Details

analyze8.3s (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample21.2s (43.6%)

Results

15.6s	5372×	body	1024	valid
2.5s	454×	body	2048	valid
2.2s	1317×	body	512	valid
443.0ms	413×	body	256	valid
360.0ms	700×	body	128	valid
2.0ms	1×	body	1024	invalid
2.0ms	1×	body	512	invalid

Compiler

Compiled 142 to 94 computations (33.8% saved)

preprocess55.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

442×	`rules-13_binary64`
258×	`rules-15-rev_binary64`
239×	`rules-20_binary64`
232×	`rules-11_binary64`
231×	`rules-14-rev_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1133
1	348	1065
2	1008	1057
3	3385	1057
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 (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 (-.f64 1 (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 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 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 (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 lambda1 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 2 lambda1))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 2 (.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))) lambda2))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 2 (.f64 lambda2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.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 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 (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)))))))) phi1))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (.f64 2 phi1))
(.f64 2 (.f64 phi1 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (cos.f64 R)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (cos.f64 R)))))))) (.f64 phi2 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))))) (.f64 2 phi2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))))) (.f64 2 phi2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 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 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 lambda1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))))))))
(.f64 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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 phi1 lambda1) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (cos.f64 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (cos.f64 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) (.f64 (cos.f64 phi1) (cos.f64 lambda2))))))))))
(.f64 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)) (pow.f64 (sin.f64 (/.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)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))))) (.f64 R 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 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 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 phi2 phi1) 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 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 phi2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.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 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))))) (.f64 R 2))

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Rules

682×	`rules-20_binary64`
389×	`rules-12-rev_binary64`
207×	`rules-4_binary64`
205×	`rules-15_binary64`
182×	`rules-6_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	48	99
2	117	99
3	344	99
4	2151	99

Stop Event

1×	node limit

Counts

1 → 2

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

prune10.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

24.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	24.5b	(.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))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Status

Error

Program

▶

24.5b

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))

24.5b

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

Compiler

Compiled 409 to 260 computations (36.4% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))
✓	0.8b	(-.f64 1 (fma.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 phi1 phi2) 2)) 2)))
✓	3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series224.0ms (0.5%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
17.0ms	lambda1	@	0	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))
16.0ms	lambda2	@	0	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))
14.0ms	phi2	@	0	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))
13.0ms	phi1	@	0	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))
10.0ms	phi1	@	inf	(sqrt.f64 (fma.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 phi1 phi2) 2)) 2)))

rewrite40.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

231×	`add-sqr-sqrt_binary64`
227×	`pow1_binary64`
227×	`rules-40_binary64`
227×	`rules-41_binary64`
227×	`rules-42_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
1	505	91

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (sqrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 (/.f64 1 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 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lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (+.f64 1 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 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(.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))

simplify105.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

724×	`rules-13_binary64`
291×	`rules-21_binary64`
255×	`rules-20_binary64`
249×	`rules-11_binary64`
184×	`rules-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	8802
1	2111	8802

Stop Event

1×	node limit

Counts

212 → 174

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (.f64 1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(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 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(-.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))))
(-.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (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 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 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 phi2))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (cos.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 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 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 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (sin.f64 (.f64 1/2 phi1))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.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 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)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (pow.f64 phi2 2)))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 phi2 2))))))
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(-.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (cos.f64 phi1)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 3) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (sin.f64 (.f64 1/2 lambda1)))))))) (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 3))))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 5))) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 3) (.f64 (pow.f64 (cos.f64 phi2) 3) (.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 3))))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))

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

prune1.3s (2.8%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	260	39	299
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	262	39	301

Error

22.9b

Counts

301 → 39

Alt Table

Status	Error	Program
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	32.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 1/2 phi1)) 2)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
	24.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
▶	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	34.9b	(.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 (fma.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 phi1 phi2) 2)) 2)))))))
	37.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1) (fma.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)))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) 3)) (+.f64 1 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (fma.f64 1/8 (.f64 (cos.f64 phi2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (fma.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)))) (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (fma.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 1/8 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (cos.f64 phi2))) (.f64 (sqrt.f64 (/.f64 1 (fma.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 lambda2 lambda2))) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi1) 2)) (.f64 lambda2 lambda2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.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)) 3))))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	32.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	33.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 -1/2 phi2)) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (sqrt.f64 (fma.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	38.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (.f64 phi1 phi1))))) (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1))))) -1))))))
	25.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 (/.f64 1 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))))) 2)))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	24.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
	41.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 (fma.f64 1/4 (.f64 (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) 1) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (pow.f64 lambda1 3) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/6 (cos.f64 phi2)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 lambda1) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	37.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2)))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.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 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2)))))))

