Details

analyze4.6s (4.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	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)

sample20.4s (20.7%)

Results

14.7s	5445×	body	1024	valid
2.5s	467×	body	2048	valid
2.2s	1262×	body	512	valid
938.0ms	1082×	body	256	valid
6.0ms	3×	body	1024	infinite

Bogosity

preprocess235.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1888×	`rational.json-simplify-35`
1536×	`rational.json-simplify-40`
976×	`rational.json-simplify-38`
778×	`rational.json-simplify-43`
678×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2255
1	326	2255
2	520	2255
3	768	2255
4	1174	2255
5	1995	2255
6	4556	2255
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 2 (.f64 (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)))))))) R))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (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 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (+.f64 R R))
(.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 (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)))))))) lambda1))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (.f64 (cos.f64 phi1) (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 phi2) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))) (.f64 2 lambda1))
(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 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 (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)))))))) lambda2))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (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 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))) (+.f64 lambda2 lambda2))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))) (+.f64 R R))
(.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 2 (.f64 (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)))))))) R))
(.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 (cos.f64 phi2) (.f64 (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 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (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 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))) (.f64 R 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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (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 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))))))) (+.f64 R R))
(.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 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 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))

Compiler

Compiled 75 to 51 computations (32% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-53`
860×	`rational.json-simplify-59`
848×	`rational.json-simplify-2`
838×	`rational.json-simplify-1`
742×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	53	205
2	87	205
3	133	205
4	215	205
5	378	205
6	924	205
7	3826	205
8	7935	205

Stop Event

1×	node limit

Counts

1 → 6

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

eval5.0ms (0%)

Compiler: Compiled 395 to 230 computations (41.8% saved)

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

23.1b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
▶	23.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))

Status

Error

Program

▶

23.1b

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

▶

23.1b

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

Compiler

Compiled 140 to 94 computations (32.9% saved)

localize417.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 396 to 219 computations (44.7% saved)

series92.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
63.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
3.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))

rewrite114.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`rational.json-1`
1268×	`rational.json-simplify-2`
1200×	`exponential.json-3`
1200×	`rational.json-2`
1200×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	218
1	174	218
2	389	218
3	872	218
4	1799	218
5	4064	218
6	7732	218

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 2) (/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 4))) (.f64 2 (.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))))
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phi1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)))))

simplify445.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1602×	`rational.json-simplify-35`
1076×	`rational.json-simplify-51`
780×	`rational.json-simplify-2`
740×	`rational.json-simplify-49`
726×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	509	21537
1	1225	20997
2	2582	20363
3	4649	20077
4	6524	20077

Stop Event

1×	node limit

Counts

235 → 349

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)))) 32)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (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 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 3) -1/48))) (.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 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3))))))
(+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 -1/48 (pow.f64 lambda1 3)))) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 2))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))))))
(+.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 lambda2 (.f64 -1/2 (cos.f64 (.f64 1/2 lambda1))))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (*.f64 (pow.f64 lambda2 2) -1/8)))
(+.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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 2))) (.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 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 3) 1/48)) (sin.f64 (.f64 1/2 lambda1)))))
(+.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 (pow.f64 lambda2 3) 1/48)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (+.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 (pow.f64 lambda2 3) 1/48))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (*.f64 -1/2 phi2))
(+.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 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) 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 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (*.f64 (pow.f64 phi1 2) -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 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (pow.f64 phi1 3) -1/48)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2)))) (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (+.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) -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 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (cos.f64 (.f64 1/2 phi1)) -1/2)))
(+.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 (pow.f64 phi2 2) (.f64 (sin.f64 (*.f64 1/2 phi1)) -1/8)))
(+.f64 (.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))) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 (cos.f64 (.f64 1/2 phi1)) -1/2)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 phi2 2) -1/8))))
(+.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 (pow.f64 phi2 2) (.f64 (sin.f64 (.f64 1/2 phi1)) -1/8)) (+.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (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 (cos.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (+.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 1/48 (pow.f64 phi2 3)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) -1/8)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/48 (pow.f64 phi2 3)) (.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 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (-.f64 (.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 1 (-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 (.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 1 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 (.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 (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 (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 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(-.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))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 0)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 1/2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 2) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4) 4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)) 8)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) 16)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)))) 32)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))))))

localize443.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 347 to 191 computations (45% saved)

series59.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
50.0ms	lambda2	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
2.0ms	phi1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))

rewrite173.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2060×	`rational.json-1`
2060×	`rational.json-2`
1134×	`rational.json-simplify-35`
872×	`exponential.json-3`
872×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	184
1	176	184
2	403	184
3	940	184
4	2549	184
5	7033	184

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

Outputs
((#(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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(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) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.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 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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 (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 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)))) (#(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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 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-1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))))

simplify354.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational.json-simplify-46`
1224×	`rational.json-simplify-51`
1096×	`rational.json-simplify-1`
1042×	`rational.json-simplify-49`
992×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	385	18394
1	937	17966
2	1962	17348
3	3180	17094
4	4985	17094
5	7161	17094

Stop Event

1×	node limit

Counts

132 → 230

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(/.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(/.f64 (.f64 2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 2)
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)
(/.f64 (.f64 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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -2)
(/.f64 (+.f64 (.f64 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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)
(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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.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 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.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 1 (-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) -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 1 (-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 (.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 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (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 (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 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 -1/2 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 (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 (pow.f64 phi1 2) (.f64 (+.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 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) -1))) (-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) -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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (.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 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 (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 -1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (.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 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (neg.f64 phi1))) (-.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 (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 (cos.f64 (.f64 -1/2 phi2))))) (-.f64 (.f64 (pow.f64 phi1 2) (neg.f64 (+.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 1 (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (+.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 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) -1)) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) -1/8)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) -1/24))) (.f64 (pow.f64 phi1 3) -1)))) (-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) -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 (.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 (cos.f64 phi2) (.f64 -1/2 (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 (.f64 (cos.f64 (.f64 -1/2 phi2)) (neg.f64 (.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 (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 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (+.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 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3))))))
(+.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 -1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (+.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 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3))))))
(+.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 -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)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3))))))
(-.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)))
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(-.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)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))

eval4.0s (4.1%)

Compiler: Compiled 106137 to 68754 computations (35.2% saved)

prune879.0ms (0.9%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	1128	34	1162
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1130	34	1164

Error

21.6b

Counts

1164 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(.f64 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	35.1b	(.f64 (atan2.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (+.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	35.0b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.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 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (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)))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	32.8b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	33.7b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	23.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
▶	35.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	35.9b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))))) (.f64 R 2))
	35.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	37.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 2))
	23.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	36.9b	(.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 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.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 (pow.f64 lambda2 2) -1/8))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	37.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	36.8b	(.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 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.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))))))))) (.f64 R 2))
	31.7b	(.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 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 lambda1))))))))) (*.f64 R 2))
	32.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))))) (*.f64 R 2))
	31.6b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.8b	(.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 (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 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	32.0b	(.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 (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 2))
	32.3b	(.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 (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 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
▶	23.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (*.f64 R 2))
	36.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (cos.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 lambda2 1/2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))) (*.f64 R 2))
▶	23.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))))) (*.f64 R 2))
	34.3b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	32.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	33.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
▶	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	23.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
▶	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))

Compiler

Compiled 5004 to 3524 computations (29.6% saved)

localize188.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.0b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
✓	3.1b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 481 to 263 computations (45.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-simplify-35`
1184×	`exponential.json-3`
1184×	`rational.json-1`
1184×	`rational.json-2`
1184×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	94	34
2	204	34
3	447	34
4	873	34
5	2140	34
6	5145	34

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) (*.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -1)))) (#(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) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 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 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)))) (#(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 neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))

((#(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 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -1)))) (#(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 (-.f64 phi1 phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1)))) (#(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 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 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))))) (#(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 1/4 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4) 4)))) (#(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 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) (*.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8)))) 64)))) (#(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) -2)))))))

simplify230.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1720×	`rational.json-simplify-2`
822×	`rational.json-simplify-1`
666×	`rational.json-simplify-51`
612×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2728
1	430	2696
2	941	2600
3	2119	2552
4	3456	2552
5	4233	2552
6	4886	2552
7	5811	2552
8	6495	2552
9	7197	2552
10	7870	2552

Stop Event

1×	node limit

Counts

112 → 138

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (.f64 1/2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -1)
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(-.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1)
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(.f64 2 (.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(*.f64 -1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 (.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 2)
(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)
(/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)
(+.f64 0 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -1)
(-.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)
(-.f64 0 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1)
(.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(.f64 2 (.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))
(.f64 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4) 1/4)
(*.f64 -1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(.f64 (.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(.f64 1/4 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))
(*.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)
(.f64 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 4)
(/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8) 8)
(/.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8)) 16)
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) (.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))

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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 (pow.f64 lambda1 2) -1/8))))
(+.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 lambda2 1/2)) 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 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 3) -1/48)))))
(+.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 (cos.f64 (.f64 lambda2 1/2)) (.f64 -1/48 (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1)) (.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 (cos.f64 (.f64 lambda2 1/2)) (+.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 (.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 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda1)) (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.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 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 2))) (.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 (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 (pow.f64 lambda2 3) 1/48)))))
(+.f64 (.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 (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))))))
(+.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (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))))
(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 (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 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.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 -1/8 (.f64 (sin.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.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 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2))) (+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.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)) (+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (pow.f64 phi1 3) (.f64 -1/48 (cos.f64 (.f64 -1/2 phi2))))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2)))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (pow.f64 phi1 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 -1/48 (pow.f64 phi1 3)) (.f64 1/2 phi1))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 -1/8 (pow.f64 phi1 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 2))) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 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 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 -1 phi1))))
(sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1))))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (.f64 -1/2 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 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2))))
(+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) -1/8)) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.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 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) -1/8)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 3) (.f64 1/48 (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))))))
(+.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 1/48 (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))))))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (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 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 -1 phi2))))
(sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2))))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (.f64 1/2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(-.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 2 (.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(*.f64 -1 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 1/2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) -2)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (.f64 2 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) -4)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 0 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(-.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(-.f64 0 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(.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 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 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 1/2)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 4 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4) 1/4)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(*.f64 -1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(.f64 (.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(*.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(.f64 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 4)
(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 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 4)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8) 8)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(/.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8)) 16)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) -2)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8))) 32)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) (.f64 2 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))) -4)
(neg.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8)))) 64)
(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) -2)))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

localize170.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(sqrt.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))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.1b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 418 to 246 computations (41.1% saved)

series10.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	lambda2	@	0	(sqrt.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))))
2.0ms	lambda1	@	0	(sqrt.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))))
1.0ms	phi1	@	0	(sqrt.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))))
1.0ms	lambda1	@	inf	(sqrt.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))))
1.0ms	lambda2	@	inf	(sqrt.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))))

rewrite113.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational.json-1`
1542×	`rational.json-simplify-35`
1152×	`exponential.json-3`
1152×	`rational.json-2`
1152×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	128	76
2	264	76
3	566	76
4	1146	76
5	2827	76
6	5544	76
7	7919	76

