Details

analyze9.8s (6.5%)

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)

sample1.1min (42.4%)

Results

46.2s	5517×	body	1024	valid
7.1s	1227×	body	512	valid
6.4s	435×	body	2048	valid
3.9s	1077×	body	256	valid
3.0ms	1×	body	1024	infinite
2.0ms	1×	body	512	infinite

Bogosity

preprocess386.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1452×	`rational_best-simplify-51`
922×	`rational_best-simplify-48`
688×	`rational_best-simplify-108`
538×	`rational_best-simplify-65`
524×	`rational_best-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2255
1	421	2255
2	862	2167
3	2003	2035
4	6716	1903
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 75 to 51 computations (32% saved)

simplify267.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational_best-simplify-51`
1456×	`rational_best-simplify-52`
1384×	`rational_best-simplify-48`
1062×	`rational_best-simplify-1`
558×	`rational_best-simplify-64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	66	205
2	134	197
3	303	185
4	947	173
5	4164	173

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

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

eval23.0ms (0%)

Compiler: Compiled 432 to 261 computations (39.6% saved)

prune56.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2	5	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	6	8

Error

22.0b

Counts

8 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (.f64 R 2))
▶	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
▶	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	22.0b	(.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))))))))))
▶	22.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))

Compiler

Compiled 656 to 452 computations (31.1% saved)

localize736.0ms (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 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series154.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	lambda1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
21.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
20.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
19.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
4.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite277.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	218
1	178	218
2	485	210
3	1754	186

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 0) (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (sin.f64 0) (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 (/.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 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simplify826.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

872×	`rational_best-simplify-55`
850×	`rational_best-simplify-1`
784×	`rational_best-simplify-52`
700×	`rational_best-simplify-63`
696×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	24368
1	1773	23936
2	4404	23022

Stop Event

1×	node limit

Counts

284 → 394

Calls

Call 1

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

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

localize403.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	1.2b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
✓	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 347 to 190 computations (45.2% saved)

series19.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Expression
13.0ms	lambda1	@	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	lambda1	@	(cos.f64 (-.f64 lambda1 lambda2))
1.0ms	phi1	@	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
1.0ms	phi2	@	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
0.0ms	lambda2	@	(cos.f64 (-.f64 lambda1 lambda2))

rewrite298.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`rational_best-4`
1982×	`rational_best-2`
1982×	`rational_best-3`
1982×	`rational_best-1`
1982×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	115	57
2	271	57
3	881	57
4	4240	57

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

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

Outputs

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

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

simplify549.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

800×	`rational_best-simplify-50`
790×	`rational_best-simplify-47`
650×	`rational_best-simplify-48`
608×	`rational_best-simplify-52`
558×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	313	4564
1	775	4358
2	1897	3688
3	7783	3676

Stop Event

1×	node limit

Counts

140 → 179

Calls

Call 1

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

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

localize358.0ms (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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
✓	1.2b	(-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 292 to 157 computations (46.2% saved)

series42.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	lambda1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
2.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))

rewrite417.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`rational_best-simplify-62`
616×	`rational_best-4`
616×	`rational_best-2`
616×	`rational_best-3`
616×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	100
1	169	100
2	418	100
3	1432	100
4	7262	100

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2)) (-.f64 1/2 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (/.f64 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)))))) 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simplify588.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational_best-simplify-63`
802×	`rational_best-simplify-1`
794×	`rational_best-simplify-47`
738×	`rational_best-simplify-50`
704×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	352	9652
1	940	9428
2	2263	9314
3	6483	9190

Stop Event

1×	node limit

Counts

132 → 167

Calls

Call 1

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

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

localize500.0ms (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 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
✓	1.2b	(-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2))))
✓	2.9b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 345 to 208 computations (39.7% saved)

series33.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
2.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
2.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
1.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))
1.0ms	lambda1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2))))

rewrite228.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	105
1	194	105
2	549	105
3	2075	105