Compiler

Compiled 33251 to 20470 computations (38.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
✓	3.7b	(cos.f64 (-.f64 lambda1 lambda2))
	3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series11.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite55.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`rules-20_binary64`
276×	`rules-13_binary64`
222×	`rules-34-rev_binary64`
185×	`rules-21_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	206	18
2	2916	18

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 lambda1 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (neg.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 0)) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1 (/.f64 0 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (/.f64 0 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (+.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 0 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (/.f64 0 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 lambda1) (+.f64 (cos.f64 lambda2) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (/.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (fabs.f64 (-.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.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)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 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(-.f64 lambda1 lambda2)) 1/2))) 2) (+.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (/.f64 0 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (fabs.f64 (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (+.f64 (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (/.f64 0 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (/.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (fabs.f64 (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (+.f64 (/.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (/.f64 0 (sqrt.f64 (*.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) (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 0 (-.f64 (/.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (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)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (cbrt.f64 (*.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)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3) (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (*.f64 0 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))))))) (#(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 pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (/.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))))

simplify24.0ms (0%)

Algorithm

1×	egg-herbie

Rules

510×	`rules-11_binary64`
496×	`rules-4_binary64`
247×	`rules-20_binary64`
202×	`rules-13_binary64`
169×	`rules-6_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	369
1	242	347
2	1079	329

Stop Event

1×	node limit

Counts

136 → 150

Calls

Call 1

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

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

prune1.7s (3.5%)

Pruning

47 alts after pruning (47 fresh and 0 done)

	Pruned	Kept	Total
New	249	27	276
Fresh	18	20	38
Picked	1	0	1
Done	0	0	0
Total	268	47	315

Error

22.7b

Counts

315 → 47

Alt Table

Status	Error	Program
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	31.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2))) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) -1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2))) 2))))))))
	34.9b	(.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 (fma.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 phi1 phi2) 2)) 2)))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (fabs.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) 3)) (+.f64 1 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (sqrt.f64 (fma.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	38.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (.f64 phi1 phi1))))) (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1))))) -1))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 2))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	24.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (fabs.f64 (/.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	37.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 1/2 (-.f64 (fma.f64 (neg.f64 (sin.f64 lambda2)) lambda1 1) (cos.f64 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
	29.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (/.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	33.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	41.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 (fma.f64 1/4 (.f64 (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) 1) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (pow.f64 lambda1 3) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/6 (cos.f64 phi2)))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 lambda1) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	40.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (*.f64 (sin.f64 lambda1) (fabs.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 lambda1)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (+.f64 1 (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
▶	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 -1/2 phi2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (fma.f64 1/8 (.f64 (cos.f64 phi2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (fma.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)))) (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (fma.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 1/8 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (cos.f64 phi2))) (.f64 (sqrt.f64 (/.f64 1 (fma.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 lambda2 lambda2))) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi1) 2)) (.f64 lambda2 lambda2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.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)) 3))))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	32.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))

Compiler

Compiled 26762 to 15674 computations (41.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))
✓	1.7b	(-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2))))))
	3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series137.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	lambda2	@	inf	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))
12.0ms	phi1	@	inf	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))
12.0ms	lambda1	@	inf	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))
12.0ms	phi2	@	inf	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))
11.0ms	lambda2	@	-inf	(-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))

rewrite35.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`pow1_binary64`
298×	`rules-40_binary64`
298×	`rules-41_binary64`
298×	`rules-42_binary64`
298×	`rules-43_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	660	73

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 3)) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) 3)) (+.f64 1 (+.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (*.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
443×	`rules-13_binary64`
350×	`rules-20_binary64`
250×	`rules-1_binary64`
248×	`rules-7-rev_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	4365
1	1058	4119

Stop Event

1×	node limit

Counts

97 → 78

Calls

Call 1

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

prune1.5s (3.1%)

Pruning

48 alts after pruning (48 fresh and 0 done)

	Pruned	Kept	Total
New	182	22	204
Fresh	20	26	46
Picked	1	0	1
Done	0	0	0
Total	203	48	251

Error

22.6b

Counts

251 → 48

Alt Table

Status	Error	Program
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	40.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1)) (.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi1))))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) -1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	31.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2))) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (fabs.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
▶	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	36.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 -1/2 phi2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	35.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 1/2))) 2))))))))
	33.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	24.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (.f64 (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (fabs.f64 (/.f64 (-.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
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	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))
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	37.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (sin.f64 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/2 (cos.f64 phi2)))))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
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	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
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	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1))) (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 phi1)) 2))) (fma.f64 1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	38.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	36.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	34.9b	(.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 (fma.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 phi1 phi2) 2)) 2)))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (fma.f64 1/8 (.f64 (cos.f64 phi2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (sqrt.f64 (fma.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)))) (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (fma.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 1/8 (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (cos.f64 phi2))) (.f64 (sqrt.f64 (/.f64 1 (fma.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 lambda2 lambda2))) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi1) 2)) (.f64 lambda2 lambda2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.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)) 3))))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (sqrt.f64 (fma.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))

