Details

analyze2.7s (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample16.8s (17.7%)

Results

12.9s	5519×	body	1024	valid
1.7s	419×	body	2048	valid
1.6s	1263×	body	512	valid
577.0ms	1055×	body	256	valid
4.0ms	2×	body	1024	infinite
1.0ms	1×	body	256	infinite

Bogosity

preprocess82.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1282×	`associate--r+`
1218×	`+-commutative`
882×	`associate-+l+`
872×	`distribute-lft-in`
852×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2191
1	396	2103
2	973	2103
3	2449	2103
4	4473	2103
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 75 to 51 computations (32% saved)

simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1362×	`distribute-lft-neg-in`
1026×	`distribute-lft-in`
928×	`distribute-rgt-neg-in`
784×	`associate-+l+`
780×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	205
1	61	197
2	131	197
3	298	197
4	685	197
5	1620	197
6	3298	197
7	5810	197
8	7907	197

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

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

eval5.0ms (0%)

Compiler: Compiled 387 to 225 computations (41.9% saved)

prune9.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

22.4b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(.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)))))))
▶	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
▶	22.5b	(.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)))))))))
▶	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 276 to 181 computations (34.4% saved)

localize192.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
✓	0.6b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 406 to 215 computations (47% saved)

series31.0ms (0%)

Counts

4 → 120

Calls

30 calls:

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

rewrite114.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
558×	`pow1`
536×	`+-commutative`
528×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	138
1	542	126
2	7675	126

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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simplify189.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-r`
1002×	`+-commutative`
868×	`associate-l`
852×	`associate-+l+`
766×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	16464
1	1579	15664
2	5819	15660

Stop Event

1×	node limit

Counts

224 → 269

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
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(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))

Outputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 lambda1)) (sin.f64 (.f64 -1/2 lambda2))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.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 (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/48) (pow.f64 lambda1 3) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (*.f64 lambda1 lambda1) -1/8))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (.f64 1/2 lambda1))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(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)))))
(fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (sin.f64 (*.f64 1/2 phi1)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 1) (neg.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) (+.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 phi1) phi1)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 phi1 (.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 1) (.f64 -1 (+.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) (+.f64 (neg.f64 (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6))))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (neg.f64 (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6))))) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(fma.f64 1/2 (.f64 (.f64 lambda1 lambda1) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))))) 2)))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (fma.f64 1/2 (.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/6)) (.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 -1/2 lambda2)) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))))) 2))))))) (.f64 (pow.f64 lambda1 3) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3/2)) (sqrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 4) (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))
(pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/2)
(sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) 1/3)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fabs.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))
(hypot.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(hypot.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2))
(sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 1))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize222.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series13.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite173.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`add-sqr-sqrt`
548×	`*-un-lft-identity`
546×	`pow1`
524×	`+-commutative`
516×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	184
1	535	136
2	7386	136

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Inputs

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

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

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

Outputs

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

simplify277.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-r`
1066×	`associate--l+`
818×	`associate-l`
802×	`fma-def`
788×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	21571
1	1601	20793
2	6217	20791

Stop Event

1×	node limit

Counts

171 → 220

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3)
(fabs.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))
(hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))

Outputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 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)))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 1) (neg.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (-.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))) 1) (.f64 -1 (+.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3))))) (+.f64 (pow.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 (fma.f64 -1 (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (.f64 -1/6 (pow.f64 phi1 3)))) 1) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (neg.f64 (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (.f64 -1/6 (pow.f64 phi1 3))))) (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(fma.f64 (.f64 (neg.f64 phi2) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6) (pow.f64 phi2 3)) (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(fma.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6))) (pow.f64 phi2 3) (fma.f64 (.f64 (neg.f64 phi2) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(-.f64 (fma.f64 (.f64 (neg.f64 phi2) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6)) (pow.f64 phi2 3)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 lambda1 (cos.f64 phi1)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (.f64 lambda1 (cos.f64 phi2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (*.f64 lambda1 (cos.f64 phi2))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 lambda1 (cos.f64 phi1)))) (fma.f64 -1 (.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)))) 1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (-.f64 1 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)) (cos.f64 phi2)))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (.f64 lambda1 (cos.f64 phi2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (.f64 lambda1 (cos.f64 phi2)))))) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)) (cos.f64 phi2)))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 lambda1 (cos.f64 phi1)))) (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) -1/6) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (fma.f64 -1 (.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)))) 1))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fma.f64 (neg.f64 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (-.f64 (-.f64 (-.f64 1 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)) (cos.f64 phi2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) -1/6)) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(fma.f64 (neg.f64 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (-.f64 (-.f64 (-.f64 1 (.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) -1/6)) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)) (cos.f64 phi2)))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (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)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(fma.f64 1/2 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))))) 2)) (.f64 (.f64 lambda1 lambda1) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (.f64 lambda1 (cos.f64 phi2))))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (fma.f64 1/2 (.f64 (pow.f64 lambda1 3) (.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/6)) (.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 -1/2 lambda2)) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))))) 2))))))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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(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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(sqrt.f64 (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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))
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(.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.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))))
(.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.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))) 2)) (sqrt.f64 (cbrt.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)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.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))) 2)) (sqrt.f64 (cbrt.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)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 3) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.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 (hypot.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) 3/2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))))
(pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/2)
(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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 1)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 2)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 3)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3)
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fabs.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))
(hypot.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(hypot.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2))
(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 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize247.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
✓	3.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.9b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	3.9b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 428 to 225 computations (47.4% saved)