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4)) (/.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (+.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4))) (+.f64 (fabs.f64 (+.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4))) (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 3) 4) (+.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2) (+.f64 1/2 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 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simplify513.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational_best-simplify-1`
1102×	`rational_best-simplify-3`
850×	`rational_best-simplify-55`
828×	`rational_best-simplify-65`
596×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	11602
1	1381	11448
2	3452	11288

Stop Event

1×	node limit

Counts

230 → 305

Calls

Call 1

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

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

localize501.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 396 to 208 computations (47.5% saved)

series49.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	phi1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
1.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
1.0ms	phi1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
1.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))

rewrite290.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational_best-2`
1106×	`rational_best-1`
1104×	`rational_best-4`
1104×	`rational_best-3`
1104×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	176
1	190	152
2	630	152
3	2633	152

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs

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

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

Outputs

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

simplify783.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational_best-simplify-51`
1390×	`rational_best-simplify-48`
1348×	`rational_best-simplify-52`
1316×	`rational_best-simplify-1`
660×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	390	17595
1	1050	17379
2	2436	16883
3	5344	16839

Stop Event

1×	node limit

Counts

133 → 214

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

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

eval16.9s (11.3%)

Compiler: Compiled 250000 to 152397 computations (39% saved)

prune13.9s (9.2%)

Pruning

53 alts after pruning (53 fresh and 0 done)

	Pruned	Kept	Total
New	3163	53	3216
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	3168	53	3221

Error

20.2b

Counts

3221 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(.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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
▶	30.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 4))) 2) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	41.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	42.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) 2)) 2) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	41.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)))))) (*.f64 R 2))
	41.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) 2)) 2) 2)))))) (*.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) (+.f64 1/4 (/.f64 (.f64 3 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) 4))) 2)))))) (.f64 R 2))
	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 phi2))))))) (.f64 R 2))
	30.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 R 2))
▶	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	34.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (.f64 1/2 (.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 R 2))
	21.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2)))))))) (.f64 R 2))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))))) (*.f64 R 2))
	32.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))))) (.f64 R 2))
	31.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))))) (.f64 R 2))
	36.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (+.f64 (.f64 1/2 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2)))) 1/2))))))) (.f64 R 2))
	30.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (*.f64 R 2))
▶	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))) (.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (+.f64 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -1))))) (*.f64 R 2))
▶	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (*.f64 R 2))
	33.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	35.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2)))) 1/2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	33.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	44.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) -1) (+.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) -2))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2)))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	30.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	32.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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))))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))) (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 2)))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	33.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4))) 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))))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	21.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
▶	21.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	30.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	33.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	31.6b	(.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.5b	(.f64 R (.f64 2 (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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))

Compiler

Compiled 7008 to 5010 computations (28.5% saved)

localize769.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
✓	1.2b	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 487 to 211 computations (56.7% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	inf	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
2.0ms	lambda2	@	inf	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
1.0ms	lambda2	@	-inf	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
1.0ms	lambda1	@	-inf	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
1.0ms	lambda1	@	0	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))

rewrite312.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-57`
652×	`rational_best-simplify-51`
648×	`rational_best-simplify-66`
634×	`rational_best-4`
634×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	117	17
2	335	17
3	1426	17

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify255.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-51`
1262×	`rational_best-simplify-57`
990×	`rational_best-simplify-65`
962×	`rational_best-simplify-49`
816×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2391
1	366	2299
2	829	1467
3	2655	1419

Stop Event

1×	node limit

Counts

61 → 77

Calls

Call 1

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

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

localize564.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	1.2b	(-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 329 to 186 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite171.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best-simplify-51`
820×	`rational_best-simplify-47`
794×	`rational_best-simplify-57`
708×	`rational_best-2`
708×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	63	23
2	126	23
3	381	23
4	1542	23

