) -1/2)
(/.f64 (+.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) -2)
(pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(neg.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(fabs.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(fabs.f64 (-.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(fabs.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) -1/2))
(fabs.f64 (-.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(fabs.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) 1/2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (+.f64 1/2 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4))))
(fabs.f64 (+.f64 1/2 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4))))
(fabs.f64 (+.f64 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) 1/4))
(fabs.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 (cos.f64 0) 1/2)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 1/2 (cos.f64 0))) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (-.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4) (.f64 1/2 (cos.f64 0))) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 -1/4 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 1/2 (cos.f64 0))))))
(fabs.f64 (-.f64 (-.f64 (.f64 (cos.f64 0) -1/2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) -4)) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (-.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 0))))
(fabs.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)) 2) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/4)))
(fabs.f64 (-.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 4) (.f64 1/2 (cos.f64 0))) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (-.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4) (.f64 1/2 (cos.f64 0))) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (+.f64 (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 -1/4 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) (.f64 1/2 (cos.f64 0))))))
(fabs.f64 (-.f64 (-.f64 (.f64 (cos.f64 0) -1/2) (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) -4)) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (-.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4) (.f64 1/4 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (cos.f64 0))))
(fabs.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (*.f64 2 (cos.f64 0)) 2)))
(fabs.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 2 (cos.f64 0))) -2))
(/.f64 (fabs.f64 (-.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 2 (cos.f64 0)))) 2)
(fabs.f64 (-.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 0)))
(fabs.f64 (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (-.f64 1/2 (cos.f64 0))))
(fabs.f64 (-.f64 -1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))
(fabs.f64 (-.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) -1/2))
(fabs.f64 (/.f64 (+.f64 -1 (cos.f64 (-.f64 lambda1 lambda2))) -2))
(/.f64 (fabs.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(fabs.f64 (-.f64 (/.f64 (cos.f64 0) -2) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))
(fabs.f64 (/.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0)) -2))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0))) 2)
(fabs.f64 (-.f64 (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 0)))
(fabs.f64 (-.f64 (cos.f64 0) (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2))))))
(fabs.f64 (-.f64 (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2))))
(fabs.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2))))))

localize170.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.6b	(-.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)))))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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)))))
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	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	@	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)))))
0.0ms	lambda2	@	0	(-.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)))))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational_best-4`
1166×	`rational_best-2`
1166×	`rational_best-3`
1166×	`rational_best-1`
1166×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	161	116
2	360	112
3	913	100
4	2848	100
5	7938	100

Stop Event

1×	node limit

Counts

2 → 18

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)))))

(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)

Outputs

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

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

simplify297.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational_best-simplify-49`
1236×	`rational_best-simplify-1`
1164×	`rational_best-simplify-46`
934×	`rational_best-simplify-53`
784×	`rational_best-simplify-52`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	254	7848
1	567	7520
2	1054	7468
3	1802	7330
4	2309	7246
5	3048	7240
6	4549	7240

Stop Event

1×	node limit

Counts

90 → 168

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))))
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(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))
(+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 0)
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))
(.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)) -1)
(.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)) -1)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))
(+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))
(-.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)
(.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 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 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.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 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (neg.f64 (cos.f64 (.f64 -1/2 phi2)))))) (+.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 (sin.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 1 (.f64 -1 (.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 (.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 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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi2))))))))) (+.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 (-.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 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.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 (.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 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 1 (+.f64 (.f64 -1 (.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 (+.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))))) (.f64 -1 (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 1 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (neg.f64 phi1))) (.f64 -1 (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3)) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi2)))))))))) (+.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 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) 1/6)) (.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 (-.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 (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 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))) (+.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 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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))) (+.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 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.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 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))) (+.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
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(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)) -1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)) -1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) 1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(-.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)

localize184.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2)))))
	1.5b	(-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 315 to 181 computations (42.5% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite134.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational_best-simplify-2`
1192×	`rational_best-simplify-50`
850×	`rational_best-4`
850×	`rational_best-2`
850×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	77
1	168	77
2	336	77
3	741	77
4	2030	77
5	6761	77

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify160.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-48`
1052×	`rational_best-simplify-49`
1018×	`rational_best-simplify-2`
904×	`rational_best-simplify-46`
844×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	216	6002
1	484	5882
2	876	5848
3	1486	5770
4	2149	5684
5	3359	5664
6	6867	5664

Stop Event

1×	node limit

Counts

60 → 101

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (+.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 -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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) (+.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 phi2 2))) (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.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 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) (+.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 phi2 2))) (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))))))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 0)
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)) -1)
(.f64 -1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)) -1)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)))

Outputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 1 (.f64 -1 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (+.f64 (neg.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))) (.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (neg.f64 (+.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (neg.f64 (+.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.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 (+.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 -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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 1 (+.f64 (.f64 -1 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))) (.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))))) (.f64 -1 (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3)) (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2)))))))) (.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) 1/6)) (+.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2))))))))) (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) 1/6))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (neg.f64 (+.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 -1/2 (cos.f64 phi2)))))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 (.f64 (pow.f64 phi1 3) -1/6) phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 1 (neg.f64 (+.f64 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (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)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (*.f64 -1 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
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(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 0)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)) -1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 -1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)) -1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1)))
(-.f64 1 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))

eval3.8s (2.5%)

Compiler: Compiled 173348 to 106699 computations (38.4% saved)

prune2.6s (1.7%)

Pruning

76 alts after pruning (76 fresh and 0 done)

	Pruned	Kept	Total
New	2194	76	2270
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	2198	76	2274

Error

22.6b

Counts

2274 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	26.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2)) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	26.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	36.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.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 -1/8 (pow.f64 phi2 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
▶	34.8b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	39.8b	(.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 1/2 (/.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	43.1b	(.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 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	39.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	38.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
▶	49.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 (-.f64 phi1 phi2) (PI.f64)))) (cos.f64 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 (-.f64 phi1 phi2) (PI.f64)))) (sin.f64 (-.f64 phi2 phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	49.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2))))))) (*.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	35.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	40.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) 2))))))) (.f64 R 2))
	36.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (*.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	45.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1))))) (*.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 1/2 (/.f64 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	38.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	37.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) 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)))))))))
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	25.9b	(.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)) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (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)))))))))
	34.8b	(.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)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (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)))))))))
▶	24.3b	(.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	42.1b	(.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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 (PI.f64)) lambda2)))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.4b	(.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)) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 (-.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 lambda1)))))))))
	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 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))) (cos.f64 (*.f64 1/2 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))))))))))
	31.5b	(.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))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
	34.0b	(.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 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))))))))
	34.4b	(.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 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.8b	(.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 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.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))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) 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)))))))))
	32.5b	(.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))) (sin.f64 (.f64 1/2 lambda1))))) (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)))))))))
	45.6b	(.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))) (cos.f64 (.f64 1/2 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))) (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)))))))))
▶	39.8b	(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	25.7b	(.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 -1/2 (-.f64 (cos.f64 0) (/.f64 (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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	25.1b	(.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 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))))
	36.9b	(.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 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (neg.f64 lambda2)))))))))))
	40.0b	(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))))))))
	25.1b	(.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)) (fabs.f64 (-.f64 (.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))))))))))
	34.0b	(.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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	42.7b	(.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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2))))))))))
	32.0b	(.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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 lambda1) 2))))))))))
▶	34.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	34.9b	(.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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))))))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))))))
	32.6b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))))))
	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) 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)))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2)))) (.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)))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.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 11108 to 8022 computations (27.8% saved)

localize241.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.5b	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 583 to 355 computations (39.1% saved)

series18.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite59.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`rational_best-simplify-49`
1214×	`rational_best-1`
1214×	`rational_best-simplify-46`
1210×	`rational_best-4`
1210×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	135
1	214	135
2	444	131
3	1088	119
4	2946	119

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs

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

simplify189.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational_best-simplify-49`
1350×	`rational_best-simplify-46`
1230×	`rational_best-simplify-2`
1184×	`rational_best-simplify-1`
862×	`rational_best-simplify-47`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	226	8600
1	501	8386
2	958	8334
3	1641	8260
4	2386	8136
5	3356	8108
6	5221	8108

Stop Event

1×	node limit

Counts

60 → 122

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

localize159.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
✓	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 403 to 246 computations (39% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`rational_best-2`
1404×	`rational_best-1`
1402×	`rational_best-4`
1402×	`rational_best-3`
1402×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	63	34
2	107	34
3	195	34
4	416	34
5	1078	34
6	3493	34

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

((#(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 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (neg.f64 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda2 -2))) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (*.f64 lambda2 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 lambda1 -2)))) (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda1 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (neg.f64 lambda1))) (*.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 1/2 (PI.f64))))) (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda2 lambda2))) (*.f64 (cos.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda1 lambda2)))) (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (+.f64 lambda2 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 lambda2 -2)) (sin.f64 (-.f64 (neg.f64 lambda2) lambda1))) (*.f64 (cos.f64 (-.f64 (neg.f64 lambda2) lambda1)) (sin.f64 (+.f64 (+.f64 lambda2 lambda2) (*.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (neg.f64 lambda2) lambda1)) (sin.f64 (+.f64 (+.f64 lambda2 lambda2) (*.f64 1/2 (PI.f64))))) (*.f64 (sin.f64 (*.f64 lambda2 -2)) (sin.f64 (-.f64 (neg.f64 lambda2) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 lambda1 4)))) (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 lambda1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 lambda1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (-.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (-.f64 1/2 (*.f64 (cos.f64 lambda1) (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) (/.f64 (cos.f64 (neg.f64 lambda2)) 2))) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1/2))))))

simplify155.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best-simplify-2`
914×	`rational_best-simplify-48`
838×	`rational_best-simplify-1`
764×	`rational_best-simplify-45`
752×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	483	7430
1	1090	7186
2	2766	6218
3	6695	6184