series27.0ms (0%)

Counts

4 → 104

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	lambda2	@	inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	lambda1	@	inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	phi2	@	inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms	lambda1	@	0	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms	lambda2	@	0	(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

rewrite129.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`add-sqr-sqrt`
546×	`*-un-lft-identity`
544×	`pow1`
516×	`add-exp-log`
516×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	122
1	537	86
2	7277	86

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 0)) (sqrt.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2) (cbrt.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 0)) (pow.f64 (cbrt.f64 (sin.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 0) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 0))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 0) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 0)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 0)) (sqrt.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2) (cbrt.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 0)) (pow.f64 (cbrt.f64 (sin.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 0) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 0))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 0) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 0)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))

simplify157.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1426×	`distribute-lft-in`
1408×	`distribute-rgt-in`
914×	`associate-r`
746×	`+-commutative`
706×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	12877
1	1281	11947
2	4091	11947

Stop Event

1×	node limit

Counts

193 → 229

Calls

Call 1

Inputs
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
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(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
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(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 phi2))
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(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
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(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) 1)
(.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)
(.f64 1 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))
(pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))

Outputs
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (.f64 1/2 lambda1))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 -1/8 (sin.f64 (.f64 -1/2 lambda2))) (*.f64 lambda1 lambda1)))
(fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 -1/2 lambda2))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.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 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 (.f64 -1/8 (sin.f64 (.f64 -1/2 lambda2))) (*.f64 lambda1 lambda1))))
(+.f64 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 lambda1))
(sin.f64 (*.f64 lambda1 -1/2))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 lambda1 -1/2))))
(fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2))) (sin.f64 (*.f64 lambda1 -1/2)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 lambda1 -1/2)) (fma.f64 -1/8 (.f64 (.f64 lambda2 lambda2) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 lambda1 -1/2)))))
(+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 lambda1 -1/2))))
(+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (*.f64 lambda1 -1/2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 lambda1 -1/2))) (+.f64 (sin.f64 (.f64 lambda1 -1/2)) (fma.f64 -1/8 (.f64 (.f64 lambda2 lambda2) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 lambda1 -1/2))))))
(fma.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 lambda1 -1/2))) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 lambda1 -1/2)))))
(fma.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 lambda1 -1/2))) (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (*.f64 lambda1 -1/2)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (*.f64 1/2 lambda2)))))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (sin.f64 (.f64 1/2 lambda2))))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.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 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (.f64 1/2 lambda2))) (.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (*.f64 1/2 lambda2))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (.f64 1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (*.f64 1/2 lambda2))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (.f64 1/2 lambda2))) (.f64 1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (*.f64 1/2 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 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) phi2 (sin.f64 (*.f64 1/2 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (*.f64 1/2 phi1)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(sqrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (.f64 phi2 phi2) (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4))) (pow.f64 (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1)))) 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 phi2 (.f64 phi2 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) -1/2)) 2))))) (fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(fma.f64 1/2 (.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) -1/2)) 2)) (.f64 (.f64 phi2 phi2) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))))))
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(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)
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(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))
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(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
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(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
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(.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 1))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 0) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

localize147.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(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)))
✓	0.7b	(-.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)))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 367 to 190 computations (48.2% saved)

series13.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	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)))
1.0ms	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)))
1.0ms	phi1	@	inf	(-.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)))
1.0ms	phi1	@	-inf	(-.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)))
1.0ms	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)))