Compiler

Compiled 24444 to 13740 computations (43.8% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))
✓	1.7b	(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
	3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series138.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	lambda1	@	-inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))
12.0ms	lambda2	@	-inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))
12.0ms	phi2	@	-inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))
12.0ms	phi1	@	-inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))
11.0ms	lambda2	@	inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))

rewrite37.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`pow1_binary64`
299×	`rules-40_binary64`
299×	`rules-41_binary64`
299×	`rules-42_binary64`
299×	`rules-43_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	69
1	667	69

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (/.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 3)) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (*.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) 3)) (+.f64 1 (+.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (*.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))))

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary64`
442×	`rules-13_binary64`
351×	`rules-20_binary64`
250×	`rules-1_binary64`
248×	`rules-7-rev_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	4365
1	1058	4119

Stop Event

1×	node limit

Counts

98 → 80

Calls

Call 1

Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/12 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))) (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/2 (cos.f64 phi2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (.f64 1/2 (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (sin.f64 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/2 (cos.f64 phi2))))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (sin.f64 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (*.f64 1/2 (cos.f64 phi2))))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 phi1))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 phi1))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 phi2 2)))))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.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 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 1/2 (.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 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 (.f64 1/2 (.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 (cos.f64 lambda2) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 1/12 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 lambda2 (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 lambda2 (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.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 lambda2)))
(*.f64 1/2 (-.f64 1 (cos.f64 lambda2)))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) 1/4)) (-.f64 (.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2))) 1/2))
(-.f64 (.f64 (.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) 1/4)) (fma.f64 1/2 (fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2)) -1/2))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/2 (cos.f64 lambda2))))
(-.f64 (fma.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) 1/4))) (-.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2))) 1/2))
(-.f64 (fma.f64 (sin.f64 lambda2) (.f64 1/12 (pow.f64 lambda1 3)) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 lambda2) 1/4))) (fma.f64 1/2 (fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2)) -1/2))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1)))))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)))) (.f64 1/2 (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))))
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(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/12 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))) (+.f64 (.f64 1/2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) lambda2))))
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(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
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(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 1/2 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
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(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))))) (-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (*.f64 1/2 (cos.f64 phi2))) 1))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1) (fma.f64 1/2 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (.f64 1/2 (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))))))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))))) (-.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (fma.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1) (.f64 1/2 (cos.f64 phi2)))) 1))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1) (fma.f64 1/2 (cos.f64 phi2) (.f64 (sin.f64 (.f64 phi2 -1/2)) (+.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 phi1 (cos.f64 (*.f64 phi2 -1/2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (sin.f64 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/2 (cos.f64 phi2))))))))
(-.f64 (+.f64 1 (fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (fma.f64 1/4 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) (fma.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 phi1 phi1)) (.f64 1/2 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) (fma.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1) (.f64 1/2 (cos.f64 phi2))))))))
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(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (sin.f64 lambda2))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 phi1 2))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (*.f64 1/2 (cos.f64 phi2))))))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 phi1 3) (cos.f64 (.f64 phi2 -1/2)))) (fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (fma.f64 1/4 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) (fma.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 phi1 phi1)) (.f64 1/2 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))) (-.f64 (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) (fma.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1) (.f64 1/2 (cos.f64 phi2))))))) 1))
(-.f64 (fma.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 1/6 (pow.f64 phi1 3)) (+.f64 (.f64 (.f64 phi1 phi1) (+.f64 (.f64 1/4 (cos.f64 phi2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (.f64 phi1 (.f64 phi1 (cos.f64 lambda1))) (cos.f64 phi2))) (fma.f64 1/4 (.f64 (sin.f64 lambda2) (.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (.f64 phi1 phi1))) (fma.f64 1/4 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) phi1)) (fma.f64 1/2 (cos.f64 phi2) (.f64 (sin.f64 (.f64 phi2 -1/2)) (+.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 phi1 (cos.f64 (.f64 phi2 -1/2))))))))) -1))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (cos.f64 phi1))))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 1/2 (sin.f64 lambda1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (*.f64 1/2 (cos.f64 phi1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi1)) 2))) (fma.f64 1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/2 (cos.f64 phi1))))
(-.f64 (fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (+.f64 1 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (.f64 phi2 (.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 (cos.f64 phi1))))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) (fma.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)) 1))) (fma.f64 1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 phi1))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))))))))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (fma.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 phi2)) (fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (cos.f64 phi1) (.f64 1/4 (.f64 phi2 phi2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2)))) (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2)))) (fma.f64 1/2 (cos.f64 phi1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 phi2 phi2) 1/4)))))))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) (.f64 (.f64 phi2 phi2) (+.f64 (.f64 1/4 (cos.f64 phi1)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (fma.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 1/4 (fma.f64 (.f64 phi2 phi2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) 2)) (.f64 1/4 (+.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 phi2 phi2))) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 phi2 phi2))))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 phi1))))) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 phi2 2)))))))))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (fma.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 phi2)) (fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (.f64 (cos.f64 phi1) (.f64 1/4 (.f64 phi2 phi2)))))))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 1/4 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2)))) (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2)))) (fma.f64 1/2 (cos.f64 phi1) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 phi2 phi2) 1/4))))))))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) (.f64 (.f64 phi2 phi2) (+.f64 (.f64 1/4 (cos.f64 phi1)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (fma.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)) 1))) (+.f64 (fma.f64 1/4 (fma.f64 (.f64 phi2 phi2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) 2)) (.f64 1/4 (+.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 phi1) (.f64 phi2 phi2))) (.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 phi2 phi2)))))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 lambda1))) (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 lambda2 (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 lambda1))) (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (fma.f64 1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (.f64 1/2 (+.f64 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (fma.f64 1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 lambda2 (cos.f64 phi1))))) (+.f64 1 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 lambda1))) (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (fma.f64 1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/12 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (.f64 1/2 (+.f64 (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2) (.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (fma.f64 1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/12 (.f64 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 1 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (cos.f64 phi1))))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 1 (.f64 1/2 (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi1)) (.f64 (sin.f64 lambda1) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi1)) 2))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))