Stop Event

1×	node limit

Counts

198 → 282

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

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

localize248.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.0b	(-.f64 1/2 (/.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))

Compiler

Compiled 396 to 198 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1930×	`rational_best-1`
890×	`rational_best-4`
890×	`rational_best-2`
890×	`rational_best-3`
890×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	87	33
2	156	33
3	242	33
4	455	33
5	1066	33
6	3165	33
7	7617	33

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify33.0ms (0%)

Algorithm

1×	egg-herbie

Rules

68×	`rational_best-simplify-2`
68×	`rational_best-simplify-1`
34×	`rational_best-simplify-43`
14×	`rational_best-simplify-44`
12×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	1234
1	94	1234
2	129	1222
3	158	1222
4	192	1222
5	206	1222
6	210	1222

Stop Event

1×

saturated

Counts

36 → 32

Calls

Call 1

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

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(.f64 -1/2 (.f64 lambda2 lambda1))
(.f64 -1/2 (.f64 lambda1 lambda2))
(.f64 lambda1 (.f64 -1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (*.f64 1/4 (pow.f64 lambda1 2)))
(+.f64 (.f64 -1/2 (.f64 lambda1 lambda2)) (*.f64 1/4 (pow.f64 lambda1 2)))
(+.f64 (.f64 lambda1 (.f64 -1/2 lambda2)) (*.f64 1/4 (pow.f64 lambda1 2)))
(+.f64 (.f64 1/12 (.f64 lambda2 (pow.f64 lambda1 3))) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (*.f64 1/4 (pow.f64 lambda1 2))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/2 (.f64 lambda1 lambda2)) (.f64 1/12 (*.f64 lambda2 (pow.f64 lambda1 3)))))
(+.f64 (.f64 lambda1 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 1/12 (*.f64 lambda2 (pow.f64 lambda1 3)))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 lambda2 (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (.f64 lambda1 -1/2))))
(+.f64 (.f64 1/12 (.f64 lambda2 (pow.f64 lambda1 3))) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (.f64 1/4 (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/12 (.f64 lambda2 (pow.f64 lambda1 3))) (+.f64 (.f64 -1/2 (.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 -1/48 (pow.f64 lambda1 4)))))
(+.f64 (.f64 1/12 (.f64 lambda2 (pow.f64 lambda1 3))) (+.f64 (.f64 lambda1 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 -1/48 (pow.f64 lambda1 4)))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (.f64 lambda2 (+.f64 (.f64 1/12 (pow.f64 lambda1 3)) (*.f64 lambda1 -1/2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (+.f64 1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)) 0)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 0 (+.f64 1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2) 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(.f64 (+.f64 1/2 (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)) 1)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(.f64 1 (+.f64 1/2 (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(.f64 (-.f64 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2) -1)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(.f64 -1 (-.f64 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(/.f64 (+.f64 1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)) 1)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2) -1)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(pow.f64 (+.f64 1/2 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -1/2)) 1)
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(neg.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) 1/2))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))

localize199.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
✓	3.0b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	17.5b	(cos.f64 (*.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))

Compiler

Compiled 523 to 299 computations (42.8% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational_best-4`
1706×	`rational_best-2`
1706×	`rational_best-3`
1706×	`rational_best-1`
766×	`exponential-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	99	50
2	182	50
3	335	50
4	742	50
5	2041	34
6	6372	34

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2)) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (-.f64 phi2 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(*.f64 (cos.f64 (+.f64 phi2 phi2)) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (+.f64 phi1 phi2)))) (*.f64 (sin.f64 (+.f64 phi2 phi2)) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 phi1 -2)) (cos.f64 (+.f64 (+.f64 phi1 phi2) (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2)))))) (*.f64 (sin.f64 (*.f64 phi1 -2)) (sin.f64 (+.f64 (+.f64 phi1 phi2) (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (-.f64 phi1 phi2)) -1/2)) (cos.f64 (PI.f64))) (*.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (-.f64 phi1 phi2)) -1/2)) (sin.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 phi1 phi2))) (cos.f64 (+.f64 (+.f64 phi2 phi2) (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2)))))) (*.f64 (sin.f64 (neg.f64 (+.f64 phi1 phi2))) (sin.f64 (+.f64 (+.f64 phi2 phi2) (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 phi2 (*.f64 phi1 3))) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (*.f64 phi1 4)))) (*.f64 (sin.f64 (+.f64 phi2 (*.f64 phi1 3))) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (*.f64 phi1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (*.f64 2 (*.f64 (cos.f64 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (*.f64 (cos.f64 0) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (+.f64 1 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 2 (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (*.f64 (cos.f64 0) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (*.f64 (cos.f64 0) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (*.f64 (cos.f64 0) 2) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (cos.f64 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (cos.f64 0)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 0)) (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) 2) (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 1/2 (-.f64 (PI.f64) (-.f64 phi1 phi2))))))))

simplify232.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational_best-simplify-49`
1210×	`rational_best-simplify-46`
1054×	`rational_best-simplify-1`
898×	`rational_best-simplify-44`
894×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	6262
1	718	6122
2	1694	6062
3	4391	5414

Stop Event

1×	node limit

Counts

158 → 171

Calls

Call 1

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

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

localize616.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
	0.6b	(-.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))))))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 526 to 312 computations (40.7% saved)

eval6.2s (4.1%)

Compiler: Compiled 167605 to 106972 computations (36.2% saved)

prune4.7s (3.2%)

Pruning

143 alts after pruning (143 fresh and 0 done)

	Pruned	Kept	Total
New	2001	90	2091
Fresh	18	53	71
Picked	1	0	1
Done	4	0	4
Total	2024	143	2167

Error

12.1b

Counts

2167 → 143

Alt Table

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Status	Error	Program
	26.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2)) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	50.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	50.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	43.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.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 -1/8 (pow.f64 phi2 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	49.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	49.1b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	34.4b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (+.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	36.6b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 lambda1) 2))))))) (*.f64 R 2))
	49.5b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	39.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	38.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	48.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 phi1 phi2)) -1/2)) (cos.f64 (PI.f64))) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (-.f64 phi1 phi2)) -1/2)) (sin.f64 (PI.f64))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (-.f64 phi2 phi1))) (-.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) (cos.f64 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	50.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 (+.f64 (PI.f64) (.f64 (-.f64 phi1 phi2) -1/2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	48.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (+.f64 phi2 phi1) (-.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (+.f64 phi1 phi1))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	52.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2))))))) (*.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	35.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	36.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (*.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	45.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	51.7b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	32.8b	(.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 1/2 (.f64 1/2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	46.8b	(.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 lambda1 (.f64 -1/2 lambda2)) (.f64 1/4 (pow.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	47.2b	(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.2b	(.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 -1/2 (.f64 lambda2 (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	38.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	43.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	51.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
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▶	25.1b	(.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 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))))
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	46.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (+.f64 (+.f64 lambda1 lambda1) (/.f64 (PI.f64) -2)))) (.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda2 lambda1))) (sin.f64 (+.f64 (+.f64 lambda1 lambda1) (/.f64 (PI.f64) -2))))))) (cos.f64 phi2))))))))
	34.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (cos.f64 phi2))))))))
	34.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda2 -2)))))) (cos.f64 phi2))))))))
	34.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
	34.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))) (cos.f64 phi2))))))))
	34.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 (*.f64 1/2 (PI.f64)))))) 2)))) (cos.f64 phi2))))))))
▶	41.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
	46.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 lambda2 lambda2))) (.f64 (cos.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda2 lambda1))))))) (cos.f64 phi2))))))))
	42.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 lambda1 lambda1))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 (.f64 lambda1 -2) (.f64 1/2 (PI.f64)))))))) (cos.f64 phi2))))))))
	38.3b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -2)) (sin.f64 (-.f64 (neg.f64 lambda2) lambda1))) (.f64 (cos.f64 (-.f64 (neg.f64 lambda2) lambda1)) (sin.f64 (+.f64 (+.f64 lambda2 lambda2) (.f64 1/2 (PI.f64)))))))) (cos.f64 phi2))))))))
	42.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))))) (cos.f64 phi2))))))))
	42.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
	46.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))) (cos.f64 phi2))))))))
	46.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
	40.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
	34.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) (/.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (cos.f64 phi2))))))))
	34.9b	(.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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))))))))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))))))
	42.7b	(.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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
▶	38.6b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	36.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	45.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2)))) (.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 21066 to 15550 computations (26.2% saved)

localize509.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
✓	0.4b	(pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2)
	0.5b	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 585 to 378 computations (35.4% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`rational_best-simplify-46`
1242×	`rational_best-simplify-49`
1206×	`rational_best-1`
1202×	`rational_best-4`
1202×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	124
1	196	124
2	425	120
3	1059	108
4	2911	108

Stop Event

1×	node limit

Counts

2 → 11

Calls

Call 1

Inputs

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

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

simplify183.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational_best-simplify-49`
1522×	`rational_best-simplify-46`
1172×	`rational_best-simplify-2`
1112×	`rational_best-simplify-1`
842×	`rational_best-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	209	6047
1	488	5779
2	945	5631
3	1625	5401
4	2392	5231
5	3502	5221
6	5595	5221