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) -1)))) (#(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) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1)))) (#(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 2 (*.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(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 -1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))))) (#(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 4 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))))) (#(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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4) 4)))) (#(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))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))))) 64)))) (#(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) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.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 1/2 (sqrt.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 1/2 (sqrt.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 (sqrt.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.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 2 (*.f64 1/2 (sqrt.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 (sqrt.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 (sqrt.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 2 (sqrt.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))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.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)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.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)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.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)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.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))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.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)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.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 (*.f64 2 (sqrt.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))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.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)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.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)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.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)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.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)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.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)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.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)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)))))

simplify155.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-46`
1000×	`rational.json-simplify-43`
970×	`rational.json-simplify-51`
952×	`rational.json-simplify-49`
824×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	298	7119
1	671	6987
2	1621	6669
3	5365	6509
4	7567	6509

Stop Event

1×	node limit

Counts

91 → 142

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)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (sqrt.f64 (/.f64 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 (sqrt.f64 (+.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 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (sqrt.f64 (/.f64 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 1/2 (.f64 (sqrt.f64 (/.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 (+.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))) (cos.f64 phi1)) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1))) (sqrt.f64 (/.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))))))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.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 (pow.f64 lambda1 3) (-.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))))) (cos.f64 phi1)) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (-.f64 (.f64 (cos.f64 phi1) (+.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 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) 2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (.f64 (+.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))))) (+.f64 (sqrt.f64 (+.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 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (sqrt.f64 (/.f64 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 1/2 (.f64 (sqrt.f64 (/.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 (+.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))) (cos.f64 phi1)) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1))) (sqrt.f64 (/.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))))))) 2)) (pow.f64 lambda1 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(+.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 1/2 (.f64 (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 lambda1)) 2))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.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)))) (pow.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(+.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.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))))) (cos.f64 phi1)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (-.f64 (.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)))) (pow.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (pow.f64 lambda2 3)) (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 lambda1)) 2))))))) (+.f64 (.f64 1/2 (.f64 (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 lambda1)) 2))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.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)))) (pow.f64 (.f64 -1/2 (.f64 (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 lambda1)) 2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 0)
(+.f64 0 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) -1)
(-.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 0)
(-.f64 0 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1)
(.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(.f64 2 (.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 -1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))
(.f64 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4) 1/4)
(.f64 1/4 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))
(.f64 (.f64 1/2 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) -1)
(.f64 (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)) 8)
(/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))) 16)
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))))) 64)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
(+.f64 (sqrt.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)))) 0)
(+.f64 0 (sqrt.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 (.f64 1/2 (sqrt.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 1/2 (sqrt.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 (sqrt.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)))) 0)
(.f64 1/2 (.f64 2 (sqrt.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 2 (.f64 1/2 (sqrt.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 (sqrt.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 (sqrt.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 (.f64 2 (sqrt.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))))) 1/2)
(.f64 4 (/.f64 (sqrt.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)))) 4))
(.f64 (.f64 (sqrt.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)))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.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)))) 4))
(.f64 (.f64 1/2 (sqrt.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))))) 2)
(.f64 (/.f64 (sqrt.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)))) 4) 4)
(/.f64 (sqrt.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 (.f64 2 (sqrt.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))))) 2)
(/.f64 (.f64 (sqrt.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)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.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)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4))))) 64)
(pow.f64 (sqrt.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)

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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.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 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 3) -1/48)))))
(+.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 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 -1/48 (pow.f64 lambda1 3))) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) 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 lambda2 1/2)) (+.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 (.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))))
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(sqrt.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))))
(/.f64 (sqrt.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)
(sqrt.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))))
(/.f64 (.f64 2 (sqrt.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))))) 2)
(sqrt.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))))
(/.f64 (.f64 (sqrt.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)))) 4) 4)
(sqrt.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))))
(/.f64 (.f64 2 (.f64 (sqrt.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)))) 4)) 8)
(sqrt.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))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4))) 16)
(sqrt.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))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4)))) 32)
(sqrt.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))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.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)))) 4))))) 64)
(sqrt.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))))
(pow.f64 (sqrt.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)
(sqrt.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))))

localize144.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
✓	1.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 217 computations (43% saved)

series18.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational.json-1`
1862×	`rational.json-2`
1862×	`rational.json-3`
1066×	`rational.json-simplify-35`
812×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	157	85
2	364	85
3	851	85
4	2358	85
5	6555	85

Stop Event

1×	node limit

Counts

1 → 15

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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 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 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 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 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)))))

simplify255.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-51`
1004×	`rational.json-simplify-43`
990×	`rational.json-simplify-1`
938×	`rational.json-simplify-2`
928×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	265	9875
1	636	9753
2	1303	9329
3	2711	9091
4	4452	9021
5	7731	9021

Stop Event

1×	node limit

Counts

63 → 103

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2))) (pow.f64 phi2 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2))) (pow.f64 phi2 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2)))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 6)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.f64 (pow.f64 (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)))))
(sqrt.f64 (+.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 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 1/2 (-.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))))))) (sqrt.f64 (+.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 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 1/2 (-.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 (sqrt.f64 (+.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 1/2 (.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.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))))))) 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)))))))))
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(sqrt.f64 (+.f64 (pow.f64 (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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)

Outputs
(.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi2 2) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (/.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (/.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (/.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2))) (pow.f64 phi2 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi2 2) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (.f64 (pow.f64 phi2 4) (/.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2))) (/.f64 (pow.f64 phi2 4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (pow.f64 phi2 2) (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (+.f64 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (/.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2))) (/.f64 (pow.f64 phi2 4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (+.f64 (.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (/.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2))) (/.f64 (pow.f64 phi2 4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2))) (pow.f64 phi2 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (/.f64 (.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) 2)))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 6)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (.f64 (pow.f64 phi2 4) (/.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi2 2) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (.f64 (pow.f64 phi2 6) (/.f64 (-.f64 (+.f64 1/1440 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/720)) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi1))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 0)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 1/2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 2) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4) 4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) 8)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 4))) 16)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (cos.f64 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))

localize322.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.0b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.1b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 526 to 295 computations (43.9% saved)

localize434.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 512 to 309 computations (39.6% saved)

series30.0ms (0%)

Counts

1 → 40

Calls

12 calls:

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

rewrite112.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`rational.json-1`
1480×	`rational.json-simplify-35`
1128×	`exponential.json-3`
1128×	`rational.json-2`
1128×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	113
1	216	113
2	490	113
3	1095	113
4	2332	113
5	4750	113
6	7985	113

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs

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

Outputs

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

simplify228.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1660×	`rational.json-simplify-35`
1486×	`rational.json-simplify-51`
1146×	`rational.json-simplify-2`
656×	`rational.json-simplify-1`
608×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	336	13857
1	858	13627
2	1682	12673
3	2677	12237
4	4218	12171
5	5960	12171

Stop Event

1×	node limit

Counts

57 → 138

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))))
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(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (pow.f64 lambda1 3) (-.f64 (+.f64 (.f64 -1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 -1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 2) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 2))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 0)
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 2))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))) 1/2)
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4)))) 32)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1)

Outputs
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))))) (.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2)))))))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2))))))) (.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 phi1 (cos.f64 (.f64 phi2 -1/2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))))) (.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) phi1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))))) (.f64 1/2 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1)))))
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(sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 4)))) 32)
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2))) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1)
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2))) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 lambda2 -1/2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

eval3.5s (3.6%)

Compiler: Compiled 189165 to 124958 computations (33.9% saved)

prune1.8s (1.8%)

Pruning

56 alts after pruning (56 fresh and 0 done)

	Pruned	Kept	Total
New	2094	45	2139
Fresh	18	11	29
Picked	1	0	1
Done	4	0	4
Total	2117	56	2173

Error

21.2b

Counts

2173 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (.f64 phi1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/4))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	54.7b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	32.8b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	32.9b	(.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (*.f64 R 2))
	33.7b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	23.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	24.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.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)) (sin.f64 (.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	38.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	41.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (.f64 R 2))
	36.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (cos.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 lambda2 1/2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))) (*.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	35.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	31.6b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.8b	(.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 (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 2))
	32.0b	(.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 (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 2))
	23.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (.f64 R 2))
	31.8b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 1/2 lambda1))))) -1))) -1))) (*.f64 R 2))
	32.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (*.f64 R 2))
	36.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) lambda1) (cos.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 lambda2 1/2))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))) (*.f64 R 2))
	32.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))))) (*.f64 R 2))
	42.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda2 -1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	45.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 phi1))) (.f64 (cos.f64 phi2) 1/2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	43.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	37.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))))) (*.f64 R 2))
▶	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	40.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	41.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	44.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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)))))) (*.f64 R 2))
	45.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	34.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	52.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	23.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
▶	35.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (+.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)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	42.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	39.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	39.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 lambda1))))))))))
	40.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2))))))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	43.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	41.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	42.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))

Compiler

Compiled 7692 to 5564 computations (27.7% saved)

localize435.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.0b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.1b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))