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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(-.f64 lambda1 lambda2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 3/2) 2) (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/8 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) (+.f64 (-.f64 1/8 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) (-.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/8 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) (/.f64 (/.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 3/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/8 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 8)) (/.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 3/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) 1/2) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1/2) (neg.f64 (+.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (-.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (neg.f64 (+.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2) (-.f64 1/4 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 4) (/.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2) (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)) (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (/.f64 (PI.f64) 2)))) (cos.f64 (-.f64 (+.f64 (-.f64 lambda2 lambda1) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2))))))

simplify301.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational_best-simplify-3`
1152×	`rational_best-simplify-51`
900×	`rational_best-simplify-67`
628×	`rational_best-simplify-64`
602×	`rational_best-simplify-75`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2376
1	438	2278
2	1012	2080
3	2995	1840

Stop Event

1×	node limit

Counts

58 → 90

Calls

Call 1

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

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))) -1/2))
(+.f64 (.f64 1/2 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2)))) 1/2)
(+.f64 1/2 (.f64 1/2 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2)))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 2) 1/4)) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (pow.f64 lambda1 3) -1/12))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/12 (pow.f64 lambda1 3)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (.f64 1/4 (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 -1/12 (pow.f64 lambda1 3)))))) (.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
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(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2) -1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) 4)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 4) 8)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) -2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2)))) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)) (-.f64 lambda1 lambda2))))) 2)
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) 0)))) 2)
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda2 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) lambda1)))))) 2)
(/.f64 (-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda2 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) lambda1)))))) 2)
(+.f64 (-.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (+.f64 lambda2 (/.f64 (PI.f64) 2)))) -2))
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (/.f64 (PI.f64) 2)))) (cos.f64 (-.f64 (+.f64 (-.f64 lambda2 lambda1) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))))) 2)
(/.f64 (-.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 (-.f64 (+.f64 (-.f64 lambda2 lambda1) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))))) 2)
(/.f64 (-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (+.f64 lambda2 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 (-.f64 (+.f64 (-.f64 lambda2 lambda1) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))))) 2)
(/.f64 (-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (+.f64 lambda2 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (*.f64 2 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))) (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda1 lambda2))))) 4)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(neg.f64 (+.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) -1/2))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (.f64 lambda1 -1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (neg.f64 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))

localize594.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
✓	4.0b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 400 to 216 computations (46% saved)

series48.0ms (0%)

Counts

2 → 64

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	lambda1	@	0	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
4.0ms	phi1	@	inf	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
4.0ms	phi2	@	inf	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
4.0ms	lambda2	@	0	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
3.0ms	phi2	@	-inf	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))

rewrite383.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	106
1	196	104
2	458	100
3	1512	94
4	7226	94

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (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) (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 4))) (*.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 4))))))) (#(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 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (*.f64 (sin.f64 0) (sin.f64 (*.f64 (+.f64 (PI.f64) (-.f64 phi2 phi1)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (neg.f64 (*.f64 (sin.f64 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(PI.f64) (-.f64 phi2 phi1)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (neg.f64 (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) (/.f64 (neg.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 phi1 phi2) -2))) (*.f64 (cos.f64 0) (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 phi1 phi2) -2))) (+.f64 (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (cos.f64 0) (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 phi1 phi2) -2))) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (*.f64 (+.f64 (PI.f64) (-.f64 phi2 phi1)) 1/2))) (*.f64 (cos.f64 0) (sin.f64 (/.f64 (-.f64 phi1 phi2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 phi1 phi2) -2))) (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))) (*.f64 (cos.f64 0) (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (/.f64 (-.f64 phi1 phi2) -2))) (*.f64 (sin.f64 0) (sin.f64 (*.f64 (+.f64 (PI.f64) (-.f64 phi2 phi1)) 1/2)))) (*.f64 (cos.f64 0) (sin.f64 (/.f64 (-.f64 phi1 phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 phi2) (PI.f64)) 2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(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 1/2 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify508.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational_best-simplify-57`
1186×	`rational_best-simplify-51`
1184×	`rational_best-simplify-47`
1074×	`rational_best-simplify-3`
892×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	13549
1	1244	13031
2	3119	12843