Stop Event

1×	node limit

Counts

83 → 148

Calls

Call 1

Inputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.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))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (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 (.f64 (+.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 phi2 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 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.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 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 6)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 0)
(+.f64 0 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2))
(-.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 0)
(.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) 1)
(.f64 1 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2))
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 1)
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)
(+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))
(-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)
(pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)

Outputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 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 (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 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.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 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.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 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.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 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.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))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.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 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))) (.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 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.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 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3)))))
(+.f64 (.f64 (pow.f64 phi1 2) (+.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 (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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (*.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (.f64 (pow.f64 phi1 2) (+.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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 phi1 2) (+.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 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(+.f64 (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 phi1 1/2)) 2) (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 -1 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (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 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 -1 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))) (pow.f64 phi2 2))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2))))
(+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)))
(+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (cos.f64 (.f64 phi1 1/2)))))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (cos.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.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 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 -1 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 1/8 (sin.f64 (.f64 phi1 1/2)))) (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 1/24 (sin.f64 (.f64 phi1 1/2))))) (pow.f64 phi2 3)))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (.f64 (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))) 1/6) (pow.f64 phi2 3)))))
(+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (*.f64 (pow.f64 phi2 3) 1/6)))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (cos.f64 (.f64 phi1 1/2))))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (*.f64 (pow.f64 phi2 3) 1/6)))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (+.f64 (*.f64 (pow.f64 phi2 3) 1/6) (neg.f64 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (pow.f64 phi2 2)) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (+.f64 (neg.f64 phi2) (*.f64 (pow.f64 phi2 3) 1/6)))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
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(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2)))))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))
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(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (neg.f64 (cos.f64 (.f64 1/2 lambda1)))))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (neg.f64 lambda2)))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6) (pow.f64 lambda2 3)))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda2 2))) (.f64 (cos.f64 phi1) (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/6) (pow.f64 lambda2 3))))))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 lambda2 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (neg.f64 (cos.f64 phi2)))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) 1/6)) (pow.f64 lambda2 3)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) 1/6)) (pow.f64 lambda2 3)))) (.f64 (cos.f64 phi1) (+.f64 (neg.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3))) 1/6) (.f64 (cos.f64 phi2) (*.f64 lambda2 (neg.f64 (cos.f64 phi1)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 -1 lambda2)))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 -1 lambda2)))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 -1 lambda2)))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 -1 lambda2)))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2))
(+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 0)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(+.f64 0 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(-.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 0)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) 1)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(.f64 1 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) 1)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)
(+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))

localize162.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 1/2 (/.f64 (cos.f64 lambda1) 2))
	1.5b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 358 to 215 computations (39.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational_best-simplify-51`
934×	`rational_best-simplify-47`
928×	`rational_best-2`
928×	`rational_best-1`
924×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	56	17
2	92	17
3	146	17
4	308	17
5	608	17
6	1463	17
7	5238	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify478.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational_best-simplify-51`
1216×	`rational_best-simplify-2`
1116×	`rational_best-simplify-55`
1108×	`rational_best-simplify-53`
1100×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	653
1	98	653
2	134	653
3	171	653
4	244	653
5	312	653
6	407	653
7	605	653
8	1175	653
9	2571	653
10	3612	653
11	4328	653
12	4655	653
13	4794	653
14	4862	653
15	4880	653
16	5727	653
17	6371	653
18	6576	653
19	6771	653
20	6883	653
21	6898	653
22	6899	653
23	6967	653
24	6971	653

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 lambda1 2))
(+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (.f64 1/4 (pow.f64 lambda1 2)))
(+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (*.f64 1/4 (pow.f64 lambda1 2))))
(+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (.f64 -1/80640 (pow.f64 lambda1 8)) (.f64 1/4 (pow.f64 lambda1 2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (-.f64 1/2 (cos.f64 lambda1)))
(+.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 0)
(+.f64 0 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)))
(+.f64 (*.f64 (cos.f64 lambda1) -1/2) 1/2)
(+.f64 (neg.f64 (cos.f64 lambda1)) (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))
(+.f64 (neg.f64 (cos.f64 lambda1)) (-.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)))
(+.f64 (-.f64 1/2 (cos.f64 lambda1)) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 (.f64 (cos.f64 lambda1) 3/2) (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)))
(+.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 lambda1)))
(+.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1)))
(+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2))
(.f64 (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) 1)
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)))
(.f64 (-.f64 (.f64 1/2 (cos.f64 lambda1)) 1/2) -1)
(.f64 -1 (-.f64 (.f64 1/2 (cos.f64 lambda1)) 1/2))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 1)
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2) -1)
(/.f64 (-.f64 (-.f64 (cos.f64 lambda1) 1/2) (*.f64 1/2 (cos.f64 lambda1))) -1)
(pow.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 1)
(neg.f64 (-.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2))

Outputs
(*.f64 1/4 (pow.f64 lambda1 2))
(+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (.f64 1/4 (pow.f64 lambda1 2)))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 -1/48 (pow.f64 lambda1 4)))
(+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (*.f64 1/4 (pow.f64 lambda1 2))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (*.f64 1/1440 (pow.f64 lambda1 6))))
(+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (*.f64 1/1440 (pow.f64 lambda1 6))))
(+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (.f64 -1/80640 (pow.f64 lambda1 8)) (.f64 1/4 (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/80640 (pow.f64 lambda1 8)) (.f64 -1/48 (pow.f64 lambda1 4)))))
(+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 -1/80640 (pow.f64 lambda1 8))) (.f64 1/1440 (pow.f64 lambda1 6))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/80640 (pow.f64 lambda1 8)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (.f64 1/1440 (pow.f64 lambda1 6)))))
(+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (.f64 -1/80640 (pow.f64 lambda1 8)))))
(+.f64 (.f64 -1/48 (pow.f64 lambda1 4)) (+.f64 (.f64 1/1440 (pow.f64 lambda1 6)) (+.f64 (.f64 1/4 (pow.f64 lambda1 2)) (.f64 -1/80640 (pow.f64 lambda1 8)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (-.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 0)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 0 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (*.f64 (cos.f64 lambda1) -1/2) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (neg.f64 (cos.f64 lambda1)) (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (neg.f64 (cos.f64 lambda1)) (-.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (-.f64 1/2 (cos.f64 lambda1)) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (.f64 (cos.f64 lambda1) 3/2) (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(.f64 (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(.f64 (-.f64 (.f64 1/2 (cos.f64 lambda1)) 1/2) -1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(.f64 -1 (-.f64 (.f64 1/2 (cos.f64 lambda1)) 1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2) -1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(/.f64 (-.f64 (-.f64 (cos.f64 lambda1) 1/2) (*.f64 1/2 (cos.f64 lambda1))) -1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(pow.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2)) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(neg.f64 (-.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))

localize311.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 426 to 216 computations (49.3% 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	lambda2	@	-inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	-inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	inf	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))

rewrite60.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational_best-1`
1418×	`rational_best-4`
1418×	`rational_best-2`
1418×	`rational_best-3`
1418×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	55	17
2	92	17
3	184	17
4	422	17
5	1080	17
6	3521	17

Stop Event

1×	node limit

Counts

1 → 30

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 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(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 (cos.f64 (-.f64 lambda1 lambda2))) 0)))) (#(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 (cos.f64 (-.f64 lambda1 lambda2)) -2) (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) (-.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(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 (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (-.f64 1 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (-.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda2 -2))) (-.f64 1 (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (*.f64 lambda2 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (neg.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (*.f64 lambda2 -2)))) (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 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 (cos.f64 (-.f64 lambda1 lambda2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -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 (cos.f64 (-.f64 lambda1 lambda2)) -1) -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 (+.f64 -1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (cos.f64 (-.f64 lambda1 lambda2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 -1 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) -1)))) (#(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))))))

simplify80.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational_best-simplify-49`
1106×	`rational_best-simplify-53`
1096×	`rational_best-simplify-46`
868×	`rational_best-simplify-47`
532×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	126	1636
1	259	1566
2	444	1552
3	827	1542
4	1978	1270
5	5761	1246

Stop Event

1×	node limit

Counts

46 → 72

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

localize379.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
✓	0.7b	(-.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))))
✓	2.7b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 467 to 307 computations (34.3% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	0	(-.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))))
1.0ms	lambda2	@	0	(-.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))))
0.0ms	phi1	@	0	(-.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))))
0.0ms	phi1	@	-inf	(-.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))))
0.0ms	phi1	@	inf	(-.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))))

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2334×	`rational_best-1`
972×	`rational_best-4`
972×	`rational_best-2`
972×	`rational_best-3`
972×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	132	101
2	227	101
3	419	101
4	919	101
5	2548	101
6	7794	101

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs

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

(-.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))))