Compiler

Compiled 523 to 276 computations (47.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`exponential.json-3`
1294×	`rational.json-1`
1294×	`rational.json-2`
1294×	`rational.json-4`
1294×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	64	17
2	161	17
3	340	17
4	683	17
5	1616	17
6	3590	17
7	6346	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.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)) 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 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (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)) 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 (+.f64 1 (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)) 1)))) (#(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 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))))) (#(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 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)))) (#(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 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)))) (#(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 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))) (*.f64 2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)))) (#(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 neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))))

simplify214.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-35`
1338×	`rational.json-simplify-2`
1274×	`rational.json-simplify-51`
1122×	`rational.json-simplify-26`
818×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1359
1	250	1343
2	552	1343
3	1247	1311
4	2405	1311
5	3819	1311
6	5112	1311
7	5919	1311
8	6619	1311
9	7238	1311
10	7897	1311

Stop Event

1×	node limit

Counts

57 → 75

Calls

Call 1

Inputs
(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 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(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 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(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)))
(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -1)))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(+.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(-.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))
(-.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 1)
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) -1)
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
(/.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))

Outputs
(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 (.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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 2))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (+.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 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (*.f64 -1/8 (pow.f64 lambda2 2)))))
(+.f64 (sin.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 -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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 2))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 -1/2 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 lambda2 3) 1/48)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2)))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3)))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.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 (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.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)))))
(+.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 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (*.f64 -1/2 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 (cos.f64 (.f64 -1/2 lambda2)) (.f64 1/2 lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 1/2 lambda1) (cos.f64 (.f64 -1/2 lambda2))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 lambda1 (cos.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 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (*.f64 1/2 lambda1))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 (.f64 1/2 lambda1) (cos.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 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (*.f64 -1/8 (pow.f64 lambda1 2)))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 lambda1 (cos.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))))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 1/2 lambda1)) (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 3) -1/48)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)))))
(+.f64 (.f64 (.f64 1/2 lambda1) (cos.f64 (.f64 -1/2 lambda2))) (+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.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 (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (+.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 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/48 (pow.f64 lambda1 3)))) (sin.f64 (.f64 -1/2 lambda2))))
(+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/48 (pow.f64 lambda1 3))))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.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 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(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))))
(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -1)))
(+.f64 -2 (-.f64 1 (+.f64 -1 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(+.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(-.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(-.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) -1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) -2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) (.f64 2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) -4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

localize247.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.1b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 310 to 170 computations (45.2% saved)

localize268.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
✓	4.2b	(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1)

Compiler

Compiled 465 to 287 computations (38.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite298.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational.json-1`
1626×	`rational.json-2`
1626×	`rational.json-4`
1626×	`rational.json-3`
1220×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	93	38
2	215	38
3	440	38
4	904	34
5	2189	34
6	4641	34
7	7018	34

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (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)) 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 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))))) (#(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 -2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -4) 4)))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (*.f64 2 (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 32)))) (#(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 neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (neg.f64 (+.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (neg.f64 (-.f64 (PI.f64) (+.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (*.f64 (PI.f64) -2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 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 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -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 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) -1)))) (#(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 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))))))

simplify178.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1896×	`rational.json-simplify-35`
1152×	`rational.json-simplify-52`
1086×	`rational.json-simplify-45`
1054×	`rational.json-simplify-2`
1034×	`rational.json-simplify-26`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	221	3663
1	487	3275
2	1211	3231
3	2394	3183
4	3641	3183
5	4695	3175
6	5922	3175
7	7082	3173

Stop Event

1×	node limit

Counts

135 → 176

Calls

Call 1

Inputs
(.f64 -1 (sin.f64 (.f64 1/2 lambda2)))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.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 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(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 (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 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.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 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.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 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -2)))
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(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(.f64 -2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -1)
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) -1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -4))
(.f64 -1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) -1/4)
(.f64 -1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) -2)
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -4) 4)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -1)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
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(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
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(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
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(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 32)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))
(sin.f64 (-.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))
(sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))
(sin.f64 (+.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))
(sin.f64 (+.f64 (.f64 (-.f64 lambda2 lambda1) -1/2) (.f64 (PI.f64) 2)))
(sin.f64 (neg.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) -1/2) (.f64 (PI.f64) 2))))
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(+.f64 1 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 0)
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))))
(+.f64 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 1)
(+.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) -1)
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(-.f64 1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(-.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 0)
(-.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(-.f64 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)
(-.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) 1)
(.f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) -1)
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) 2)
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) -1)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) -2)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) -4)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))

Outputs
(.f64 -1 (sin.f64 (.f64 1/2 lambda2)))
(neg.f64 (sin.f64 (*.f64 1/2 lambda2)))
(sin.f64 (/.f64 lambda2 -2))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)))
(+.f64 (neg.f64 (sin.f64 (.f64 1/2 lambda2))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)))
(+.f64 (sin.f64 (/.f64 lambda2 -2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (.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 -1 (.f64 1/8 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.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 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 -1/48 (pow.f64 lambda1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda1 2)))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 3)) (*.f64 1/2 lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(sin.f64 (neg.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(sin.f64 (neg.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(sin.f64 (neg.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(sin.f64 (neg.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 -1/2 lambda1)))
(.f64 -1 (sin.f64 (.f64 lambda1 -1/2)))
(neg.f64 (sin.f64 (*.f64 lambda1 -1/2)))
(sin.f64 (neg.f64 (*.f64 lambda1 -1/2)))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 lambda1 -1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 lambda1 -1/2)) -1/2)))
(+.f64 (neg.f64 (sin.f64 (.f64 lambda1 -1/2))) (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 lambda1 -1/2)))))
(+.f64 (neg.f64 (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 lambda2 -1/2)))
(+.f64 (sin.f64 (neg.f64 (.f64 lambda1 -1/2))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))))
(+.f64 (.f64 -1 (sin.f64 (.f64 lambda1 -1/2))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 lambda1 -1/2)) -1/2)) (.f64 1/8 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (pow.f64 lambda2 2)))))
(+.f64 (neg.f64 (sin.f64 (.f64 lambda1 -1/2))) (+.f64 (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 1/8 (.f64 (sin.f64 (*.f64 lambda1 -1/2)) (pow.f64 lambda2 2)))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 lambda2 -1/2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))))))
(+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (pow.f64 lambda2 2))) (+.f64 (.f64 -1 (sin.f64 (.f64 lambda1 -1/2))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 lambda1 -1/2)) -1/2)) (.f64 1/48 (.f64 (cos.f64 (*.f64 lambda1 -1/2)) (pow.f64 lambda2 3))))))
(+.f64 (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 lambda1 -1/2)))) (+.f64 (+.f64 (neg.f64 (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda2 3) 1/48))) (.f64 1/8 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (pow.f64 lambda2 2)))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 1/48 (pow.f64 lambda2 3))) (+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 lambda2 -1/2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda2 2))))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 1/48 (pow.f64 lambda2 3)) (.f64 lambda2 -1/2))) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 lambda2 -1/2) (.f64 1/48 (pow.f64 lambda2 3)))) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda2 2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(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 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)))
(+.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 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 2) -1/8))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 2) (.f64 -1/8 (sin.f64 (*.f64 1/2 lambda2))))))
(+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 (*.f64 1/2 lambda2)) -1/8))))
(+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 2) -1/8))))
(+.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 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 3) 1/48)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 2) (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2)))) (.f64 (pow.f64 lambda1 3) (.f64 1/48 (cos.f64 (.f64 1/2 lambda2)))))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 -1/2))) (+.f64 (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 (.f64 1/2 lambda2)) -1/8)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 3) 1/48))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 (.f64 1/2 lambda2)) -1/8))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 (pow.f64 lambda1 3) 1/48) (.f64 lambda1 -1/2))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 2) (.f64 (sin.f64 (.f64 1/2 lambda2)) -1/8))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 lambda1 -1/2) (.f64 (pow.f64 lambda1 3) 1/48))))
(+.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 2) -1/8))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 lambda1 -1/2) (.f64 (pow.f64 lambda1 3) 1/48))))
(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 -1 lambda1))))
(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 -1 lambda1))))
(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 -1 lambda1))))
(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 -1 lambda1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (*.f64 -1/2 lambda1))
(sin.f64 (*.f64 lambda1 -1/2))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 lambda1 -1/2))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (*.f64 lambda1 -1/2)) -1/8))))
(+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (*.f64 -1/8 (pow.f64 lambda2 2)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (*.f64 (pow.f64 lambda2 2) -1/8))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (*.f64 (pow.f64 lambda2 2) -1/8))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(+.f64 (+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) -1/8)))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 lambda1 -1/2)) -1/48)))
(+.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 -1/8 (pow.f64 lambda2 2))) (+.f64 (+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2))))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda2 3) -1/48))))
(+.f64 (+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 lambda1 -1/2)))) (+.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 -1/48 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (pow.f64 lambda2 3)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 -1/48 (pow.f64 lambda2 3)) (.f64 1/2 lambda2)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (+.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 -1 lambda2))))
(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 -1 lambda2))))
(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 -1 lambda2))))
(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 -1 lambda2))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -2)))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 0)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(+.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -2)) -2)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 -2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1/2)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) -1/2)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -4))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 1/4)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) -1/4)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 -1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 2))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 4))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1/2) 2)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) -2)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) -4) 4)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) -1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 2)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 2) -2)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) 4)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4) -4)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8) 8)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8) -8)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) -16)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 8)) 16)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) 8)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) -32)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) 32)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 16)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 8)))) 64)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 32)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) 1)
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(sin.f64 (-.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (+.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2) (PI.f64)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(sin.f64 (+.f64 (.f64 (-.f64 lambda2 lambda1) -1/2) (.f64 (PI.f64) 2)))
(sin.f64 (+.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)) (.f64 2 (PI.f64))))
(neg.f64 (sin.f64 (+.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) -1/2) (.f64 (PI.f64) 2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(sin.f64 (neg.f64 (-.f64 (PI.f64) (+.f64 (.f64 (-.f64 lambda1 lambda2) -1/2) (.f64 (PI.f64) -2)))))
(neg.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) (.f64 -2 (PI.f64))))))
(neg.f64 (sin.f64 (+.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) (.f64 -2 (PI.f64)))))
(+.f64 1 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(+.f64 -1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(+.f64 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) 1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(+.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) -1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(-.f64 1 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(-.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 0)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(-.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(-.f64 (-.f64 -1 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))) -1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(-.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2))) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) -1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(.f64 -1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 1/2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 4 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 1/4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 2))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 4))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1/2) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)) -1)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) -2)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 2) 2)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 4) -4)
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 4) 4)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8) 8)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 8)) 16)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) 32)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) -1/2)) 8)))) 64)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) -1/2)) 1)
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(neg.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2)))
(neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (neg.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(sin.f64 (/.f64 (neg.f64 (-.f64 lambda2 lambda1)) -2))

localize208.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	10.9b	(sqrt.f64 (+.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))))