Stop Event

1×	node limit

Counts

175 → 261

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) 1/2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) 1/2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) 1/2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (.f64 1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) 1/2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 lambda1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 lambda1)))))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (+.f64 -1 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) 0))
(-.f64 (-.f64 (neg.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) -1)
(-.f64 (neg.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 2 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (.f64 2 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) 0))
(-.f64 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (.f64 -2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))
(-.f64 (.f64 -2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (+.f64 (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) 0))
(-.f64 (.f64 -2 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (.f64 -2 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) -2))
(-.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (-.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))
(-.f64 (/.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) (/.f64 (neg.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 2))
(-.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (+.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) 1) (-.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) -1) (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))
(-.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) -2)
(-.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (-.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (neg.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))
(-.f64 (+.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (neg.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (+.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) 2) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (+.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (-.f64 -1 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (-.f64 2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (-.f64 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (-.f64 (.f64 -2 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) -2)
(-.f64 (-.f64 (-.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))
(-.f64 (-.f64 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (neg.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))))
(-.f64 (-.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (neg.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))
(-.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) -2)
(.f64 1/2 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 1 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(.f64 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) 1/2)
(.f64 (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (-.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) -1)
(.f64 (.f64 2 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 1/4)
(/.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(/.f64 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) 2)
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) -1)
(/.f64 (.f64 2 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 2 (.f64 2 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))) (.f64 2 (.f64 2 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 2 (.f64 -2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))) 4)
(pow.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1)
(neg.f64 (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(neg.f64 (-.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (neg.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(neg.f64 (-.f64 (+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 2))
(neg.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))

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

localize642.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	14.7b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))

Compiler

Compiled 397 to 239 computations (39.8% saved)

series65.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
12.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
8.0ms	lambda1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
3.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
3.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))

rewrite367.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational_best-simplify-56`
880×	`rational_best-simplify-62`
550×	`rational_best-4`
550×	`rational_best-2`
550×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97
1	188	97
2	423	97
3	1357	97
4	6070	97

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

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

Outputs

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

simplify626.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

980×	`rational_best-simplify-47`
966×	`rational_best-simplify-1`
908×	`rational_best-simplify-63`
838×	`rational_best-simplify-50`
766×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	11234
1	715	11144
2	1664	10578
3	4009	10388

Stop Event

1×	node limit

Counts

64 → 131

Calls

Call 1

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

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

localize955.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	2.9b	(cos.f64 (*.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))
	4.0b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 507 to 289 computations (43% saved)

eval14.9s (9.9%)

Compiler: Compiled 161888 to 98839 computations (38.9% saved)

prune8.6s (5.7%)

Pruning

103 alts after pruning (103 fresh and 0 done)

	Pruned	Kept	Total
New	2078	69	2147
Fresh	14	34	48
Picked	1	0	1
Done	4	0	4
Total	2097	103	2200