(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (*.f64 0 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) -2) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (+.f64 (neg.f64 lambda1) (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) (*.f64 (sin.f64 lambda2) (sin.f64 (+.f64 (neg.f64 lambda1) (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) lambda1))) (*.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (PI.f64)) (cos.f64 (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2))) (*.f64 (sin.f64 (PI.f64)) (sin.f64 (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (+.f64 lambda1 lambda1)))) (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (+.f64 lambda1 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 (+.f64 lambda2 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) (*.f64 (sin.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 lambda2 lambda2)) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (+.f64 lambda1 lambda2)))) (*.f64 (sin.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (+.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 lambda1 -2)) (cos.f64 (+.f64 (+.f64 lambda1 lambda2) (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) (*.f64 (sin.f64 (*.f64 lambda1 -2)) (sin.f64 (+.f64 (+.f64 lambda1 lambda2) (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2)) (cos.f64 (PI.f64))) (*.f64 (sin.f64 (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2)) (sin.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda1 lambda2))) (cos.f64 (-.f64 (+.f64 lambda2 lambda2) (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2)))) (*.f64 (sin.f64 (neg.f64 (+.f64 lambda1 lambda2))) (sin.f64 (-.f64 (+.f64 lambda2 lambda2) (*.f64 (+.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (cos.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (*.f64 lambda1 4)))) (*.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (sin.f64 (-.f64 (*.f64 1/2 (+.f64 (-.f64 lambda1 lambda2) (PI.f64))) (*.f64 lambda1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (-.f64 (+.f64 1 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 0)) (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 0 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 0 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2))))))

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

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

simplify199.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational_best-simplify-49`
1156×	`rational_best-simplify-1`
988×	`rational_best-simplify-46`
764×	`rational_best-simplify-2`
758×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	379	6754
1	870	6542
2	1900	6506
3	4239	6378

Stop Event

1×	node limit

Counts

126 → 214

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 (.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 (.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)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
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(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)) -1)
(pow.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)))) 1)
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 0)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 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))))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/48 (pow.f64 lambda1 3))))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(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 (neg.f64 lambda1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(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 (neg.f64 lambda1))))
(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 (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 lambda2 (.f64 -1/2 (cos.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) (.f64 -1/8 (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 1/2 lambda1))))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (*.f64 -1/8 (pow.f64 lambda2 2))))
(+.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)))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 -1/8 (sin.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 1/48 (pow.f64 lambda2 3))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 1/48 (pow.f64 lambda2 3)) (.f64 -1/2 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))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 (pow.f64 phi1 2) (.f64 -1 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 (pow.f64 phi1 2) (neg.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (-.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 4)) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 (pow.f64 phi1 2) (.f64 -1 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 6))) (+.f64 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 4)) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (+.f64 1 (.f64 (pow.f64 phi1 2) (.f64 -1 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)) (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (.f64 -1 (pow.f64 phi1 6))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)) (neg.f64 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (pow.f64 phi1 6))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (+.f64 1 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4))) (.f64 -1 (+.f64 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (pow.f64 phi1 6)) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)) (.f64 -1 (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (pow.f64 phi1 6)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) 1) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (neg.f64 lambda1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (neg.f64 (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 1 (.f64 -1 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (+.f64 1 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))))) (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4)) (.f64 (pow.f64 lambda1 2) (cos.f64 phi1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 1 (+.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 phi1) (pow.f64 lambda1 3)))) (.f64 -1 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi1))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/24 (cos.f64 (.f64 -1/2 lambda2)))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (cos.f64 (.f64 -1/2 lambda2)))))))) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
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(/.f64 (-.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -2)
(/.f64 (-.f64 0 (+.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) -2)
(.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) -1/2)
(/.f64 (+.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) 2)
(.f64 (cos.f64 0) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))))
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2))) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 2)
(/.f64 (-.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(cos.f64 (*.f64 (-.f64 (-.f64 lambda1 lambda2) (PI.f64)) -1/2))
(cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda1 lambda2) (PI.f64))))
(+.f64 1 (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.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)))) 0)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(+.f64 0 (-.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 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(+.f64 (neg.f64 (+.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)))) 1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(.f64 1 (-.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 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(.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)))) 1)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)) -1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(/.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)))) 1)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)) -1)
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(pow.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)))) 1)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1)))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(neg.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 0)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 0)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)

localize496.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	18.3b	(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
✓	18.4b	(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
✓	29.3b	(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))

Compiler

Compiled 755 to 534 computations (29.3% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Expression
2.0ms	lambda1	@	(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))
1.0ms	lambda2	@	(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
0.0ms	lambda2	@	(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
0.0ms	lambda1	@	(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
0.0ms	lambda1	@	(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`rational_best-1`
1938×	`rational_best-4`
1938×	`rational_best-2`
1938×	`rational_best-3`
710×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	128	59
2	279	45
3	612	45
4	1778	45
5	5633	45

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (neg.f64 (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))) (-.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) (*.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (*.f64 (cos.f64 (-.f64 (*.f64 lambda1 3) lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))) (-.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) (*.f64 2 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))) (-.f64 0 (*.f64 (sin.f64 lambda2) (*.f64 2 (sin.f64 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) -2) (-.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) (*.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))) (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3)))) (-.f64 (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) (neg.f64 (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -3)))) 1/2) (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (*.f64 1/2 (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (sin.f64 (+.f64 lambda2 (*.f64 lambda1 -3)))) (-.f64 (+.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -3)))) (*.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -3))) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3))))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3))))) (*.f64 (cos.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (*.f64 lambda1 3)))) (cos.f64 (*.f64 2 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))) (*.f64 (sin.f64 (*.f64 2 (neg.f64 (+.f64 lambda2 (*.f64 lambda1 3))))) (-.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 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simplify171.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational_best-simplify-2`
1062×	`rational_best-simplify-50`
796×	`rational_best-simplify-51`
580×	`rational_best-simplify-1`
560×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	357	5739
1	801	5427
2	1702	5293
3	4591	5229
4	7529	5171

Stop Event

1×	node limit

Counts

179 → 245

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1)))
(+.f64 (.f64 -8 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 2))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) lambda1))))
(+.f64 (.f64 -8 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 2))) (+.f64 (.f64 -32/3 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1)))))
(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 lambda1)))
(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 lambda1)))
(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 lambda1)))
(cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 lambda1)))
(cos.f64 (+.f64 (.f64 -4 lambda1) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -4 lambda1) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -4 lambda1) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -4 lambda1) (.f64 1/2 (PI.f64))))
(cos.f64 (*.f64 3 lambda1))
(+.f64 (cos.f64 (.f64 3 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (.f64 3 lambda1)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 3 lambda1)))) (+.f64 (cos.f64 (.f64 3 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (*.f64 3 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 3 lambda1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (.f64 3 lambda1)))) (+.f64 (cos.f64 (.f64 3 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (.f64 3 lambda1)))))))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(cos.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(cos.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(cos.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (.f64 -3 (.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -9/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (cos.f64 lambda2) (.f64 -3 (.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -9/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (.f64 9/2 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (.f64 -3 (.f64 (sin.f64 lambda2) lambda1)))))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(cos.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(cos.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(cos.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(cos.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(sin.f64 (*.f64 3 lambda1))
(+.f64 (sin.f64 (.f64 3 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 3 lambda1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 3 lambda1)))) (+.f64 (sin.f64 (.f64 3 lambda1)) (.f64 lambda2 (cos.f64 (.f64 3 lambda1)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 3 lambda1)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 3 lambda1)))) (+.f64 (sin.f64 (.f64 3 lambda1)) (.f64 lambda2 (cos.f64 (*.f64 3 lambda1))))))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(sin.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(sin.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(sin.f64 (-.f64 (.f64 3 lambda1) (.f64 -1 lambda2)))
(sin.f64 lambda2)
(+.f64 (.f64 3 (.f64 (cos.f64 lambda2) lambda1)) (sin.f64 lambda2))
(+.f64 (.f64 3 (.f64 (cos.f64 lambda2) lambda1)) (+.f64 (sin.f64 lambda2) (.f64 -9/2 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -9/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (.f64 3 (.f64 (cos.f64 lambda2) lambda1)) (+.f64 (sin.f64 lambda2) (.f64 -9/2 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 2))))))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (+.f64 lambda2 (*.f64 3 lambda1)))
(sin.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(sin.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(sin.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(sin.f64 (-.f64 lambda2 (*.f64 -3 lambda1)))
(+.f64 (sin.f64 (*.f64 lambda1 4)) 0)
(+.f64 0 (sin.f64 (*.f64 lambda1 4)))
(+.f64 (sin.f64 (.f64 lambda1 -4)) (.f64 (sin.f64 (*.f64 lambda1 4)) 2))
(-.f64 (sin.f64 (*.f64 lambda1 4)) 0)
(-.f64 0 (sin.f64 (*.f64 lambda1 -4)))
(-.f64 0 (/.f64 (sin.f64 (*.f64 lambda1 4)) -1))
(-.f64 0 (/.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2) -2))
(-.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2) (sin.f64 (*.f64 lambda1 4)))
(-.f64 (sin.f64 (.f64 lambda1 -4)) (neg.f64 (.f64 (sin.f64 (*.f64 lambda1 4)) 2)))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2) (.f64 (sin.f64 (.f64 lambda1 4)) 2)) (+.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2) (sin.f64 (*.f64 lambda1 4))))
(-.f64 (.f64 (sin.f64 (.f64 lambda1 -4)) (cos.f64 (.f64 8 (neg.f64 lambda1)))) (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 lambda1 4))) (sin.f64 (.f64 8 (neg.f64 lambda1)))))
(.f64 (sin.f64 (.f64 lambda1 4)) 1)
(.f64 (sin.f64 (.f64 lambda1 4)) (cos.f64 0))
(.f64 (sin.f64 (.f64 lambda1 4)) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (sin.f64 (.f64 lambda1 4)) (-.f64 2 (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 lambda1 4)))
(.f64 2 (.f64 (sin.f64 (*.f64 lambda1 4)) 1/2))
(.f64 (cos.f64 0) (sin.f64 (.f64 lambda1 4)))
(.f64 (.f64 (sin.f64 (*.f64 lambda1 4)) 2) 1/2)
(/.f64 (sin.f64 (*.f64 lambda1 4)) 1)
(/.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2) 2)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 4)) 2)) -2)
(/.f64 (+.f64 (sin.f64 (.f64 lambda1 4)) (cos.f64 (+.f64 (.f64 lambda1 4) (*.f64 (PI.f64) -1/2)))) 2)
(/.f64 (sin.f64 (*.f64 lambda1 -4)) -1)
(pow.f64 (sin.f64 (*.f64 lambda1 4)) 1)
(neg.f64 (sin.f64 (*.f64 lambda1 -4)))
(sin.f64 (*.f64 lambda1 4))
(+.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(+.f64 0 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))))
(+.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))))
(+.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2))
(+.f64 (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))))
(+.f64 (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)) 1/2)))
(+.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3))))))
(+.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (-.f64 0 (.f64 (sin.f64 lambda2) (.f64 2 (sin.f64 (*.f64 lambda1 3))))))
(+.f64 (/.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) -2) (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))))))
(+.f64 (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))))
(+.f64 (neg.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))))))
(+.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 1/2) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 1/2 (.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))))))
(+.f64 (.f64 (sin.f64 0) (sin.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (-.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 0))))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))))
(+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (cos.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))))
(+.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (.f64 lambda1 3)))) (cos.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))) (.f64 (sin.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (-.f64 0 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))))
(-.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))))
(-.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)))
(-.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 -3))))
(-.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (neg.f64 (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)))
(-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (/.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) -2))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (-.f64 (.f64 (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)) 1/2) (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))))
(-.f64 (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (.f64 (sin.f64 lambda2) (.f64 2 (sin.f64 (*.f64 lambda1 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (-.f64 (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)))
(-.f64 (/.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) -2) (-.f64 (.f64 1/2 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)))
(-.f64 (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (neg.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))))
(-.f64 (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (-.f64 0 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))))
(-.f64 (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2))
(-.f64 (neg.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (-.f64 (neg.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)))
(-.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 1/2) (-.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (.f64 (cos.f64 lambda2) (cos.f64 (*.f64 lambda1 3)))))
(-.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 1/2) (/.f64 (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2))
(-.f64 (.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 2) (+.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))))
(-.f64 (.f64 (sin.f64 0) (sin.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (-.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))))
(-.f64 (/.f64 (.f64 (sin.f64 lambda2) (.f64 2 (sin.f64 (.f64 lambda1 3)))) -1) (/.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3)))) -1))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 2) 2) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))) 2))
(-.f64 (/.f64 (.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) 2) -2) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))) -2))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))))) (+.f64 (.f64 2 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (.f64 (sin.f64 lambda2) (sin.f64 (*.f64 lambda1 3))))))
(-.f64 (+.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)) (+.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 1)
(.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 0))
(.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (-.f64 2 (cos.f64 0)))
(.f64 1 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(.f64 2 (.f64 1/2 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(.f64 (cos.f64 0) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) -1)
(.f64 (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) 1/2)
(.f64 (neg.f64 (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)) -1/2)
(/.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(/.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) -1)
(/.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) 2)
(/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)) -2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)))) -2)
(/.f64 (-.f64 (-.f64 (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) -2)
(/.f64 (+.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2)
(/.f64 (+.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) 2)
(pow.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (*.f64 lambda1 3))))
(+.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(+.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 3)) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 (.f64 lambda1 3))))
(+.f64 (.f64 (cos.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (.f64 (cos.f64 (.f64 lambda1 3)) (sin.f64 lambda2)))
(-.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(-.f64 0 (-.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(-.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))))
(-.f64 (.f64 (-.f64 0 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (cos.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))) (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))))
(.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 1)
(.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 0))
(.f64 1 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(.f64 2 (/.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2))
(.f64 (cos.f64 0) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(.f64 (.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) 1/2)
(/.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(/.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) 2)
(/.f64 (-.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) -1)
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 (PI.f64) -1/2)))) 2)
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2)))) (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)) -2)
(/.f64 (-.f64 0 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)) -2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))))) -2)
(/.f64 (-.f64 0 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 (PI.f64) -1/2))))) -2)
(pow.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (*.f64 lambda1 3))))