Compiler

Compiled 495 to 319 computations (35.6% saved)

series12.0ms (0%)

Counts

1 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	lambda2	@	0	(sqrt.f64 (+.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))))
2.0ms	phi1	@	0	(sqrt.f64 (+.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))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.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))))
1.0ms	lambda2	@	inf	(sqrt.f64 (+.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))))
1.0ms	lambda1	@	-inf	(sqrt.f64 (+.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))))

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`exponential.json-3`
1314×	`rational.json-1`
1314×	`rational.json-2`
1314×	`rational.json-4`
1314×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	81
1	159	81
2	329	81
3	705	81
4	1475	81
5	3597	81
6	6601	81

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(sqrt.f64 (+.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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sqrt.f64 (+.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 1/2 (sqrt.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 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/.f64 (*.f64 2 (sqrt.f64 (+.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))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.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)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.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)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.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)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.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)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.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)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.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)))) 1)))))

simplify251.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational.json-simplify-35`
1436×	`rational.json-simplify-51`
758×	`rational.json-simplify-41`
746×	`rational.json-simplify-49`
724×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	247	8081
1	609	8005
2	1230	7625
3	2458	7425
4	4145	7317
5	5721	7317

Stop Event

1×	node limit

Counts

53 → 126

Calls

Call 1

Inputs
(+.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 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (+.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 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)) (+.f64 1/48 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)) 1/4) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))) 2)))) (+.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 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)) (+.f64 1/48 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)) 1/4) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))) 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)) 1/1440) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)) 1/4) (-.f64 (.f64 1/24 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)) (+.f64 1/48 (pow.f64 (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) 2)))) (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (pow.f64 phi1 6)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(+.f64 (.f64 -1/4 (.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi1) (+.f64 1/4 (.f64 -1/16 (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi1) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/48 lambda1) (.f64 1/16 lambda1))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (+.f64 1/4 (.f64 -1/16 (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (cos.f64 phi1) lambda1))) 2)) (.f64 (cos.f64 phi1) lambda1))))) (pow.f64 lambda2 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))) (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi1) (+.f64 1/4 (.f64 -1/16 (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/4 (.f64 (.f64 (cos.f64 phi1) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (sqrt.f64 (/.f64 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 (sqrt.f64 (+.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 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1))) (sqrt.f64 (/.f64 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 1/2 (.f64 (sqrt.f64 (/.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 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1))) (sqrt.f64 (/.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))))))) 2)) (pow.f64 lambda1 2))))))
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(.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1)))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))) (.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1)))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))) 2))) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1))) 2)) (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sqrt.f64 (/.f64 1 (cos.f64 phi1)))))))
(.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1))))
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(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1)))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1)))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1)))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1)))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (cos.f64 phi1)))) 2))) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (cos.f64 phi1))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sqrt.f64 (cos.f64 phi1)))))))
(+.f64 (sqrt.f64 (+.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)))) 0)
(+.f64 0 (sqrt.f64 (+.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 (.f64 1/2 (sqrt.f64 (+.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 1/2 (sqrt.f64 (+.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 (sqrt.f64 (+.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)))) 0)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.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 2 (.f64 1/2 (sqrt.f64 (+.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 (sqrt.f64 (+.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)))) 1)
(.f64 1 (sqrt.f64 (+.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 (.f64 2 (sqrt.f64 (+.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))))) 1/2)
(.f64 4 (/.f64 (sqrt.f64 (+.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)))) 4))
(.f64 (.f64 (sqrt.f64 (+.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)))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (+.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)))) 4))
(.f64 (.f64 1/2 (sqrt.f64 (+.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))))) 2)
(.f64 (/.f64 (sqrt.f64 (+.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)))) 4) 4)
(/.f64 (sqrt.f64 (+.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)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.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))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.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)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4)))) 32)
(pow.f64 (sqrt.f64 (+.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)))) 1)

Outputs
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (+.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 (.f64 1/2 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2))) (/.f64 (pow.f64 phi1 2) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))))) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (.f64 (pow.f64 phi1 2) (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2))) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1) (.f64 (pow.f64 phi1 2) (/.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2))) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))))))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2)) (+.f64 1/48 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)) 1/4) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))) 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(-.f64 (sqrt.f64 (+.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)))) 0)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.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))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.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))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.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)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 1 (sqrt.f64 (+.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)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 (.f64 2 (sqrt.f64 (+.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))))) 1/2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 4 (/.f64 (sqrt.f64 (+.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)))) 4))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 (.f64 (sqrt.f64 (+.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)))) 4) 1/4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 1/4 (.f64 (sqrt.f64 (+.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)))) 4))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 (.f64 1/2 (sqrt.f64 (+.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))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(.f64 (/.f64 (sqrt.f64 (+.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)))) 4) 4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (sqrt.f64 (+.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)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (.f64 2 (sqrt.f64 (+.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))))) 2)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (.f64 (sqrt.f64 (+.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)))) 4) 4)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4)) 8)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4))) 16)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.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)))) 4)))) 32)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))
(pow.f64 (sqrt.f64 (+.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)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 2) (cos.f64 phi1))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) 2) (cos.f64 phi1))))

localize284.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
✓	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
	1.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 441 to 277 computations (37.2% saved)

series43.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	phi2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
1.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))

rewrite120.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-1`
1824×	`rational.json-2`
1824×	`rational.json-3`
1174×	`rational.json-simplify-35`
922×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	154
1	206	154
2	455	154
3	1050	154
4	2790	154
5	7048	154

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs

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

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

Outputs

((#(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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (neg.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (/.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 (-.f64 lambda1 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1/2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 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(cos.f64 phi2)))) -1)))))))

simplify314.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-44`
1060×	`rational.json-simplify-47`
992×	`rational.json-simplify-35`
718×	`rational.json-simplify-49`
716×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	15440
1	1537	14788
2	6646	14762

Stop Event

1×	node limit

Counts

196 → 261

Calls

Call 1

Inputs
(pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.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)) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.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))))) (pow.f64 lambda1 3)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)
(+.f64 (.f64 -1 (.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 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.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 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.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 (.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))))) (pow.f64 lambda2 3)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 phi1 phi2))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi1 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 2))) (.f64 1/2 (.f64 phi1 phi2)))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 phi1) (.f64 1/48 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi1 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 2))) (.f64 1/2 (.f64 phi1 phi2))))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 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 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))) 2)))
(-.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 (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 (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 -1/24 (.f64 (pow.f64 phi1 4) (.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 -1/4 (.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (pow.f64 phi1 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.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 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.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 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(.f64 -1/4 (.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (pow.f64 phi1 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
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(/.f64 (.f64 2 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4))) 16)
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 1)
(neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1)))

Outputs
(pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(+.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 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.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)) (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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4)) (pow.f64 lambda1 2)) (+.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 (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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4)) (pow.f64 lambda1 2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (.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)) (pow.f64 lambda1 2))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.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))))) (pow.f64 lambda1 3)))))
(+.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)) (pow.f64 lambda1 2)) (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/24)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/8))) (pow.f64 lambda1 3))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))))
(+.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)) (pow.f64 lambda1 2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) -1/6) (pow.f64 lambda1 3)))))
(+.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)) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) -1/6) (pow.f64 lambda1 3)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)
(pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)
(+.f64 (.f64 -1 (.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 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (.f64 lambda2 (.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2))) -1)))
(+.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (.f64 lambda2 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.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 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))) (.f64 lambda2 (.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))) -1))))
(+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (.f64 lambda2 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2)))))))
(+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (.f64 lambda2 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2)))))) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.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 (.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))))) (pow.f64 lambda2 3)))))
(+.f64 (.f64 lambda2 (.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2))) -1)) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 (cos.f64 (.f64 lambda1 1/2)) 1/8)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 (cos.f64 (.f64 lambda1 1/2)) 1/24))) (pow.f64 lambda2 3)) (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2))))
(+.f64 (.f64 lambda2 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2))))) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))) 1/6) (pow.f64 lambda2 3)))))
(+.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda1 1/2)) 2)))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda1 1/2))) 1/6) (pow.f64 lambda2 3)) (.f64 lambda2 (neg.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 lambda1 (.f64 lambda2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda1 (neg.f64 lambda2)))) 2)
(-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 phi1 phi2))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 1/2 (.f64 phi1 phi2)) (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(+.f64 1 (-.f64 (.f64 1/2 (.f64 phi1 phi2)) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi1 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 2))) (.f64 1/2 (.f64 phi1 phi2)))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (+.f64 (.f64 1/2 (.f64 phi1 phi2)) (.f64 -1 (.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/16) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 1/4)) (pow.f64 phi2 2)))) (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(+.f64 (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (+.f64 (.f64 1/2 (.f64 phi1 phi2)) (.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/16) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) -1/2)))) (neg.f64 (pow.f64 phi2 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 phi1) (.f64 1/48 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi1 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 phi2 2))) (.f64 1/2 (.f64 phi1 phi2))))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/16) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 1/4)) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (.f64 phi1 phi2)) (.f64 -1 (.f64 (+.f64 (.f64 phi1 1/16) (.f64 phi1 1/48)) (pow.f64 phi2 3))))) (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(+.f64 1 (-.f64 (+.f64 (.f64 1/2 (.f64 phi1 phi2)) (+.f64 (.f64 (.f64 phi1 1/12) (neg.f64 (pow.f64 phi2 3))) (.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/16) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) -1/2)))) (neg.f64 (pow.f64 phi2 2))))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
(+.f64 1 (-.f64 (+.f64 (.f64 1/2 (.f64 phi1 phi2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/16) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) -1/2)))) (neg.f64 (pow.f64 phi2 2))) (.f64 (.f64 phi1 1/12) (neg.f64 (pow.f64 phi2 3))))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))
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(/.f64 (.f64 2 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 2)
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1)) -1)
(+.f64 -1 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 -1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))
(neg.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(/.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4) 4)
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4)) 8)
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1))) -2)
(+.f64 -1 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 -1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))
(neg.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 4))) 16)
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 1)
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 -2)) phi1)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) -1)))
(+.f64 -1 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (/.f64 phi2 -2)) (.f64 phi1 1/2)) (sin.f64 (/.f64 phi2 -2))) 2) (+.f64 -1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))
(neg.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 phi1 (.f64 1/2 (cos.f64 (/.f64 phi2 -2)))) (sin.f64 (/.f64 phi2 -2))) 2) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))

eval4.9s (5%)