Error

12.6b

Counts

2200 → 103

Alt Table

Click to see full alt table

Status	Error	Program
	54.4b	(.f64 (atan2.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	53.9b	(.f64 (atan2.f64 (+.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (/.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	54.9b	(.f64 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	30.9b	(.f64 (atan2.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	58.5b	(.f64 (atan2.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
▶	58.7b	(.f64 (atan2.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	33.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	39.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	36.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 4))) 2) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 4))) 2) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	41.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	42.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) 2)) 2) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))))) (*.f64 R 2))
	41.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (-.f64 2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) 2)))))) (*.f64 R 2))
	41.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) (+.f64 (cos.f64 (+.f64 (-.f64 lambda2 lambda1) (PI.f64))) 2)) 2) 2)))))) (*.f64 R 2))
	30.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 R 2))
	42.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 (PI.f64)) phi2) 2))) 2) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (-.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 (PI.f64)) phi2) 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	21.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	44.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 (PI.f64)) phi2) 2))) 2) 2))))) (*.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (.f64 -2 (neg.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (-.f64 phi1 phi2) 4))))) 2))))) (.f64 R 2))
	33.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (*.f64 R 2))
	36.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))) (*.f64 R 2))
	44.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 phi2 phi1)) 1/2)) 2))))) (*.f64 R 2))
	32.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	31.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (-.f64 lambda1 lambda2) 2)))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 phi2 phi1)) 1/2)) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
	33.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 2)))) (sqrt.f64 (+.f64 (-.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 -2 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	32.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	42.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (-.f64 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1))) (.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (-.f64 (-.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)))) (.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (-.f64 2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)))))) (*.f64 R 2))
	22.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (.f64 2 (-.f64 2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 (+.f64 2 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	22.3b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1)) (-.f64 (+.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1))))) (.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 (.f64 -2 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 2) -1)))) (.f64 R 2))
	21.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))) 2)))))))) (.f64 R 2))
	32.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))))) (.f64 R 2))
	31.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))))) (.f64 R 2))
	30.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))))) (*.f64 R 2))
	49.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (/.f64 (-.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (+.f64 lambda2 (/.f64 (PI.f64) 2)))))) 2) (cos.f64 phi2)))))) (.f64 R 2))
	32.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))) (cos.f64 phi2)))))) (*.f64 R 2))
	44.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))) (cos.f64 phi2)))))) (.f64 R 2))
	42.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)))) (cos.f64 phi2)))))) (.f64 R 2))
	40.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	39.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (cos.f64 phi2)))))) (*.f64 R 2))
	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 3/2) 2) (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4) -1/4)) (cos.f64 phi2)))))) (*.f64 R 2))
	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -4) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 4))) (cos.f64 phi2)))))) (.f64 R 2))
	49.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (-.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1) (+.f64 lambda2 (/.f64 (PI.f64) 2)))) -2)) (cos.f64 phi2)))))) (.f64 R 2))
	44.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2)))) 1/2) (cos.f64 phi2)))))) (.f64 R 2))
	33.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (+.f64 -1/4 (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 3 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) 4)) (cos.f64 phi2)))))) (*.f64 R 2))
	22.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2))))) (.f64 R 2))
	22.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (+.f64 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -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 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (.f64 R 2))
	41.1b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 (PI.f64)) phi2) 2))) 2) 2) -1))))) (*.f64 R 2))
	42.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (-.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cos.f64 (/.f64 (-.f64 (-.f64 phi1 (PI.f64)) phi2) 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) -1))))) (.f64 R 2))
	30.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1))))) (*.f64 R 2))
	32.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (*.f64 R 2))
	31.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 lambda1) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (*.f64 R 2))
	33.4b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (.f64 R 2))
	40.8b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	40.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (*.f64 R 2))
	31.7b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	43.9b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 R 2))
▶	33.2b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (.f64 R 2))
	36.5b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 R 2))
	44.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.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 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	45.0b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))) (.f64 R 2))
	44.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1))))) (.f64 R 2))
	43.6b	(.f64 (atan2.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))))) (*.f64 R 2))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))) -1) (+.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (*.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2)))))))))
▶	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	30.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	32.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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))))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))) (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 2)))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	33.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cos.f64 (.f64 (+.f64 (PI.f64) (-.f64 lambda2 lambda1)) 1/2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 lambda1 lambda2) 4)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 4))) 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))))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (-.f64 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1) (cos.f64 (neg.f64 lambda2))) -1) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
▶	14.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	21.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	34.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	21.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (.f64 (.f64 (cos.f64 (/.f64 (-.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (-.f64 phi1 phi2) 4))) 2) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	30.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	30.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	33.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	42.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
▶	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 lambda1)) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))
	34.5b	(.f64 R (.f64 2 (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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (*.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (-.f64 phi1 phi2)) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 (cos.f64 phi2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2))))))))