Outputs
(cos.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1)))
(+.f64 (.f64 -8 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 2))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) lambda1))))
(+.f64 (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1)) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (*.f64 -8 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -8 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 2))) (+.f64 (.f64 -32/3 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1)))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -32/3 (pow.f64 lambda1 3))) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 -8 (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 4 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 -8 (pow.f64 lambda1 2))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (.f64 -32/3 (pow.f64 lambda1 3)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 -8 (pow.f64 lambda1 2))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -32/3 (pow.f64 lambda1 3)) (.f64 4 lambda1)))))
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(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 (neg.f64 (.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)) -1/2)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) -1)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) 2)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)) -2)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)))) -2)
(-.f64 (.f64 (cos.f64 (.f64 lambda1 3)) (cos.f64 lambda2)) (/.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) 2))
(/.f64 (-.f64 (-.f64 (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) -2)
(-.f64 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 3)) (sin.f64 lambda2))) (/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2))
(-.f64 (.f64 (sin.f64 (.f64 lambda1 3)) (neg.f64 (sin.f64 lambda2))) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) -2))
(-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 2) (.f64 (sin.f64 (.f64 lambda1 3)) (sin.f64 lambda2)))
(/.f64 (+.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2)
(-.f64 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 3)) (sin.f64 lambda2))) (/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2))
(-.f64 (.f64 (sin.f64 (.f64 lambda1 3)) (neg.f64 (sin.f64 lambda2))) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) -2))
(-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 2) (.f64 (sin.f64 (.f64 lambda1 3)) (sin.f64 lambda2)))
(/.f64 (+.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 lambda1 3) lambda2)))) -2)
(-.f64 (.f64 (cos.f64 (.f64 lambda1 3)) (cos.f64 lambda2)) (/.f64 (-.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 3)))) 2))
(/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) 2)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(pow.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(neg.f64 (neg.f64 (cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (*.f64 lambda1 3))))
(cos.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(+.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(+.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 3)) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 (.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(+.f64 (.f64 (cos.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (.f64 (cos.f64 (.f64 lambda1 3)) (sin.f64 lambda2)))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(-.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 0)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(-.f64 0 (-.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(-.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(-.f64 (.f64 (-.f64 0 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (cos.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))) (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))))
(-.f64 (.f64 (cos.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (.f64 2 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3)))))))
(-.f64 (.f64 (cos.f64 (.f64 (+.f64 lambda2 (.f64 lambda1 3)) -2)) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (.f64 (+.f64 lambda2 (.f64 lambda1 3)) -2))))
(-.f64 (.f64 (cos.f64 (.f64 -2 (+.f64 lambda2 (.f64 lambda1 3)))) (neg.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (.f64 -2 (+.f64 lambda2 (.f64 lambda1 3))))))
(cos.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 3))) 1)))
(.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 1)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 0))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 1 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 2 (/.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 (cos.f64 0) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(.f64 (.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2) 1/2)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) 2)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (-.f64 0 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))) -1)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 (PI.f64) -1/2)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (*.f64 lambda1 3))))) 2)
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2) (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (-.f64 (.f64 2 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (*.f64 lambda1 3)))))) 2)
(-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (/.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) 2))
(-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (/.f64 (-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3))))) -2))
(/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 3)) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2)))) (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))))) 2)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 2)) -2)
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (-.f64 (.f64 2 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (*.f64 lambda1 3)))))) 2)
(-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (/.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3)))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) 2))
(-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (/.f64 (-.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3))))) -2))
(/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (.f64 lambda1 3))))) (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 3)) 2)
(/.f64 (-.f64 0 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) 2)) -2)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))) (sin.f64 (+.f64 lambda2 (.f64 lambda1 3)))) (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 (PI.f64) -1/2))))) -2)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(/.f64 (-.f64 0 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 (PI.f64) -1/2))))) -2)
(/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (+.f64 lambda2 (*.f64 lambda1 3))))) 2)
(pow.f64 (sin.f64 (+.f64 lambda2 (*.f64 lambda1 3))) 1)
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 lambda2 (*.f64 lambda1 3))))
(sin.f64 (+.f64 lambda2 (*.f64 lambda1 3)))

eval3.4s (2.3%)

Compiler: Compiled 189283 to 126289 computations (33.3% saved)

prune3.4s (2.2%)

Pruning

205 alts after pruning (205 fresh and 0 done)

	Pruned	Kept	Total
New	2167	97	2264
Fresh	30	108	138
Picked	1	0	1
Done	4	0	4
Total	2202	205	2407