Compiler: Compiled 186575 to 125235 computations (32.9% saved)

prune2.5s (2.6%)

Pruning

99 alts after pruning (99 fresh and 0 done)

	Pruned	Kept	Total
New	2233	60	2293
Fresh	12	39	51
Picked	1	0	1
Done	4	0	4
Total	2250	99	2349

Error

20.9b

Counts

2349 → 99

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (.f64 phi1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/4))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	32.8b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	32.9b	(.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (*.f64 R 2))
	33.7b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	23.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.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)) (sin.f64 (.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	41.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	35.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) 1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	31.6b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
▶	32.8b	(.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 (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 2))
	32.0b	(.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 (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 2))
	23.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (.f64 R 2))
	31.8b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 1/2 lambda1))))) -1))) -1))) (*.f64 R 2))
▶	32.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (*.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))))) (*.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	46.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	43.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	40.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 1 (/.f64 1 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	51.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 phi1 phi2))) (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))
	40.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (/.f64 (/.f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (/.f64 (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.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 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	40.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	41.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	44.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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)))))) (*.f64 R 2))
	45.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	34.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))) (*.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	49.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))) (*.f64 R 2))
	60.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (.f64 phi1 (neg.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 -1/4 (pow.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) 2))))) (*.f64 R 2))
	61.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (.f64 -1/4 (pow.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) 2)))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.8b	(.f64 R (.f64 2 (atan2.f64 (+.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (pow.f64 lambda1 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.1b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.8b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	52.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.1b	(.f64 R (.f64 2 (atan2.f64 (+.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 lambda2 1/2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/48 (pow.f64 lambda1 3)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	56.9b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 lambda1 -1/2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	58.9b	(.f64 R (.f64 2 (atan2.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 (.f64 lambda1 (sqrt.f64 (cos.f64 phi1))) -1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	23.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (+.f64 -2 (-.f64 1 (+.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) -1))) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
	49.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 lambda1 2) (.f64 1/4 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (-.f64 (-.f64 1 (sin.f64 (.f64 lambda1 -1/2))) 1) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	43.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (-.f64 (-.f64 1 (sin.f64 (.f64 1/2 lambda2))) 1) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 lambda2 -1/2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda2 2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
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	57.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 1/2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	57.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	58.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)))))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 lambda1))))))))))
	55.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2))))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	54.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
▶	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1))) -1)))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
	56.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 lambda1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	56.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))

Compiler

Compiled 12742 to 9436 computations (25.9% saved)

localize243.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.1b	(sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2))
✓	4.5b	(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -1)))

Compiler

Compiled 613 to 351 computations (42.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`exponential.json-3`
1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-4`
1586×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	108	52
2	210	50
3	416	50
4	795	50
5	1886	50
6	4394	50
7	6789	50

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(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 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -1)))) (#(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 lambda1 lambda2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)))) (#(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 1/2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 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 -1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4) 4)))) (#(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 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8)))) 64)))) (#(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 neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))

simplify234.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-35`
1544×	`rational.json-simplify-2`
1318×	`rational.json-simplify-26`
868×	`rational.json-simplify-1`
826×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2998
1	383	2890
2	858	2774
3	2027	2726
4	3368	2726
5	4150	2726
6	4634	2726
7	5925	2726
8	6841	2726
9	7618	2726
10	7998	2726

Stop Event

1×	node limit

Counts

100 → 134

Calls

Call 1

Inputs
(.f64 -1 (sin.f64 (.f64 -1/2 lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 lambda2)))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.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 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(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 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.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 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(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 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(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)))
(-.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 0)
(-.f64 (+.f64 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -3))) 1)
(.f64 1 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))
(.f64 1/2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2))
(.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(.f64 2 (.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))))
(.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))
(.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))) 2)
(.f64 1/4 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))
(.f64 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)
(/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 2)
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)))) 64)
(pow.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 0)
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))
(+.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -1)
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 0)
(-.f64 0 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(*.f64 -1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(*.f64 2 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 1/4)
(*.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) 2)
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)
(*.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4) 4)
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8) 8)
(/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8)) 16)
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))

Outputs
(.f64 -1 (sin.f64 (.f64 -1/2 lambda1)))
(neg.f64 (sin.f64 (*.f64 -1/2 lambda1)))
(sin.f64 (*.f64 lambda1 1/2))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (neg.f64 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 2)))))
(+.f64 (neg.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 lambda2 (.f64 -1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda2 2)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))))))
(+.f64 (.f64 -1 (sin.f64 (.f64 -1/2 lambda1))) (+.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)))) (.f64 1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 2)))))
(+.f64 (neg.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 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 1/48 (pow.f64 lambda2 3))) (+.f64 (.f64 lambda2 (.f64 -1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda2 2))))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda2 2)))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(.f64 -1 (sin.f64 (.f64 -1/2 (+.f64 lambda1 (*.f64 -1 lambda2)))))
(neg.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2)))))
(.f64 -1 (sin.f64 (.f64 1/2 lambda2)))
(.f64 -1 (sin.f64 (.f64 lambda2 1/2)))
(neg.f64 (sin.f64 (*.f64 lambda2 1/2)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)))
(+.f64 (.f64 -1 (sin.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (*.f64 lambda1 1/2)))
(+.f64 (neg.f64 (sin.f64 (.f64 lambda2 1/2))) (.f64 lambda1 (.f64 (cos.f64 (.f64 lambda2 1/2)) 1/2)))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 lambda2 1/2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 lambda1 1/2)) (.f64 1/8 (.f64 (sin.f64 (.f64 lambda2 1/2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 lambda2 1/2)) 1/2)) (.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda1 2)))))
(+.f64 (.f64 lambda1 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2)))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1 (sin.f64 (.f64 1/2 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.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 (sin.f64 (.f64 lambda2 1/2))) (+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 3) -1/48)) (+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 lambda1 1/2)) (.f64 1/8 (.f64 (sin.f64 (*.f64 lambda2 1/2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 -1/48 (pow.f64 lambda1 3))) (+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 lambda2 1/2)) 1/2)) (.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 -1 (*.f64 1/8 (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda1 2)))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 lambda1 1/2) (*.f64 -1/48 (pow.f64 lambda1 3)))))
(+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 -1 (.f64 1/8 (pow.f64 lambda1 2)))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 3)) (*.f64 lambda1 1/2))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(.f64 -1 (sin.f64 (.f64 1/2 (+.f64 lambda2 (*.f64 -1 lambda1)))))
(neg.f64 (sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 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 (cos.f64 (.f64 -1/2 lambda1)) 1/2)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (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 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (*.f64 -1/2 lambda1)) -1/8))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (*.f64 -1/8 (pow.f64 lambda2 2)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (*.f64 (pow.f64 lambda2 2) -1/8))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (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 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (pow.f64 lambda2 2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) -1/8))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 -1/2 lambda1)) -1/48))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 -1/8 (pow.f64 lambda2 2)))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 -1/2 lambda1)) -1/48))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) -1/48))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 (pow.f64 lambda2 3) -1/48) (.f64 lambda2 1/2)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (pow.f64 lambda2 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 lambda2 1/2) (.f64 (pow.f64 lambda2 3) -1/48)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 lambda1 (.f64 -1 lambda2))))
(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 -1 lambda2))))
(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 -1 lambda2))))
(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 -1 lambda2))))
(sin.f64 (*.f64 -1/2 (+.f64 lambda1 (neg.f64 lambda2))))
(sin.f64 (*.f64 1/2 lambda2))
(sin.f64 (*.f64 lambda2 1/2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 1/2)))))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 -1/2 (.f64 lambda1 (cos.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 lambda1 (cos.f64 (.f64 lambda2 1/2)))) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (sin.f64 (.f64 lambda2 1/2)) (*.f64 (pow.f64 lambda1 2) -1/8))))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (.f64 (sin.f64 (.f64 lambda2 1/2)) (*.f64 (pow.f64 lambda1 2) -1/8))))
(+.f64 (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (.f64 (sin.f64 (*.f64 lambda2 1/2)) (pow.f64 lambda1 2)) -1/8)))
(+.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 (sin.f64 (.f64 lambda2 1/2)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 1/48 (.f64 (cos.f64 (.f64 lambda2 1/2)) (pow.f64 lambda1 3)))) (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 1/2))))))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 lambda2 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 1/48 (.f64 (cos.f64 (.f64 lambda2 1/2)) (pow.f64 lambda1 3))))))
(+.f64 (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 2) -1/8)) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))))))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 1/48 (pow.f64 lambda1 3)) (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 lambda2 1/2)) (+.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (pow.f64 lambda1 2) -1/8)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/2 lambda1) (.f64 1/48 (pow.f64 lambda1 3))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (pow.f64 lambda1 2)) -1/8) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.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 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 lambda2 (.f64 -1 lambda1))))
(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 -1 lambda1))))
(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 -1 lambda1))))
(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 -1 lambda1))))
(sin.f64 (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1))))
(-.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 0)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(-.f64 (+.f64 -2 (neg.f64 (+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) -3))) 1)
(+.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) -3)) -3)
(+.f64 -3 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) -3)))
(.f64 1 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 1/2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 2 (.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 1/2)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 4 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 1/4)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 (.f64 1/2 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))))) 2)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 1/4 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 4))
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(.f64 (/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 2) 2)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 4) 4)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8) 8)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)) 16)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) 32)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))) 8)))) 64)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(pow.f64 (+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))))) 1)
(+.f64 -2 (neg.f64 (+.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(+.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 0)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(+.f64 -1 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(+.f64 0 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(+.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))
(+.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(-.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 0)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(-.f64 0 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(.f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(*.f64 -1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(*.f64 2 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 1/2)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(*.f64 4 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(.f64 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 1/4)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(*.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -2) 2)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(.f64 1/4 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 4))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(*.f64 (/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4) 4)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(/.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 2) 2)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 4) 4)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8) 8)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -1)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 8)) 16)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (*.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) -2)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) 32)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(/.f64 (+.f64 (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 2 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) -4)
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 8)))) 64)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(pow.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(neg.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))

localize94.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
✓	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 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
	3.1b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 210 to 140 computations (33.3% saved)

series16.0ms (0%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	phi2	@	0	(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
1.0ms	lambda1	@	inf	(-.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))))
1.0ms	lambda1	@	0	(-.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))))
1.0ms	lambda2	@	0	(-.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))))
0.0ms	lambda1	@	-inf	(-.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))))