Compiler

Compiled 13838 to 10084 computations (27.1% saved)

localize841.0ms (0.6%)

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 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))
	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
	1.2b	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 494 to 196 computations (60.3% saved)

series105.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	phi2	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))
20.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))
19.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))
5.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))
4.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))) (/.f64 (cos.f64 phi2) 2)))))

rewrite252.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational_best-simplify-57`
1048×	`rational_best-4`
1048×	`rational_best-2`
1048×	`rational_best-3`
1048×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	220	75
2	596	75
3	2384	75

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs

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

simplify589.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

958×	`rational_best-simplify-55`
924×	`rational_best-simplify-1`
782×	`rational_best-simplify-50`
772×	`rational_best-simplify-63`
728×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	11943
1	704	11867
2	1525	11299
3	3500	9269

Stop Event

1×	node limit

Counts

61 → 108

Calls

Call 1

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

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

localize295.0ms (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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
	1.2b	(-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 255 to 144 computations (43.5% saved)

localize464.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (-.f64 -1 (.f64 (+.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) -2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
✓	2.9b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
	2.9b	(cos.f64 (-.f64 lambda1 lambda2))
	4.0b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))

Compiler

Compiled 386 to 216 computations (44% saved)

series36.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
8.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
3.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
3.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))
1.0ms	phi2	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))

rewrite237.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`rational_best-simplify-56`
686×	`rational_best-simplify-62`
504×	`rational_best-simplify-81`
466×	`rational_best-4`
466×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	151	69
2	346	69
3	1123	69
4	4986	69

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify518.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

938×	`rational_best-simplify-55`
928×	`rational_best-simplify-1`
800×	`rational_best-simplify-50`
788×	`rational_best-simplify-47`
686×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	9262
1	656	9078
2	1463	8924
3	3380	8580

Stop Event

1×	node limit

Counts

64 → 86

Calls

Call 1

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

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

localize596.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.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)))))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.0b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 432 to 236 computations (45.4% saved)

series28.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	phi1	@	-inf	(-.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)))))
2.0ms	phi1	@	inf	(-.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)))))
2.0ms	lambda2	@	-inf	(-.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)))))
1.0ms	phi2	@	inf	(-.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)))))
1.0ms	phi1	@	0	(-.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)))))

rewrite368.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-85`
762×	`rational_best-simplify-62`
568×	`rational_best-simplify-86`
536×	`rational_best-4`
536×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	164	71
2	400	71
3	1294	71
4	5873	71

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (neg.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.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)))) 2)) (-.f64 1/2 (/.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)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.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)))) 2)) (neg.f64 (/.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)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 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simplify399.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best-simplify-56`
1092×	`rational_best-simplify-67`
894×	`rational_best-simplify-49`
776×	`rational_best-simplify-1`
652×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	5251
1	605	5139
2	1385	5085
3	3829	4857