Error

11.7b

Counts

2407 → 205

Alt Table

Click to see full alt table

Status	Error	Program
	26.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2)) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	50.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	43.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.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 -1/8 (pow.f64 phi2 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	49.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	49.1b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	34.4b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (+.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	36.6b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 lambda1) 2))))))) (*.f64 R 2))
	49.5b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	39.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	38.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (-.f64 phi2 phi1))) (-.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) (cos.f64 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	48.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (+.f64 phi2 phi1) (-.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (+.f64 phi1 phi1))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	52.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2))))))) (*.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	35.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	36.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (*.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
▶	45.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	51.7b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	32.8b	(.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 1/2 (.f64 1/2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	47.2b	(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.2b	(.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 -1/2 (.f64 lambda2 (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	38.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	43.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	51.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	39.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (-.f64 (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2)) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 phi1 (-.f64 (PI.f64) phi2)) 2))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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	38.4b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))) (cos.f64 phi2))))))))
	38.5b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 (.f64 1/2 (PI.f64)))))) 2)))) (cos.f64 phi2))))))))
	46.3b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
	46.8b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 lambda2 lambda2))) (.f64 (cos.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 lambda2 lambda1))))))) (cos.f64 phi2))))))))
	46.5b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 lambda1 lambda1))) (.f64 (cos.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 (.f64 lambda1 -2) (*.f64 1/2 (PI.f64)))))))) (cos.f64 phi2))))))))
	38.9b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -2)) (sin.f64 (-.f64 (neg.f64 lambda2) lambda1))) (.f64 (cos.f64 (-.f64 (neg.f64 lambda2) lambda1)) (sin.f64 (+.f64 (+.f64 lambda2 lambda2) (*.f64 1/2 (PI.f64)))))))) (cos.f64 phi2))))))))
	39.1b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 (neg.f64 lambda1))) (.f64 (cos.f64 (neg.f64 lambda1)) (sin.f64 (+.f64 lambda2 (.f64 1/2 (PI.f64)))))))) (cos.f64 phi2))))))))
	42.1b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
	46.4b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
	44.6b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (cos.f64 phi2))))))))
	38.6b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -2))))) (cos.f64 phi2))))))))
	38.7b	(.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 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	38.6b	(.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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	48.5b	(.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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	36.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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))))))))
	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	48.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
	37.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
▶	41.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	45.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	52.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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))))))))
	46.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	48.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2)))) (.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 30776 to 23118 computations (24.9% saved)

localize270.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1))
✓	1.5b	(-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 662 to 425 computations (35.8% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

2040×	`rational_best-1`
2036×	`rational_best-4`
2036×	`rational_best-2`
2036×	`rational_best-3`
2032×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	142
1	210	142
2	384	142
3	805	142
4	1738	142
5	4890	142

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify171.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1184×	`rational_best-simplify-49`
1076×	`rational_best-simplify-2`
1036×	`rational_best-simplify-1`
1000×	`rational_best-simplify-46`
980×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	247	8564
1	575	8466
2	1085	8378
3	1990	8266
4	3241	8154
5	4654	8134

Stop Event

1×	node limit

Counts

90 → 158

Calls

Call 1

Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (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 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.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))))) (pow.f64 phi1 3)) (+.f64 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) (+.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 phi2 2))))) 1)
(-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))) (+.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 phi2 2)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1)))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))) (cos.f64 phi1)))) 1)
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(.f64 (-.f64 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) -1)
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) -1)
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(neg.f64 (-.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 0)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 1)
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)
(.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)
(pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (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 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.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 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/12 (pow.f64 lambda1 3)))) (+.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/12 (pow.f64 lambda1 3)) (.f64 1/2 lambda1))) (+.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))))) (.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 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 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 lambda2 -1/2))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (+.f64 1/2 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (+.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 lambda2 -1/2))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (+.f64 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1))) (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2)))) (+.f64 1/2 (.f64 1/12 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (+.f64 1/2 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (.f64 1/12 (pow.f64 lambda2 3))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (+.f64 1/2 (.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)))) (.f64 (sin.f64 lambda1) (.f64 1/12 (pow.f64 lambda2 3))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/12 (pow.f64 lambda2 3)) (.f64 lambda2 -1/2))))) (.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 -1/2) (.f64 1/12 (pow.f64 lambda2 3)))))) (.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 1/2 (.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 -1/2) (.f64 1/12 (pow.f64 lambda2 3)))))) (.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))
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(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
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(-.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2)) 1)
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(-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2)) 1)
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(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))))) 1)
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(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi1)) (+.f64 (.f64 lambda2 -1/2) (.f64 1/12 (pow.f64 lambda2 3)))))) (+.f64 -1 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
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(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)
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(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize124.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 1/2 (/.f64 (cos.f64 lambda1) 2))
	1.5b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
✓	5.5b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2))))))

Compiler

Compiled 326 to 204 computations (37.4% saved)

series12.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational_best-2`
1898×	`rational_best-3`
1898×	`rational_best-1`
844×	`rational_best-4`
840×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	139	63
2	241	63
3	420	63
4	955	63
5	2411	63
6	6880	63

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify177.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational_best-simplify-49`
1494×	`rational_best-simplify-46`
1404×	`rational_best-simplify-47`
1080×	`rational_best-simplify-53`
1038×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	145	5093
1	298	5075
2	505	4991
3	853	4831
4	1349	4699
5	1966	4685
6	2468	4685
7	3647	4685
8	7902	4685

Stop Event

1×	node limit

Counts

43 → 80

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) 2) 1/48))))) (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) 2) 1/48))))) (+.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (.f64 1/2 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))) 2) 1/48))) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))))) (pow.f64 phi2 6)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/720 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))) (pow.f64 phi1 6)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 -1/2 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 phi2)))) 2)) (pow.f64 lambda1 4)) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.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 phi2)))) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 lambda1 6)) (sin.f64 (.f64 -1/2 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 phi2)))) 2)) (pow.f64 lambda1 4)) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) 0)
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) 1)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) 1)

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

localize151.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	17.5b	(cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))

Compiler

Compiled 384 to 208 computations (45.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-2`
1170×	`rational_best-1`
1166×	`rational_best-3`
1164×	`rational_best-4`
1162×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	76	25
2	122	25
3	200	25
4	379	25
5	796	25
6	1843	25
7	5605	25

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3)) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) (cos.f64 (neg.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) (*.f64 (sin.f64 (*.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1)) -1/2)) (sin.f64 (neg.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1)) -1/2)) (sin.f64 (neg.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) (cos.f64 (neg.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) (*.f64 1/2 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 (-.f64 (PI.f64) phi1)) -1/2)) (cos.f64 (*.f64 (PI.f64) -1/2))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) (sin.f64 (*.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (cos.f64 (*.f64 2 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))) (*.f64 (cos.f64 (*.f64 1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (sin.f64 (*.f64 2 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (cos.f64 (*.f64 (PI.f64) -1/2))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) (sin.f64 (*.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (cos.f64 (neg.f64 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (sin.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3) (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3/2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3/2)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 3/2) (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))) (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))) (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1))))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))))) (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 (PI.f64) (*.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))))))))

simplify196.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best-simplify-2`
886×	`rational_best-simplify-44`
768×	`rational_best-simplify-49`
684×	`rational_best-simplify-46`
636×	`rational_best-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	190	3866
1	379	3642
2	976	3618
3	2770	3570
4	5901	3348
5	7484	3348

Stop Event

1×	node limit

Counts

86 → 144

Calls

Call 1

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

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

localize246.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.7b	(cos.f64 (-.f64 lambda1 lambda2))
	2.7b	(cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1))
✓	2.8b	(sin.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
✓	3.0b	(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))

Compiler

Compiled 573 to 345 computations (39.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best-simplify-51`
970×	`rational_best-1`
968×	`rational_best-4`
968×	`rational_best-2`
968×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	70	34
2	134	34
3	215	34
4	423	34
5	1074	34
6	3372	34

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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simplify163.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-2`
880×	`rational_best-simplify-49`
856×	`rational_best-simplify-1`
784×	`rational_best-simplify-50`
742×	`rational_best-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	449	8851
1	1054	8701
2	3052	8429
3	7706	8381

Stop Event

1×	node limit

Counts

189 → 319

Calls

Call 1

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

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

localize244.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))
	2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 595 to 368 computations (38.2% saved)

series23.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	phi1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))
1.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))
1.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))
1.0ms	lambda1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))

rewrite61.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational_best-1`
1300×	`rational_best-4`
1300×	`rational_best-2`
1300×	`rational_best-3`
1300×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	129
1	229	129
2	479	129
3	1149	129
4	3077	129

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs

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

Outputs

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

simplify166.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-1`
1160×	`rational_best-simplify-48`
926×	`rational_best-simplify-54`
828×	`rational_best-simplify-52`
700×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	205	8690
1	475	8554
2	1016	8512
3	1943	8402
4	2700	8356
5	4665	8356

Stop Event

1×	node limit

Counts

60 → 106

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.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 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.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 (+.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 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.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)))))) (.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.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 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.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)))))) (.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) 1) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2)))) 2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (+.f64 1 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (+.f64 (.f64 -1/48 (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/16 (sin.f64 (.f64 -1/2 lambda2))))))))))) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(-.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 1 (+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))) (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))
(+.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))))
(+.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) 0)
(+.f64 0 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))))
(+.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) 1)
(.f64 1 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 lambda1))))))))
(.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 lambda1))))))) 1)
(.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 lambda1)))))) -1) -1)
(.f64 -1 (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 lambda1)))))) -1))
(/.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) 1)
(/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))) -1) -1)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) 1)
(neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))) -1))

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

eval4.9s (3.3%)

Compiler: Compiled 195996 to 127425 computations (35% saved)

prune3.3s (2.2%)

Pruning

248 alts after pruning (248 fresh and 0 done)

	Pruned	Kept	Total
New	2239	102	2341
Fresh	54	146	200
Picked	1	0	1
Done	4	0	4
Total	2298	248	2546