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-simplify-35`
1198×	`exponential.json-3`
1198×	`rational.json-1`
1198×	`rational.json-2`
1198×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	101
1	146	101
2	288	101
3	612	101
4	1230	101
5	2969	101
6	5689	101

Stop Event

1×	node limit

Counts

3 → 86

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))))

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

(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)

Outputs

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-1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (*.f64 1/2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))))) 64)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 (*.f64 -1/2 phi2)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 phi2 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))))) 64)))))

simplify276.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2014×	`rational.json-simplify-2`
1896×	`rational.json-simplify-35`
948×	`rational.json-simplify-26`
928×	`rational.json-simplify-1`
834×	`rational.json-simplify-51`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	324	6668
1	688	6436
2	1434	6396
3	2734	6356
4	4003	6356
5	4504	6352
6	5184	6348
7	6416	6348
8	7326	6348
9	7962	6348

Stop Event

1×	node limit

Counts

126 → 203

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 6))) (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2))))
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(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))
(.f64 4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4) 1/4)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 -1/2 phi2)) 4) 2) 1/16)
(.f64 (pow.f64 (sin.f64 (.f64 phi2 1/2)) 2) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))))) 64)

Outputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (.f64 (pow.f64 phi2 2) -1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))))
(-.f64 (-.f64 1 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (pow.f64 phi2 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (pow.f64 phi2 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (+.f64 1 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4))) (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (.f64 (pow.f64 phi2 2) -1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (+.f64 1 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4))) (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 1 (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4)) (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (-.f64 1 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (pow.f64 phi2 2))) (-.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 6))) (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4))))) (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 phi2 4)) (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (.f64 (pow.f64 phi2 6) -1)))) (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (.f64 (pow.f64 phi2 2) -1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4)) (+.f64 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (neg.f64 (pow.f64 phi2 6))) 1)) (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 1 (-.f64 (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4)) (+.f64 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (neg.f64 (pow.f64 phi2 6))) (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi2 2))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (-.f64 1 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (pow.f64 phi2 2))) (+.f64 (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi2 4)) (-.f64 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (neg.f64 (pow.f64 phi2 6))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2))))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 1/2 lambda2))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 1 (-.f64 (.f64 (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 (.f64 lambda2 -1/2)))) (sin.f64 (.f64 1/2 lambda2))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(+.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))))) (-.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (.f64 -1 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2))))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (neg.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(-.f64 (-.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))) (.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) (pow.f64 lambda1 3))))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))))) (.f64 -1 (.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/24)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/8))) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))))) (-.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) -1/6) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))))))) (-.f64 (.f64 (cos.f64 phi2) (neg.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (.f64 -1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) -1/6) (pow.f64 lambda1 3)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))))))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (neg.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))) (-.f64 (-.f64 1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(+.f64 (neg.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))) (-.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 2)))) (-.f64 (-.f64 1 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2)))))
(-.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (pow.f64 lambda1 2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (cos.f64 phi2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 lambda2 (neg.f64 lambda1)))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 lambda2 (.f64 lambda1 -1)))) 2))))
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(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1))))) 4)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.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 lambda2 lambda1))) 2)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.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 lambda2 lambda1))) 2)))) 4))))) 64)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1))))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1)))))) 8)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(pow.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 lambda2 lambda1))) 2)))) 1)
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(neg.f64 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 0)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(+.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(-.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 0)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 2 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1/2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 1/4)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) 2) 1/16)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(*.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) 2))
(pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2)) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)) 8)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))) 16)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)))) 32)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 4))))) 64)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 1/2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 1/2))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(-.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) 1/2)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4) 1/4)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/2) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1/4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 -1/2 phi2)) 4) 2) 1/16)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(.f64 (pow.f64 (sin.f64 (.f64 phi2 1/2)) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)) 8)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))) 16)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) 4)))) 32)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 4))))) 64)
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)

localize149.0ms (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)
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 388 to 228 computations (41.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	0	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
0.0ms	phi2	@	0	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
0.0ms	phi1	@	-inf	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
0.0ms	phi1	@	inf	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
0.0ms	phi2	@	-inf	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`exponential.json-3`
1336×	`rational.json-1`
1336×	`rational.json-2`
1336×	`rational.json-4`
1336×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	70	23
2	171	23
3	348	23
4	670	23
5	1559	23
6	3580	23
7	6423	23

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(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 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))))) (#(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 2 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))))) (#(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 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16) 1/16)))) (#(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 (*.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)))) 64)))))

simplify226.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-35`
1034×	`rational.json-simplify-2`
1000×	`rational.json-simplify-1`
950×	`rational.json-simplify-48`
890×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	128	1891
1	250	1793
2	605	1793
3	1228	1761
4	1937	1749
5	2722	1749
6	3290	1749
7	4028	1749
8	5217	1749
9	5796	1749
10	6301	1749
11	6906	1749
12	7798	1749

Stop Event

1×	node limit

Counts

51 → 75

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 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) 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 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(+.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 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))
(-.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))
(.f64 4 (pow.f64 (.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) 2)
(.f64 1/16 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2) 4)
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) 2) 16)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16) 1/16)
(/.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)))) 64)

Outputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(pow.f64 (sin.f64 (*.f64 phi2 1/2)) 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 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 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 -1/2 phi2)))))
(+.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 phi2 1/2)) 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 (.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 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (+.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)))) (pow.f64 (sin.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 (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 (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 phi2 1/2)) 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 phi2 1/2)) 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 (.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 (sin.f64 (.f64 -1/2 phi2)) -1/24))) (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 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2)))))))
(+.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 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (.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 (.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 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (*.f64 -1/6 (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)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (*.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 phi1 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 phi2 1/2)) 2) -1/4) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 phi2 1/2)) 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 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 phi1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 phi1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 phi1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 phi2 (.f64 phi1 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 phi2 (neg.f64 phi1)))) 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 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (neg.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 phi2 (neg.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 (.f64 phi1 1/2)) (.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 (.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 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2)))))))
(+.f64 (neg.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (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)) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2)))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (.f64 phi2 (neg.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (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 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 -1/2 phi1))))) (.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 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 -1/2 phi1)))) (.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 (+.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 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 (sin.f64 (.f64 phi1 1/2)) 1/8)) (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 (sin.f64 (.f64 phi1 1/2)) 1/24))) (pow.f64 phi2 3)))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (+.f64 (neg.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (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 (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))) 1/6) (pow.f64 phi2 3)))))
(+.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 phi2 (neg.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (*.f64 1/6 (pow.f64 phi2 3))))))
(+.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 phi2 (neg.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))) (.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 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 -1/2 phi1)))) (.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 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (.f64 -1/2 phi1)))) (+.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 (pow.f64 phi2 3) 1/6)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 phi2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 phi2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 phi2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 phi2)))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi1 (.f64 phi2 -1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 phi1 (neg.f64 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 0 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))
(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 2 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2))
(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 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 4 (pow.f64 (.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) 2))
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 1/4)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 1/16 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1/2) 2) 4)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) 2) 16)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 16) 1/16)
(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 (.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8) 8)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)) 16)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) 32)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)

localize201.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.1b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 369 to 218 computations (40.9% saved)

series30.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	lambda1	@	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	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))))
0.0ms	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	lambda1	@	-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))))

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`rational.json-simplify-35`
1216×	`exponential.json-3`
1216×	`rational.json-1`
1216×	`rational.json-2`
1216×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	140	61
2	281	61
3	604	61
4	1222	61
5	2988	61
6	5726	61

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(-.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

((#(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 -1 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -2) (/.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -2))))) (#(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 1/2 (*.f64 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -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 -1 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.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)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.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)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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)))) 4) 4)))) (#(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 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))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 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)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 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)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 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)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 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)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))) (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))))) 8)))) (#(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 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))))))

simplify246.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2090×	`rational.json-simplify-51`
1982×	`rational.json-simplify-35`
1100×	`rational.json-simplify-2`
830×	`rational.json-simplify-26`
666×	`rational.json-simplify-41`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	203	4370
1	451	4246
2	888	4194
3	1869	4152
4	3318	4152
5	4076	4144
6	4782	4144
7	5979	4144
8	6932	4144
9	7653	4122

Stop Event

1×	node limit

Counts

54 → 111

Calls

Call 1

Inputs
(-.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 (.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 (+.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 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 (.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 (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 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 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 (.f64 -1 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 (.f64 -1 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 (.f64 -1 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 lambda1)) 2))))
(-.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(-.f64 (+.f64 (.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 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 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(-.f64 (+.f64 (.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 (+.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) (cos.f64 phi1)))) (.f64 -1 (.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 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 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 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 1 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))
(+.f64 -2 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))))
(+.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))) -1)
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)) -2) (/.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)) -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 1/2 (.f64 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 2 (/.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)) -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 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)))
(.f64 (.f64 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))))) 1/2)
(.f64 4 (/.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)))) 4))
(.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)) -1)
(.f64 (.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)))) 4) 1/4)
(.f64 1/4 (.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)))) 4))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)) -2) 2)
(.f64 (/.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)))) 4) 4)
(/.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 (.f64 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))))) 2)
(/.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -1)
(/.f64 (.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)))) 4) 4)
(/.f64 (.f64 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)))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))) -2)
(/.f64 (.f64 2 (.f64 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)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))) -4)
(/.f64 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 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)))) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) -8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 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)))) 4)))) (.f64 2 (.f64 2 (.f64 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)))) 4))))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)))))) 8)
(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 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))