Stop Event

1×	node limit

Counts

59 → 98

Calls

Call 1

Inputs
(-.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 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2))))))))) (+.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 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.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 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 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 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (.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 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/48 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 4) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 -1/1440 (.f64 (pow.f64 lambda2 6) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(+.f64 1 (-.f64 (neg.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 (+.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))))) 0)
(+.f64 0 (-.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 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (-.f64 (neg.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)))) 1)
(+.f64 (-.f64 1/2 (/.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)))) 2)) (-.f64 1/2 (/.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)))) 2)))
(+.f64 (-.f64 1 (/.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)))) 2)) (neg.f64 (/.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)))) 2)))
(+.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)))
(+.f64 (-.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) 2)))
(+.f64 (-.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -2) -2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 (-.f64 (.f64 (.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) -1)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 2) (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -2) -2)) 2))
(+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 2) (/.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -2) -2)) 2))
(+.f64 (/.f64 (-.f64 (neg.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 (+.f64 (-.f64 (neg.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) 2))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 2) (/.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -2)) 2))
(+.f64 (-.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1)))
(+.f64 (-.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -1)))
(+.f64 (-.f64 -1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -1)) (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (-.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -1)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 1 (-.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 1/2 (-.f64 (.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)))) -2) -2))
(.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))))) 1)
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) -1)) -1)
(.f64 (-.f64 (.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)))) -2) -2) 1/2)
(.f64 (.f64 2 (-.f64 (.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)))) -2) -2)) 1/4)
(/.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))))) 1)
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -1)) -1)
(/.f64 (-.f64 (.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)))) -2) -2) 2)
(/.f64 (.f64 2 (-.f64 (.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)))) -2) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.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)))) -2) -2)) (.f64 2 (-.f64 (.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)))) -2) -2))) 8)
(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -2) -2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -2)) 2)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -2) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) -2) -2)) 2)
(pow.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))))) 1)
(neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) -1)))
(neg.f64 (+.f64 (neg.f64 (-.f64 1 (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)))))
(neg.f64 (+.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))

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

localize446.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1 (cos.f64 (neg.f64 lambda2)))
	1.2b	(-.f64 1 (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2)))))
✓	1.2b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (/.f64 (cos.f64 phi2) 2)))))
	4.0b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 472 to 209 computations (55.7% saved)

series30.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite446.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best-simplify-62`
590×	`rational_best-simplify-81`
540×	`rational_best-4`
540×	`rational_best-2`
540×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	160	88
2	396	88
3	1322	88
4	6352	88

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify433.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational_best-simplify-48`
1148×	`rational_best-simplify-52`
1100×	`rational_best-simplify-63`
850×	`rational_best-simplify-51`
818×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	7497
1	688	7427
2	1494	7127
3	3965	7063

Stop Event

1×	node limit

Counts

85 → 116

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) (+.f64 (.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 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))) (+.f64 (.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 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) 2)) (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2)))))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))))) (pow.f64 phi2 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 lambda2 4) (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 lambda2 4) (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 lambda2 6) (-.f64 (.f64 1/1440 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (.f64 -1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (.f64 -1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (.f64 -1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1 (cos.f64 (.f64 -1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(*.f64 1/2 (pow.f64 lambda2 2))
(+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (.f64 1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (*.f64 1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 1/720 (pow.f64 lambda2 6)) (+.f64 (.f64 -1/24 (pow.f64 lambda2 4)) (+.f64 (.f64 -1/40320 (pow.f64 lambda2 8)) (.f64 1/2 (pow.f64 lambda2 2)))))
(-.f64 1 (cos.f64 (*.f64 -1 lambda2)))
(-.f64 1 (cos.f64 (*.f64 -1 lambda2)))
(-.f64 1 (cos.f64 (*.f64 -1 lambda2)))
(-.f64 1 (cos.f64 (*.f64 -1 lambda2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 2) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 2))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)))))) 2))
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 1/2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 1/2))))) 1)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)))))) 1/2)
(.f64 (.f64 2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 1/2))))))) 1/4)
(.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi1) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (cos.f64 phi2))) (.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) 1/2)))))) 2)
(/.f64 (.f64 2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))))) (.f64 2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2)))))))) 8)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) 1/2))))) 1)
(+.f64 1 (neg.f64 (cos.f64 (neg.f64 lambda2))))
(+.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 0)
(+.f64 0 (-.f64 1 (cos.f64 (neg.f64 lambda2))))
(+.f64 (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2)) (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2)))
(+.f64 (+.f64 1/4 (/.f64 (cos.f64 (neg.f64 lambda2)) -4)) (+.f64 (+.f64 1/4 (/.f64 (cos.f64 (neg.f64 lambda2)) -4)) (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2))))
(+.f64 (neg.f64 (cos.f64 (neg.f64 lambda2))) 1)
(+.f64 (/.f64 (cos.f64 (neg.f64 lambda2)) -2) (+.f64 1/2 (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2))))
(+.f64 (/.f64 (cos.f64 (neg.f64 lambda2)) -2) (/.f64 (+.f64 (neg.f64 (cos.f64 (neg.f64 lambda2))) 2) 2))
(+.f64 (-.f64 1 (/.f64 (cos.f64 (neg.f64 lambda2)) 2)) (/.f64 (cos.f64 (neg.f64 lambda2)) -2))
(*.f64 2 (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2)))
(*.f64 1 (-.f64 1 (cos.f64 (neg.f64 lambda2))))
(*.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1)
(*.f64 (+.f64 1/2 (/.f64 (cos.f64 (neg.f64 lambda2)) -2)) 2)
(*.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) -1) -1)
(.f64 1/2 (.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) 1/2)
(*.f64 -2 (+.f64 (/.f64 (cos.f64 (neg.f64 lambda2)) 2) -1/2))
(.f64 (.f64 2 (*.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) 1/4)
(/.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1)
(/.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) -1) -1)
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))) 2)
(/.f64 (.f64 2 (.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2))))) (.f64 2 (.f64 2 (-.f64 1 (cos.f64 (neg.f64 lambda2)))))) 8)
(pow.f64 (-.f64 1 (cos.f64 (neg.f64 lambda2))) 1)
(neg.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) -1))