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`add-sqr-sqrt`
544×	`*-un-lft-identity`
542×	`pow1`
512×	`add-exp-log`
512×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	529	144
2	7185	144

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

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

simplify199.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1248×	`+-commutative`
1132×	`associate-+r+`
1030×	`associate-r`
884×	`associate--l+`
794×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	19688
1	1381	18576
2	5364	18574

Stop Event

1×	node limit

Counts

152 → 199

Calls

Call 1

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

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

eval3.3s (3.5%)

Compiler: Compiled 161030 to 98085 computations (39.1% saved)

prune1.6s (1.7%)

Pruning

86 alts after pruning (86 fresh and 0 done)

	Pruned	Kept	Total
New	1803	86	1889
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1807	86	1893

Error

20.1b

Counts

1893 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 3/2) 1/3) (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)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 1/4) 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)))))))
	39.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	39.0b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 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)))))))))
	39.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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)))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
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▶	22.4b	(.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 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
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▶	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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▶	21.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	21.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1)))) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (.f64 1/6 (pow.f64 phi2 3)))) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	35.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.0b	(.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 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.8b	(.f64 R (.f64 2 (atan2.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))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2)) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

Compiler

Compiled 12512 to 8656 computations (30.8% saved)

localize249.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 582 to 354 computations (39.2% saved)

series15.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`add-sqr-sqrt`
682×	`*-un-lft-identity`
680×	`pow1`
642×	`add-exp-log`
642×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	135
1	663	119

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs

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

Outputs

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

simplify134.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1750×	`distribute-lft-in`
1086×	`associate-+r+`
956×	`+-commutative`
868×	`associate--l+`
826×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	13550
1	994	13218
2	3754	13212

Stop Event

1×	node limit

Counts

82 → 129

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (+.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 3)) (+.f64 1 (+.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2))))
(/.f64 (-.f64 1 (.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (-.f64 1 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2))) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2)) (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) 3) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3)) (+.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2) (.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 3))) (neg.f64 (+.f64 1 (+.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)))))
(pow.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(cbrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2)))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(exp.f64 (log.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))

Outputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 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 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 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)))
(fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1) (neg.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (.f64 phi1 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (.f64 phi1 phi1) 1)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (.f64 phi1 (.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) -1/2 (.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1) (fma.f64 -1 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (.f64 phi1 phi1)) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1/6) (pow.f64 phi1 3))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (fma.f64 -1 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (.f64 1/6 (pow.f64 phi1 3)))) 1)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))
(-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (-.f64 1 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) -1/2 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (.f64 1/6 (pow.f64 phi1 3)))))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.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 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (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)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(fma.f64 (neg.f64 (.f64 phi2 phi2)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (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))))
(fma.f64 (neg.f64 (.f64 phi2 phi2)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 -1/2 (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6) (pow.f64 phi2 3)) (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(fma.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) 1/6))) (pow.f64 phi2 3) (fma.f64 (neg.f64 (.f64 phi2 phi2)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 -1/2 (cos.f64 phi1))))) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (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)))))
(-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 -1/2 (cos.f64 phi1))))))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (.f64 1/6 (pow.f64 phi2 3))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(fabs.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))))
(log.f64 (exp.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(cbrt.f64 (.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2)))
(cbrt.f64 (.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))) (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2))) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))) 3))
(cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(exp.f64 (log.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)))

localize134.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.9b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	5.3b	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

Compiler

Compiled 348 to 188 computations (46% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	0	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
1.0ms	phi2	@	0	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
0.0ms	phi2	@	inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
0.0ms	phi2	@	-inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
0.0ms	phi1	@	inf	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`swap-sqr`
688×	`associate-*r/`
664×	`distribute-rgt-in`
618×	`distribute-lft-in`
554×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	327	17
2	3867	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))))

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-r`
1240×	`associate-l`
842×	`associate-*r/`
778×	`associate-*l/`
698×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1856
1	374	1816
2	1305	1490
3	6205	1490

Stop Event

1×	node limit

Counts

48 → 54

Calls

Call 1

Inputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (pow.f64 phi1 2)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (pow.f64 phi1 2)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2))) (sin.f64 (.f64 -1/2 phi2)))))) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(.f64 (pow.f64 1 1/2) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 1/2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3)
(fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 1))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))

Outputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (sin.f64 (.f64 1/2 phi1))) (.f64 phi2 phi2)) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 1/2 (.f64 (.f64 phi2 phi2) (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0) (sin.f64 (.f64 1/2 phi1)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (pow.f64 phi2 2)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2))) (fma.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6) (.f64 1/2 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1))) 2)) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1)))))) (/.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (sin.f64 (.f64 1/2 phi1))) (.f64 phi2 phi2)) (fma.f64 1/2 (/.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6 (.f64 1/2 (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1)))))) (/.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 1/2 (fma.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0) (sin.f64 (.f64 1/2 phi1))) (.f64 phi2 phi2) (.f64 (/.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 (.f64 phi1 -1/2)) (sin.f64 (.f64 1/2 phi1))) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 phi1 -1/2)) 1/6))))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (.f64 1/2 phi1))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (pow.f64 phi1 2)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (/.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 1/2 (fma.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 0) (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 phi1) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (pow.f64 phi1 2)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2))) (sin.f64 (.f64 -1/2 phi2)))))) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)) (/.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1))) (fma.f64 1/2 (/.f64 (pow.f64 phi1 3) (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (.f64 -1/2 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (/.f64 (sin.f64 (.f64 -1/2 phi2)) (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (pow.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) 2)))))))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 phi1 3) (sin.f64 (.f64 -1/2 phi2))) (fma.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6 (.f64 -1/2 (.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 1/2 (.f64 (.f64 phi1 phi1) (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 0) (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 phi1 3) (sin.f64 (.f64 -1/2 phi2))) (fma.f64 -1/2 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) 0) (/.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6))) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))) (sin.f64 (.f64 -1/2 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(.f64 (pow.f64 1 1/2) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 3)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 1))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

localize161.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
✓	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 451 to 234 computations (48.1% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
934×	`distribute-lft-in`
898×	`associate-*l/`
308×	`add-sqr-sqrt`
302×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	283	28
2	3762	28

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/l*`
1190×	`fma-def`
980×	`associate-+r+`
876×	`associate-+l+`
806×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2375
1	524	2301
2	1882	2205
3	5116	2205

Stop Event

1×	node limit

Counts

89 → 111

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1)) (.f64 1 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(*.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.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))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (+.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))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) 1) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) 1) (+.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 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1)
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)
(.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))

Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(+.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)))
(fma.f64 (cos.f64 lambda2) (.f64 -1/2 (.f64 lambda1 lambda1)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))
(+.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(fma.f64 (pow.f64 lambda1 3) (.f64 -1/6 (sin.f64 lambda2)) (fma.f64 (cos.f64 lambda2) (.f64 -1/2 (*.f64 lambda1 lambda1)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (fma.f64 -1/2 (.f64 lambda2 lambda2) 1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(fma.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 -1/6 (pow.f64 lambda2 3))) (.f64 (cos.f64 lambda1) (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1)))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (.f64 (+.f64 1 (.f64 phi1 (.f64 phi1 -1/8))) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (+.f64 1 (.f64 phi1 (.f64 phi1 -1/8))) (sin.f64 (.f64 -1/2 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(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)))))
(fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 -1/8 (*.f64 phi2 phi2) 1)))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 1/48 (pow.f64 phi2 3)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1)) (.f64 1 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1)))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(-.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.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))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (+.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))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) 1) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) 1) (+.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))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 1))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

localize241.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 504 to 259 computations (48.6% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`*-commutative`
826×	`associate-*r/`
690×	`distribute-lft-in`
658×	`distribute-rgt-in`
610×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	245	19
2	3196	19

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))) (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (-.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (-.f64 1/16 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (-.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (+.f64 1/64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) 3))) (+.f64 1/16 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 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simplify123.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1548×	`associate-/l*`
1082×	`*-commutative`
1042×	`associate-/r*`
948×	`distribute-lft-in`
844×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	5717
1	715	5013
2	2697	4653

Stop Event

1×	node limit

Counts

85 → 147

Calls

Call 1

Inputs
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) (+.f64 1/2 (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) (+.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 -1/2 (cos.f64 (neg.f64 lambda2))) (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1/2 (cos.f64 lambda1))))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (*.f64 -1/2 (cos.f64 lambda1)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (*.f64 -1/2 (cos.f64 lambda1))))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(*.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1)
(*.f64 1 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))
(.f64 (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))) (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))
(.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))
(.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (-.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))
(.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (-.f64 1/16 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (-.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))
(.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (+.f64 1/64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) 3))) (+.f64 1/16 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)) 1/4))))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))) (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (/.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))) (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 1/4) (-.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(/.f64 (-.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))) (-.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))))
(/.f64 (-.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4))) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4))))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 3)) (.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))) (+.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (-.f64 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 1/8)))))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 3)) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4))))))
(/.f64 (neg.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (neg.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (neg.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 1/4) 1) (-.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2))
(/.f64 (.f64 (neg.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) 1) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) 1) (neg.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4))) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 3)) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4)))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (-.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (+.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (-.f64 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 1/8))))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) 1) (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) 1) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2 1/2)
(fma.f64 1 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) (cbrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)