Error

11.5b

Counts

2546 → 248

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	48.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	45.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	43.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	47.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.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 -1/8 (pow.f64 phi2 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	49.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	44.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	35.5b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	45.8b	(.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 1/2 (/.f64 (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 2 (cos.f64 (-.f64 lambda1 lambda2))))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	45.2b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	49.1b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	34.4b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (+.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	36.6b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 lambda1) 2))))))) (*.f64 R 2))
	49.5b	(.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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.8b	(.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 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	39.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	38.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 R 2))
	43.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 (+.f64 (-.f64 (PI.f64) phi1) phi2)) (PI.f64))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 (PI.f64) phi1) phi2)))) -2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	43.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 (neg.f64 phi1)))) (cos.f64 (-.f64 (.f64 1/2 (+.f64 (-.f64 (PI.f64) phi1) phi2)) (PI.f64)))) -2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	48.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (+.f64 phi2 phi1) (-.f64 (.f64 1/2 (+.f64 (PI.f64) (-.f64 phi1 phi2))) (+.f64 phi1 phi1))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) -1/2)) (sin.f64 (neg.f64 (PI.f64))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	26.0b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 3) (.f64 (sin.f64 (.f64 -1/2 (neg.f64 (+.f64 phi2 (neg.f64 phi1))))) 4)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	35.2b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.1b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	25.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2))))))) (*.f64 R 2))
	25.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
	35.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2))))))) (.f64 R 2))
	36.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (*.f64 R 2))
	34.8b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.f64 R 2))
	35.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	44.7b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (PI.f64) phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	50.4b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2))))))) (*.f64 R 2))
	47.9b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (.f64 R 2))
	46.6b	(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2))))))) (.f64 R 2))
	49.3b	(.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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	47.5b	(.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 1/2 (/.f64 (cos.f64 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	32.8b	(.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 1/2 (.f64 1/2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	47.2b	(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	46.2b	(.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 -1/2 (.f64 lambda2 (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	38.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	47.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	43.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	51.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	37.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	48.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	50.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	46.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
	48.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
	55.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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	52.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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))))))))
	46.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	48.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2)))) (.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)))))))))
	53.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	56.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))

Compiler

Compiled 18626 to 14009 computations (24.8% saved)

regimes5.3s (3.5%)

Counts

369 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) (.f64 -1/2 (+.f64 phi1 phi2)))))) (.f64 (sin.f64 (+.f64 phi2 (+.f64 phi1 (.f64 1/2 (PI.f64))))) (sin.f64 (neg.f64 (-.f64 (PI.f64) (.f64 -1/2 (+.f64 phi1 phi2))))))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (neg.f64 lambda2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (neg.f64 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 -1/2)) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 2))) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))))) (+.f64 -1 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda1 -2)))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda2 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 lambda2 -2)))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 (PI.f64)) lambda2)))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3))))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3))))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3)))) 1/2) (/.f64 (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 (.f64 lambda1 3))) (+.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (+.f64 lambda2 (.f64 lambda1 -3))))) 2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) lambda1)))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (sin.f64 (+.f64 lambda2 lambda2))) (.f64 (cos.f64 (+.f64 lambda2 lambda2)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda2 lambda1))))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 (/.f64 (PI.f64) -2))) (.f64 (sin.f64 (-.f64 lambda1 (-.f64 lambda2 (*.f64 1/2 (PI.f64))))) (sin.f64 (/.f64 (PI.f64) -2)))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (-.f64 (.f64 (sin.f64 (+.f64 lambda2 lambda1)) (cos.f64 (+.f64 (+.f64 lambda1 lambda1) (/.f64 (PI.f64) -2)))) (.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 lambda2 lambda1))) (sin.f64 (+.f64 (+.f64 lambda1 lambda1) (/.f64 (PI.f64) -2))))) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (.f64 lambda1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 1/2)))) -1)))))))

Calls

12 calls:

551.0ms	(.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))))))))
499.0ms	lambda1
418.0ms	(+.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))))
397.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
392.0ms	phi2

Results

Error	Segments	Branch
13.1b	1	`R`
13.1b	1	`lambda1`
13.1b	1	`lambda2`
13.1b	1	`phi1`
13.1b	1	`phi2`
13.1b	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)))))))))`
13.1b	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))))))))`
13.1b	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)))))))`
13.1b	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))))`
13.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 26488 to 16857 computations (36.4% saved)

regimes4.7s (3.2%)

Counts

354 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (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 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) (.f64 -1/2 (+.f64 phi1 phi2)))))) (.f64 (sin.f64 (+.f64 phi2 (+.f64 phi1 (.f64 1/2 (PI.f64))))) (sin.f64 (neg.f64 (-.f64 (PI.f64) (.f64 -1/2 (+.f64 phi1 phi2))))))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (neg.f64 lambda2)))))))))))

Outputs

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

Calls

12 calls:

432.0ms	(-.f64 lambda1 lambda2)
424.0ms	R
381.0ms	phi1
363.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
349.0ms	(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)))))))

Results

Error	Segments	Branch
13.5b	1	`R`
13.5b	1	`lambda1`
13.5b	1	`lambda2`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	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)))))))))`
13.5b	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))))))))`
13.5b	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)))))))`
13.5b	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))))`
13.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 24911 to 15802 computations (36.6% saved)

regimes5.0s (3.3%)

Counts

327 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
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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)) (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 (PI.f64)) lambda2)))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 lambda1 3)) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 (.f64 lambda1 3)))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 (PI.f64)) lambda2)))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs

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

Calls

12 calls:

546.0ms	lambda1
461.0ms	(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)))))))
427.0ms	(+.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))))
421.0ms	lambda2
345.0ms	(.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
13.5b	1	`R`
13.5b	1	`lambda1`
13.5b	1	`lambda2`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	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)))))))))`
13.5b	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))))))))`
13.5b	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)))))))`
13.5b	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))))`
13.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 22419 to 14132 computations (37% saved)

regimes5.8s (3.9%)

Counts

324 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) 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 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) 1))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))))))
(.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 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) (cos.f64 (.f64 1/2 (-.f64 (-.f64 lambda1 (PI.f64)) lambda2)))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))

Outputs

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

Calls

12 calls:

666.0ms	(+.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))))
494.0ms	(.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)))))))))
466.0ms	(.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))))))))
447.0ms	lambda2
440.0ms	phi2

Results

Error	Segments	Branch
13.5b	1	`R`
13.5b	1	`lambda1`
13.5b	1	`lambda2`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	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)))))))))`
13.5b	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))))))))`
13.5b	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)))))))`
13.5b	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))))`
13.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 22155 to 13957 computations (37% saved)

regimes3.4s (2.3%)

Counts

322 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) 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 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) 1))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Calls

12 calls:

227.0ms	(.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))))))))
227.0ms	lambda1
226.0ms	(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)))))))
226.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
223.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
14.1b	1	`R`
14.1b	1	`lambda1`
14.1b	1	`lambda2`
14.1b	1	`phi1`
14.1b	1	`phi2`
14.1b	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)))))))))`
14.1b	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))))))))`
14.1b	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)))))))`
14.1b	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))))`
14.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
14.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
14.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21982 to 13845 computations (37% saved)

regimes9.2s (6.1%)

Counts

321 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)))) -1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) 1))))))

Outputs

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

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

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

Calls

12 calls:

950.0ms	R
793.0ms	(.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)))))))))
793.0ms	(-.f64 lambda1 lambda2)
785.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
782.0ms	(+.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))))

Results

Error	Segments	Branch
21.3b	4	`R`
13.9b	3	`lambda1`
13.8b	3	`lambda2`
18.2b	3	`phi1`
19.3b	3	`phi2`
20.7b	4	`(.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)))))))))`
20.6b	3	`(.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))))))))`
20.6b	3	`(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)))))))`
21.0b	3	`(+.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))))`
20.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
20.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
20.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21896 to 13788 computations (37% saved)

bsearch511.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
296.0ms	63644402148668.58	1.0775097081350366e+24
203.0ms	-2.2385323080286486e-5	-7.178616154862905e-7

Results

382.0ms	178×	body	1024	valid
63.0ms	49×	body	512	valid
25.0ms	43×	body	256	valid
11.0ms	2×	body	2048	valid
2.0ms	1×	body	1024	infinite

Compiler

Compiled 3172 to 2433 computations (23.3% saved)

regimes11.0s (7.4%)

Counts

319 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))))))

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

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

Calls

12 calls:

1.9s	(.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)))))))))
957.0ms	lambda1
941.0ms	phi1
908.0ms	lambda2
893.0ms	R

Results

Error	Segments	Branch
23.1b	3	`R`
17.1b	3	`lambda1`
20.1b	3	`lambda2`
19.1b	3	`phi1`
20.0b	3	`phi2`
21.3b	4	`(.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)))))))))`
22.0b	2	`(.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))))))))`
22.0b	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)))))))`
22.5b	2	`(+.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))))`
20.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
20.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
20.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21726 to 13670 computations (37.1% saved)

bsearch475.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
268.0ms	3.8692278015067576e-16	0.004435785269594857
197.0ms	-2454543733890567.5	-17491076118201.264

Results

335.0ms	160×	body	1024	valid
73.0ms	61×	body	512	valid
27.0ms	45×	body	256	valid
19.0ms	6×	body	2048	valid

Compiler

Compiled 2934 to 2229 computations (24% saved)

regimes10.6s (7%)

Counts

318 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -2))))) (cos.f64 phi2))))))))
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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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (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 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 1/2 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))))))))))
(.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 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) 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 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (neg.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (cos.f64 phi1))) (+.f64 -1 (*.f64 phi2 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))))))))))

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

Calls

12 calls:

1.6s	lambda1
1.3s	phi2
1.2s	(/.f64 (-.f64 lambda1 lambda2) 2)
1.0s	(-.f64 lambda1 lambda2)
962.0ms	lambda2