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

eval1.4s (1%)

Results

Compiler

Compiled 169214 to 98961 computations (41.5% saved)

Details

analyze9.8s (6.5%)

sample1.1min (42.4%)

preprocess386.0ms (0.3%)

simplify267.0ms (0.2%)

eval23.0ms (0%)

prune56.0ms (0%)

localize736.0ms (0.5%)

series154.0ms (0.1%)

rewrite277.0ms (0.2%)

simplify826.0ms (0.6%)

localize403.0ms (0.3%)

series19.0ms (0%)

rewrite298.0ms (0.2%)

simplify549.0ms (0.4%)

localize358.0ms (0.2%)

series42.0ms (0%)

rewrite417.0ms (0.3%)

simplify588.0ms (0.4%)

localize500.0ms (0.3%)

series33.0ms (0%)

rewrite228.0ms (0.2%)

simplify513.0ms (0.3%)

localize501.0ms (0.3%)

series49.0ms (0%)

rewrite290.0ms (0.2%)

simplify783.0ms (0.5%)

eval16.9s (11.3%)

prune13.9s (9.2%)

localize769.0ms (0.5%)

series8.0ms (0%)

rewrite312.0ms (0.2%)

simplify255.0ms (0.2%)

localize564.0ms (0.4%)

series1.0ms (0%)

rewrite171.0ms (0.1%)

simplify301.0ms (0.2%)

localize594.0ms (0.4%)

series48.0ms (0%)

rewrite383.0ms (0.3%)

simplify508.0ms (0.3%)

localize642.0ms (0.4%)

series65.0ms (0%)

rewrite367.0ms (0.2%)

simplify626.0ms (0.4%)

localize955.0ms (0.6%)

eval14.9s (9.9%)

prune8.6s (5.7%)

localize841.0ms (0.6%)

series105.0ms (0.1%)

rewrite252.0ms (0.2%)

simplify589.0ms (0.4%)

localize295.0ms (0.2%)

localize464.0ms (0.3%)

series36.0ms (0%)

rewrite237.0ms (0.2%)

simplify518.0ms (0.3%)

localize596.0ms (0.4%)

series28.0ms (0%)

rewrite368.0ms (0.2%)

simplify399.0ms (0.3%)

localize446.0ms (0.3%)

series30.0ms (0%)

rewrite446.0ms (0.3%)

simplify433.0ms (0.3%)

eval1.4s (1%)

Profiling