Outputs
(-.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 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 1 (-.f64 (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 1 (-.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi1 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (-.f64 1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))))
(-.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 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))))) (.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 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)) (+.f64 1 (-.f64 (neg.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (neg.f64 (pow.f64 phi1 2))) (+.f64 (-.f64 1 (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))))
(+.f64 (-.f64 1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (-.f64 (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)))) (.f64 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)))
(-.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 (-.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 phi1 4)) (+.f64 (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2))))) (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (.f64 (pow.f64 phi1 6) -1)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
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(-.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 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))))) 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 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)) -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 (-.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)))) 4) 4)
(-.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 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)))) 4)) 8)
(-.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 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))) -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 2 (.f64 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)))) 4))) 16)
(-.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 2 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1)))) -4)
(-.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 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)))) 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 2 (.f64 2 (.f64 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)))) 4)))) 32)
(-.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 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) -1))))) 4)
(-.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 2 (.f64 2 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) -8)
(-.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 (.f64 2 (.f64 2 (.f64 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)))) 4)))) (.f64 2 (.f64 2 (.f64 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)))) 4))))) 64)
(-.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 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1)))))) 8)
(-.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))))
(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 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 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))))

localize197.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.0b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.1b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 514 to 301 computations (41.4% saved)

eval3.4s (3.4%)

Compiler: Compiled 115826 to 78317 computations (32.4% saved)

prune1.9s (1.9%)

Pruning

116 alts after pruning (115 fresh and 1 done)

	Pruned	Kept	Total
New	1665	42	1707
Fresh	21	73	94
Picked	1	0	1
Done	3	1	4
Total	1690	116	1806

Error

20.8b

Counts

1806 → 116

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(.f64 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (.f64 phi1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/4))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	32.8b	(.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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	38.9b	(.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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (*.f64 R 2))
	33.4b	(.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 (cos.f64 phi1) (.f64 (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)))))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	23.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.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)) (sin.f64 (.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	41.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	41.8b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (*.f64 R 2))
	42.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2))
	31.6b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	32.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (*.f64 R 2))
	39.0b	(.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 (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 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi1)))))) (.f64 R 2))
	44.7b	(.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 (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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) 2)))))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) 2)))))) (*.f64 R 2))
	38.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 lambda1 -1/2)) 2)))))) (.f64 R 2))
	32.0b	(.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 (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 2))
	23.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))) 1) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))) -1))) (.f64 R 2))
	31.8b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 1/2 lambda1))))) -1))) -1))) (*.f64 R 2))
	39.3b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (*.f64 R 2))
	32.9b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -2)))))) (.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) -1))))) (*.f64 R 2))
	32.8b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (.f64 R 2))
	39.5b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 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 2))
	41.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (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 2))
	34.6b	(.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (.f64 R 2))
	36.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	42.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 -1/2 lambda2))))) -1))) -1))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	46.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	43.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	40.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 2 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 1 (/.f64 1 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (*.f64 R 2))
	40.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (/.f64 (/.f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (/.f64 (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (/.f64 (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (*.f64 R 2))
	39.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.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 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (/.f64 1 (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))))) (.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	40.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	41.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	44.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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)))))) (*.f64 R 2))
	45.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	34.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))) (*.f64 R 2))
	35.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	49.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))) (*.f64 R 2))
	60.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (.f64 phi1 (neg.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 -1/4 (pow.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) 2))))) (*.f64 R 2))
	61.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (.f64 -1/4 (pow.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) 2)))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R 2))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
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	41.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	56.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (+.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/2)) (pow.f64 phi2 2)))))))
	55.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 (-.f64 1 (.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))))))))
	55.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
	56.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	57.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 lambda1))))))))))
	55.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2))))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	54.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))
	54.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (cos.f64 phi2))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (-.f64 (-.f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) -2))) 1) 2))))))))
	57.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2))) 2))))))))
	58.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))) 2))))))))
✓	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 lambda1)) 2))))))))
	55.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (pow.f64 phi2 4) -1/48)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	56.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -2))))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) -1)))))))
	56.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 lambda1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	56.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 lambda1)) (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))))))))
	56.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
	56.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 lambda2)) (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))))))))

Compiler

Compiled 7024 to 5261 computations (25.1% saved)

regimes4.0s (4%)

Counts

184 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

1.2s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
462.0ms	(.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)))))))))
390.0ms	(+.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))))
317.0ms	(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)))))))
309.0ms	(-.f64 lambda1 lambda2)

Results

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

Compiler

Compiled 11157 to 7284 computations (34.7% saved)

regimes2.2s (2.2%)

Counts

126 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

420.0ms	phi2
273.0ms	phi1
262.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
244.0ms	(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)))))))
181.0ms	(+.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
23.1b	1	`R`
23.1b	1	`lambda1`
23.1b	1	`lambda2`
23.1b	1	`phi1`
23.1b	1	`phi2`
23.1b	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)))))))))`
23.1b	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))))))))`
23.1b	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)))))))`
23.1b	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))))`
23.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 6813 to 4471 computations (34.4% saved)

regimes1.6s (1.6%)

Counts

121 → 3

Calls

Call 1

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

Outputs

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

(*.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 (cos.f64 phi1) (*.f64 (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)))))) (*.f64 R 2))

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

Calls

8 calls:

212.0ms	(-.f64 lambda1 lambda2)
207.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
191.0ms	R
163.0ms	lambda2
161.0ms	lambda1

Results

Error	Segments	Branch
28.6b	4	`R`
23.1b	3	`lambda1`
23.1b	3	`lambda2`
22.7b	3	`phi1`
22.6b	3	`phi2`
27.1b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
27.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 6251 to 4113 computations (34.2% saved)

bsearch429.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
216.0ms	730.1060915599099	507439961.79942065
210.0ms	-1671.7022244354644	-4.2685453887500646e-7

Results

282.0ms	149×	body	1024	valid
57.0ms	50×	body	512	valid
42.0ms	78×	body	256	valid
35.0ms	11×	body	2048	valid

Compiler

Compiled 2382 to 1772 computations (25.6% saved)

regimes1.4s (1.4%)

Counts

109 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

189.0ms	R
187.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
183.0ms	(-.f64 lambda1 lambda2)
147.0ms	lambda2
142.0ms	lambda1

Results

Error	Segments	Branch
28.6b	4	`R`
23.1b	3	`lambda1`
23.1b	3	`lambda2`
22.7b	3	`phi1`
22.6b	3	`phi2`
27.1b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
27.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5493 to 3647 computations (33.6% saved)

bsearch13.0s (13.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
361.0ms	730.1060915599099	507439961.79942065
12.6s	-1671.7022244354644	-4.2685453887500646e-7

Results

12.9s	160×	body	1024	valid
61.0ms	55×	body	512	valid
35.0ms	65×	body	256	valid
27.0ms	8×	body	2048	valid

Compiler

Compiled 2274 to 1682 computations (26% saved)

regimes1.6s (1.7%)

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

256.0ms	phi2
223.0ms	lambda2
190.0ms	R
181.0ms	(-.f64 lambda1 lambda2)
173.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
29.1b	4	`R`
30.1b	2	`lambda1`
30.3b	2	`lambda2`
22.7b	3	`phi1`
22.7b	3	`phi2`
30.1b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
29.2b	5	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.2b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3955 to 2649 computations (33% saved)

bsearch788.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
364.0ms	730.1060915599099	507439961.79942065
422.0ms	-1671.7022244354644	-4.2685453887500646e-7

Results

548.0ms	147×	body	1024	valid
103.0ms	70×	body	256	valid
77.0ms	57×	body	512	valid
48.0ms	14×	body	2048	valid
1.0ms	1×	body	256	infinite

Compiler

Compiled 2256 to 1664 computations (26.2% saved)

regimes2.0s (2.1%)

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

465.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
384.0ms	(-.f64 lambda1 lambda2)
318.0ms	R
234.0ms	phi2
157.0ms	phi1

Results

Error	Segments	Branch
29.1b	5	`R`
30.4b	2	`lambda1`
29.9b	3	`lambda2`
22.8b	3	`phi1`
22.8b	3	`phi2`
30.6b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
29.6b	5	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.6b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3900 to 2614 computations (33% saved)

bsearch961.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
423.0ms	1.0578575799366455e-6	330261.75608973025
537.0ms	-3.29061420867214e-7	-5.1023543905415135e-14

Results

651.0ms	156×	body	1024	valid
198.0ms	91×	body	256	valid
51.0ms	46×	body	512	valid
50.0ms	11×	body	2048	valid

Compiler

Compiled 2358 to 1744 computations (26% saved)

regimes1.5s (1.5%)

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

278.0ms	(-.f64 lambda1 lambda2)
258.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
152.0ms	R
151.0ms	lambda2
113.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
30.2b	4	`R`
31.0b	2	`lambda1`
30.3b	3	`lambda2`
23.3b	3	`phi1`
22.9b	3	`phi2`
31.1b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
28.9b	7	`(/.f64 (-.f64 lambda1 lambda2) 2)`
28.9b	7	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3845 to 2579 computations (32.9% saved)

bsearch318.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	2.3124557722435103e-17	3.0404365912697185e-17
246.0ms	-8.347660618868378e-13	-8.764277358682426e-20

Results

206.0ms	105×	body	1024	valid
50.0ms	36×	body	512	valid
30.0ms	9×	body	2048	valid
24.0ms	42×	body	256	valid

Compiler

Compiled 1494 to 1109 computations (25.8% saved)

regimes418.0ms (0.4%)