Results

Error	Segments	Branch
24.3b	1	`R`
22.1b	3	`lambda1`
23.1b	3	`lambda2`
20.4b	3	`phi1`
20.0b	3	`phi2`
24.3b	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)))))))))`
23.3b	2	`(.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))))))))`
23.3b	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)))))))`
23.2b	2	`(+.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))))`
20.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
20.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
20.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21641 to 13611 computations (37.1% saved)

bsearch459.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	3.371407854333344e-6	4.0356004129071555e-6
341.0ms	-6.490839086894231e-5	-7.126703191785353e-10

Results

342.0ms	115×	body	1024	valid
49.0ms	44×	body	512	valid
33.0ms	29×	body	256	valid
12.0ms	4×	body	2048	valid

Compiler

Compiled 2202 to 1673 computations (24% saved)

regimes9.6s (6.4%)

Counts

315 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (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 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 -1/2))) (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2)))) 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 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))))

Calls

12 calls:

2.0s	(-.f64 lambda1 lambda2)
1.9s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.1s	phi2
942.0ms	lambda2
736.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
24.3b	1	`R`
22.1b	3	`lambda1`
23.1b	3	`lambda2`
24.3b	1	`phi1`
20.6b	3	`phi2`
24.3b	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)))))))))`
24.3b	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))))))))`
24.3b	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)))))))`
24.3b	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))))`
20.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
20.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
20.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21392 to 13437 computations (37.2% saved)

bsearch9.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.454198578783046e-12	1.1192661539909548e-5
0.0ms	-0.07557113153934225	-0.0061254468372054

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes3.5s (2.3%)

Counts

314 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (.f64 1/2 (+.f64 lambda2 (-.f64 (PI.f64) lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.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)) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (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 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 1/2 (+.f64 lambda2 (-.f64 (PI.f64) lambda1)))))))))))
(.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 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) lambda1)))))) (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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) 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 (sin.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 1/2 (+.f64 phi1 (PI.f64))) (-.f64 (.f64 phi2 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 lambda1 -2))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (*.f64 lambda1 -2)))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (.f64 2 (neg.f64 lambda2)))) (.f64 (sin.f64 (+.f64 lambda1 lambda2)) (sin.f64 (.f64 2 (neg.f64 lambda2))))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 lambda1 4))))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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))))))))

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

Calls

12 calls:

406.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
336.0ms	lambda2
315.0ms	phi2
299.0ms	(+.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))))
271.0ms	(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)))))))

Results

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

Compiler

Compiled 21309 to 13379 computations (37.2% saved)

regimes3.0s (2%)

Counts

267 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (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 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 phi1 1/2)) 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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (.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 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 phi1 1/2)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (cos.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) -1/2)) (sin.f64 (neg.f64 (PI.f64))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 phi2 1/2))) (.f64 (sin.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 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 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))))

Outputs

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

Calls

12 calls:

462.0ms	phi2
299.0ms	phi1
298.0ms	(.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))))))))
251.0ms	R
201.0ms	lambda1

Results

Error	Segments	Branch
24.5b	1	`R`
24.5b	1	`lambda1`
24.5b	1	`lambda2`
24.5b	1	`phi1`
24.5b	1	`phi2`
24.5b	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)))))))))`
24.5b	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))))))))`
24.5b	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)))))))`
24.5b	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))))`
24.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17477 to 10971 computations (37.2% saved)

regimes2.0s (1.3%)

Counts

210 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) 2) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64))))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (+.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 -1/8 (pow.f64 phi2 2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (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 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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 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)) (fabs.f64 (-.f64 (.f64 1/2 (+.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (-.f64 lambda1 lambda2)))))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 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 1/2 (/.f64 (+.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 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi1 1/2)))) 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 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (cos.f64 (-.f64 (.f64 phi2 1/2) phi1))) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (PI.f64)))) (sin.f64 (-.f64 (.f64 phi2 1/2) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2)))) (.f64 (sin.f64 (.f64 phi1 -1/2)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 phi2 -1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) lambda1) (+.f64 lambda2 (.f64 1/2 (PI.f64)))))) 2)))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) 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 (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 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (cos.f64 (.f64 1/2 (-.f64 (PI.f64) (+.f64 phi2 phi1)))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 (PI.f64) (+.f64 phi1 phi2)))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 (PI.f64) (+.f64 phi2 phi1)))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (neg.f64 (cos.f64 (-.f64 (PI.f64) (.f64 -1/2 (+.f64 phi1 phi2))))) (sin.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 phi1))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 lambda2 (.f64 lambda1 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4)))) (.f64 (cos.f64 (+.f64 lambda2 (.f64 lambda1 3))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 lambda1 4))))))) (cos.f64 phi2))))))))

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

Calls

12 calls:

236.0ms	(+.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))))
116.0ms	(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)))))))
115.0ms	(.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)))))))))
113.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
112.0ms	phi2

Results

Error	Segments	Branch
25.1b	1	`R`
25.1b	1	`lambda1`
25.1b	1	`lambda2`
25.1b	1	`phi1`
25.1b	1	`phi2`
25.1b	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)))))))))`
25.1b	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))))))))`
25.1b	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)))))))`
25.1b	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))))`
25.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 13215 to 8262 computations (37.5% saved)

regimes2.0s (1.3%)

Counts

179 → 1

Calls

Call 1

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

Calls

12 calls:

389.0ms	phi2
275.0ms	R
195.0ms	lambda2
147.0ms	lambda1
90.0ms	(+.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))))

Results

Error	Segments	Branch
25.1b	1	`R`
25.1b	1	`lambda1`
25.1b	1	`lambda2`
25.1b	1	`phi1`
25.1b	1	`phi2`
25.1b	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)))))))))`
25.1b	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))))))))`
25.1b	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)))))))`
25.1b	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))))`
25.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 11003 to 6859 computations (37.7% saved)

regimes934.0ms (0.6%)

Counts

85 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
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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 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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (+.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 1/2 (/.f64 (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 1/2 (/.f64 (cos.f64 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (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 (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 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.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 (-.f64 1 (cos.f64 lambda1)) 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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))))))))))
(.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) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 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)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (+.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (+.f64 phi2 (PI.f64)))))) 2) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (PI.f64) phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) -1)))))))

Calls

8 calls:

213.0ms	R
91.0ms	lambda2
39.0ms	lambda1
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	phi2

Results

Error	Segments	Branch
25.6b	1	`R`
25.6b	1	`lambda1`
25.6b	1	`lambda2`
25.6b	1	`phi1`
25.6b	1	`phi2`
25.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4616 to 2965 computations (35.8% saved)

regimes580.0ms (0.4%)

Counts

55 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 2) (.f64 (cos.f64 phi2) (/.f64 1/8 (sin.f64 (.f64 -1/2 phi2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 lambda1) 1/2)) (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 1/4 (pow.f64 lambda1 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (*.f64 lambda1 -2))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 1/2)) (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) 1/2)) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 lambda1) (.f64 lambda1 -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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (.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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (*.f64 lambda1 -4))))) (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 1/2 (/.f64 (cos.f64 (+.f64 lambda2 (+.f64 lambda1 (.f64 lambda2 -2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 lambda1 (.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (+.f64 lambda2 (.f64 lambda1 3)) (.f64 lambda1 -4))))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (cos.f64 phi2))))))))
(.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (sqrt.f64 (-.f64 1 (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 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (-.f64 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (.f64 (cos.f64 lambda1) -1/2)) (neg.f64 (cos.f64 lambda1))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))))) (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 1/2 (.f64 (cos.f64 lambda1) 2)) (.f64 (cos.f64 lambda1) 3/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 (-.f64 (PI.f64) phi1)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (sin.f64 (+.f64 lambda2 (-.f64 (.f64 1/2 (PI.f64)) lambda1))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (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 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 lambda1) 2))))))))))
(.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 -1/2 (.f64 lambda2 (sin.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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (.f64 1/2 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (sin.f64 (+.f64 lambda2 (-.f64 (*.f64 1/2 (PI.f64)) lambda1))))) (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 1/2 (/.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
(.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 1/2 (/.f64 (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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2))))))) (*.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (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 1/2 (/.f64 (cos.f64 (.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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (/.f64 (cos.f64 (.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (*.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 1/2 (/.f64 (cos.f64 (*.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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 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 1/2 (/.f64 (cos.f64 (*.f64 (-.f64 lambda1 lambda2) 1)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (*.f64 R 2))

Calls

6 calls:

144.0ms	lambda1
100.0ms	R
71.0ms	lambda2
69.0ms	phi1
68.0ms	phi2

Results

Error	Segments	Branch
32.0b	1	`R`
25.6b	3	`lambda1`
25.6b	3	`lambda2`
25.2b	3	`phi1`
25.3b	3	`phi2`
30.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2849 to 1889 computations (33.7% saved)

bsearch1.5s (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
859.0ms	4.375311926183612e-5	0.07051085531680723
600.0ms	-2.3997598535046388e-6	-8.56160058055762e-10

Results

751.0ms	163×	body	1024	valid
645.0ms	50×	body	512	valid
41.0ms	13×	body	2048	valid
15.0ms	30×	body	256	valid

Compiler

Compiled 2014 to 1541 computations (23.5% saved)

regimes1.8s (1.2%)

Calls

5 calls:

655.0ms	lambda2
333.0ms	phi2
185.0ms	phi1
144.0ms	lambda1
128.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
25.6b	3	`lambda2`
25.2b	3	`phi1`
25.3b	3	`phi2`
30.9b	2	`(-.f64 lambda1 lambda2)`

Results

Compiler

Compiled 2615 to 1738 computations (33.5% saved)