prune1.3s (2.7%)

Pruning

47 alts after pruning (47 fresh and 0 done)

	Pruned	Kept	Total
New	194	12	206
Fresh	12	35	47
Picked	1	0	1
Done	0	0	0
Total	207	47	254

Error

22.6b

Counts

254 → 47

Alt Table

Status	Error	Program
	40.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1)) (.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi1))))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1)))) (*.f64 1/2 (cos.f64 phi1))))))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
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	36.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 1/2 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi1)) (fma.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (fma.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1))) (.f64 (.f64 phi2 phi2) (+.f64 (.f64 1/4 (cos.f64 phi1)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))) (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 1/4 (fma.f64 (.f64 phi2 phi2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) 2)) (.f64 1/4 (+.f64 (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 phi2 (.f64 (cos.f64 phi1) phi2)))) (.f64 (cos.f64 lambda1) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 phi2 phi2))))))) -1)))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	40.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (*.f64 (sin.f64 lambda1) (fabs.f64 (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 lambda1)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (.f64 1/2 (cos.f64 phi2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))))))))))
	36.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	40.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi1)) (.f64 lambda1 (.f64 (sin.f64 lambda2) (cos.f64 phi1))))) 1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/12 (.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (cos.f64 phi1))) (.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (cos.f64 phi1))))))))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 1/2 (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) 1) (fma.f64 1/2 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))))
	32.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi1))) (fma.f64 (cos.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 phi1)) 2))) (fma.f64 1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (*.f64 1/2 lambda1))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	38.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (/.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))
	34.9b	(.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 (fma.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 phi1 phi2) 2)) 2)))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.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 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) (cbrt.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)))) 2))) (sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (sqrt.f64 (fma.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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))) (sqrt.f64 (-.f64 1 (fma.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 phi1 phi2) 2)) 2)))))))

Compiler

Compiled 20392 to 11390 computations (44.1% saved)

regimes10.1s (20.9%)

Accuracy

Total 1.2b remaining (5.4%)

Threshold costs 0b (0%)

Counts

358 → 1

Compiler

Compiled 352730 to 240093 computations (31.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	109
1	42	109

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.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 phi1 phi2) 2)) 2))) (sqrt.f64 (fabs.f64 (log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))))))))

end2.0s (4.1%)

Stop Event

1×

fuel

Compiler

Compiled 4044 to 2745 computations (32.1% saved)

Details

analyze8.3s (17%)

sample21.2s (43.6%)

preprocess55.0ms (0.1%)

simplify23.0ms (0%)

prune10.0ms (0%)

localize23.0ms (0%)

series224.0ms (0.5%)

rewrite40.0ms (0.1%)

simplify105.0ms (0.2%)

prune1.3s (2.8%)

localize32.0ms (0.1%)

series11.0ms (0%)

rewrite55.0ms (0.1%)

simplify24.0ms (0%)

prune1.7s (3.5%)

localize39.0ms (0.1%)

series137.0ms (0.3%)

rewrite35.0ms (0.1%)

simplify58.0ms (0.1%)

prune1.5s (3.1%)

localize43.0ms (0.1%)

series138.0ms (0.3%)

rewrite37.0ms (0.1%)

simplify59.0ms (0.1%)

prune1.3s (2.7%)

regimes10.1s (20.9%)

simplify2.0ms (0%)

end2.0s (4.1%)

Profiling