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

88.0ms	phi1
34.0ms	R
33.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
33.0ms	(-.f64 lambda1 lambda2)
33.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
34.3b	1	`R`
34.3b	1	`lambda1`
34.3b	1	`lambda2`
32.9b	3	`phi1`
34.3b	1	`phi2`
34.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
34.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
34.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3309 to 2229 computations (32.6% saved)

bsearch811.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
456.0ms	1.0621708298386637e-10	1.0578575799366455e-6
353.0ms	-7.2472885502998934e-40	-8.559096754910346e-44

Results

519.0ms	136×	body	1024	valid
228.0ms	52×	body	512	valid
32.0ms	61×	body	256	valid
22.0ms	7×	body	2048	valid

Compiler

Compiled 1838 to 1365 computations (25.7% saved)

regimes1.1s (1.1%)

Counts

67 → 3

Calls

Call 1

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

Outputs

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

Calls

8 calls:

275.0ms	phi2
183.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
116.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
114.0ms	R
96.0ms	lambda2

Results

Error	Segments	Branch
39.7b	3	`R`
34.1b	3	`lambda1`
34.7b	3	`lambda2`
35.3b	3	`phi1`
37.1b	6	`phi2`
38.2b	4	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
39.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
39.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3097 to 2089 computations (32.5% saved)

bsearch1.2s (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
931.0ms	7794146.832451003	1118993142095180.3
231.0ms	-26.137111153840245	-4.6847438699882615e-5

Results

1.0s	161×	body	1024	valid
77.0ms	65×	body	512	valid
30.0ms	53×	body	256	valid
29.0ms	9×	body	2048	valid

Compiler

Compiled 2184 to 1709 computations (21.7% saved)

regimes1.8s (1.8%)

Counts

65 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

491.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
326.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
179.0ms	(-.f64 lambda1 lambda2)
173.0ms	lambda2
155.0ms	lambda1

Results

Error	Segments	Branch
40.0b	3	`R`
37.0b	3	`lambda1`
39.2b	3	`lambda2`
36.0b	3	`phi1`
39.5b	3	`phi2`
39.0b	4	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
39.0b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
39.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2991 to 2019 computations (32.5% saved)

bsearch511.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
253.0ms	1.0578575799366455e-6	330261.75608973025
257.0ms	-16263116.424357347	-3.29061420867214e-7

Results

337.0ms	172×	body	1024	valid
90.0ms	68×	body	512	valid
40.0ms	72×	body	256	valid
32.0ms	8×	body	2048	valid

Compiler

Compiled 2278 to 1713 computations (24.8% saved)

regimes1.1s (1.1%)

Counts

64 → 3

Calls

Call 1

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

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

Calls

8 calls:

284.0ms	phi1
227.0ms	lambda1
120.0ms	lambda2
101.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
76.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
42.1b	1	`R`
37.0b	3	`lambda1`
40.9b	2	`lambda2`
37.4b	3	`phi1`
39.5b	3	`phi2`
39.0b	4	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
39.0b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
39.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2938 to 1984 computations (32.5% saved)

bsearch404.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
309.0ms	1.9970374777395735e-10	6.697047263614256e-5
93.0ms	-3.676914405849481e-9	-2.2839608498339128e-9

Results

227.0ms	103×	body	1024	valid
83.0ms	7×	body	2048	valid
56.0ms	46×	body	512	valid
31.0ms	52×	body	256	valid

Compiler

Compiled 1495 to 1158 computations (22.5% saved)

regimes785.0ms (0.8%)

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

139.0ms	(-.f64 lambda1 lambda2)
95.0ms	R
94.0ms	lambda2
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
82.0ms	phi1

Results

Error	Segments	Branch
42.1b	1	`R`
42.1b	1	`lambda1`
42.1b	1	`lambda2`
41.1b	2	`phi1`
42.1b	1	`phi2`
40.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
40.0b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
40.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2886 to 1945 computations (32.6% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.166341359693402e-18	1.3880594735433147e-14
0.0ms	-1.11154994712884e-10	-2.732630655897983e-14

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes386.0ms (0.4%)

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

37.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
29.0ms	lambda2
28.0ms	(-.f64 lambda1 lambda2)
26.0ms	R
25.0ms	phi2

Results

Error	Segments	Branch
42.1b	1	`R`
42.1b	1	`lambda1`
42.1b	1	`lambda2`
42.1b	1	`phi1`
42.1b	1	`phi2`
42.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
42.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
42.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2374 to 1600 computations (32.6% saved)

regimes214.0ms (0.2%)

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	lambda1
19.0ms	lambda2
19.0ms	phi2
18.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
53.4b	1	`R`
53.4b	1	`lambda1`
53.4b	1	`lambda2`
53.4b	1	`phi1`
53.4b	1	`phi2`
49.1b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
53.4b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
53.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1684 to 1148 computations (31.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4579645903902825e-174	-2.3811322060449543e-176

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes150.0ms (0.2%)

Counts

38 → 1

Calls

Call 1

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

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))

Calls

6 calls:

19.0ms	phi1
18.0ms	(-.f64 lambda1 lambda2)
18.0ms	lambda2
18.0ms	lambda1
18.0ms	R

Results

Error	Segments	Branch
53.4b	1	`R`
53.4b	1	`lambda1`
53.4b	1	`lambda2`
53.4b	1	`phi1`
53.4b	1	`phi2`
53.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1534 to 1041 computations (32.1% saved)

regimes37.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (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))))))))

Calls

6 calls:

5.0ms	phi2
5.0ms	lambda2
5.0ms	R
5.0ms	(-.f64 lambda1 lambda2)
5.0ms	lambda1

Results

Error	Segments	Branch
53.5b	1	`R`
53.5b	1	`lambda1`
53.5b	1	`lambda2`
53.5b	1	`phi1`
53.5b	1	`phi2`
53.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 248 to 184 computations (25.8% saved)

regimes36.0ms (0%)

Accuracy

Total -8.6b remaining (-16%)

Threshold costs -8.6b (-16%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	phi1
6.0ms	R
5.0ms	(-.f64 lambda1 lambda2)
4.0ms	phi2
4.0ms	lambda1

Results

Error	Segments	Branch
53.6b	1	`R`
53.6b	1	`lambda1`
53.6b	1	`lambda2`
53.6b	1	`phi1`
53.6b	1	`phi2`
53.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 216 to 162 computations (25% saved)

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	6177

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(if (<=.f64 phi2 -5534023222112865/36893488147419103232) (.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 (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 2)) (if (<=.f64 phi2 740) (.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 (cos.f64 phi1) (.f64 (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)))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi2 -4722366482869645/147573952589676412928) (.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 (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 2)) (if (<=.f64 phi2 740) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi2 -944473296573929/295147905179352825856) (.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 (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 2)) (if (<=.f64 phi2 740) (.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 (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 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi1 -3022314549036573/9444732965739290427392) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 5534023222112865/73786976294838206464) (.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 (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 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 phi2 -8120886657712095/9903520314283042199192993792) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (.f64 R 2)) (if (<=.f64 phi2 4867778304876401/162259276829213363391578010288128) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi1 -68962299338965/95780971304118053647396689196894323976171195136475136) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 731966804844795/1180591620717411303424) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 lambda1 -564931537257355/576460752303423488) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 lambda1 8000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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)))) (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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 phi1 -4574792530279969/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 4574792530279969/73786976294838206464) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 lambda1 -4352132950612665/1208925819614629174706176) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (if (<=.f64 lambda1 3984496719921263/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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)))) (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -7737125245533627/77371252455336267181195264) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 6490371073168535/649037107316853453566312041152512) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 lambda1 2) (.f64 1/4 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 lambda1 -1/2)))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))

Outputs
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
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(if (<=.f64 phi2 -4722366482869645/147573952589676412928) (.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 (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 2)) (if (<=.f64 phi2 740) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (.f64 R 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi2 -944473296573929/295147905179352825856) (.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 (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 2)) (if (<=.f64 phi2 740) (.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 (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 2)) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi1 -3022314549036573/9444732965739290427392) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 5534023222112865/73786976294838206464) (.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 (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 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 phi2 -8120886657712095/9903520314283042199192993792) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (.f64 R 2)) (if (<=.f64 phi2 4867778304876401/162259276829213363391578010288128) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (*.f64 R 2))))
(if (<=.f64 phi1 -68962299338965/95780971304118053647396689196894323976171195136475136) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 731966804844795/1180591620717411303424) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.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)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 lambda1 -564931537257355/576460752303423488) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 lambda1 8000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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)))) (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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (*.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 phi1 -4574792530279969/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 4574792530279969/73786976294838206464) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 lambda1 -4352132950612665/1208925819614629174706176) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (if (<=.f64 lambda1 3984496719921263/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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)))) (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (*.f64 R 2))))
(if (<=.f64 (-.f64 lambda1 lambda2) -7737125245533627/77371252455336267181195264) (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2)) (if (<=.f64 (-.f64 lambda1 lambda2) 6490371073168535/649037107316853453566312041152512) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 lambda1 2) (.f64 1/4 (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 R 2))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi1)) (+.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (.f64 lambda1 -1/2)))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))

Compiler

Compiled 2075 to 1449 computations (30.2% saved)

soundness556.0ms (0.6%)

Algorithm

4×	egg-herbie

Rules

1602×	`rational.json-simplify-35`
1368×	`rational.json-simplify-53`
1368×	`rational.json-simplify-53`
1368×	`rational.json-simplify-53`
1076×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	53	205
2	87	205
3	133	205
4	215	205
5	378	205
6	924	205
7	3826	205
8	7935	205
0	29	205
1	53	205
2	87	205
3	133	205
4	215	205
5	378	205
6	924	205
7	3826	205
8	7935	205
0	509	21537
1	1225	20997
2	2582	20363
3	4649	20077
4	6524	20077
0	29	205
1	53	205
2	87	205
3	133	205
4	215	205
5	378	205
6	924	205
7	3826	205
8	7935	205

Stop Event

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

Compiler

Compiled 596 to 380 computations (36.2% saved)

end820.0ms (0.8%)

Compiler: Compiled 1995 to 1314 computations (34.1% saved)