Outputs
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(fma.f64 -1/2 (cos.f64 lambda2) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) (+.f64 1/2 (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(fma.f64 -1/2 (cos.f64 lambda2) (+.f64 1/2 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(fma.f64 -1/2 (cos.f64 lambda2) (fma.f64 1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) 1/2))
(fma.f64 -1/2 (cos.f64 lambda2) (fma.f64 (*.f64 -1/2 (sin.f64 lambda2)) lambda1 1/2))
(+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) (+.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)))))
(fma.f64 -1/2 (cos.f64 lambda2) (+.f64 1/2 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(+.f64 (fma.f64 -1/2 (cos.f64 lambda2) 1/2) (fma.f64 1/2 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) 1/4))))
(+.f64 (fma.f64 -1/2 (cos.f64 lambda2) 1/2) (.f64 lambda1 (+.f64 (.f64 -1/2 (sin.f64 lambda2)) (.f64 lambda1 (.f64 (cos.f64 lambda2) 1/4)))))
(+.f64 (.f64 -1/2 (cos.f64 (neg.f64 lambda2))) (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))))
(fma.f64 -1/2 (cos.f64 lambda2) (+.f64 1/2 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (fma.f64 -1/12 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)) (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))))
(+.f64 (fma.f64 -1/2 (cos.f64 lambda2) 1/2) (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (fma.f64 1/2 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/12)))))
(+.f64 (fma.f64 -1/2 (cos.f64 lambda2) 1/2) (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (.f64 1/2 lambda1) (*.f64 -1/12 (pow.f64 lambda1 3))))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
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(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) (/.f64 (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))) (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4))) (sqrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8)))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (cbrt.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) (cbrt.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) -1/4 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) -1/4 1/4)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2) (cbrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (cbrt.f64 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (cbrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8))) (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4)) (cbrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4))) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4)))
(/.f64 (-.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) 1/16)) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))
(/.f64 (+.f64 1/16 (.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) -1/16)) (.f64 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) 3)) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (+.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4)))))
(/.f64 (-.f64 1/64 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 3) 1/64)) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (+.f64 1/16 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (.f64 1/4 (+.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))) 6)) (.f64 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) (+.f64 1/16 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/16)) 1/16)))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))) 6)) (.f64 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (+.f64 1/16 (*.f64 1/16 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 4) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (-.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 6)) (.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))) (-.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))) 6)) (.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (+.f64 1/64 (.f64 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) (-.f64 (pow.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3) 1/8))))
(/.f64 (+.f64 1/512 (pow.f64 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 3)) (.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4))) (+.f64 1/64 (.f64 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) (+.f64 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) -1/8)))))
(/.f64 (+.f64 1/512 (.f64 -1/512 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 3))) (.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4) (fma.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)) (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) -1/8) 1/64)))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) 1) (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 1/4 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) -1/4 1/4) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 1/4 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) -1/4 1/4) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))
(/.f64 (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) -1/4)) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (/.f64 (.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(-.f64 (/.f64 1/4 (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) -1/4 1/4) (fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) 1) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))
(.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (/.f64 1 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4))))) (sqrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (/.f64 1 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))) (cbrt.f64 (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) -1/4)))))
(.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (/.f64 1 (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)) 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)) 1/4) 1/4))
(pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)) 3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 3) 1/3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 2))
(fabs.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))
(log.f64 (exp.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2) 3))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) -1/2 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(fma.f64 1 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (sqrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 2) (cbrt.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)

localize198.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 462 to 239 computations (48.3% saved)

eval2.8s (3%)

Compiler: Compiled 133707 to 81329 computations (39.2% saved)

prune1.6s (1.7%)

Pruning

141 alts after pruning (141 fresh and 0 done)

	Pruned	Kept	Total
New	1564	93	1657
Fresh	33	48	81
Picked	1	0	1
Done	4	0	4
Total	1602	141	1743

Error

12.3b

Counts

1743 → 141

Alt Table

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Status	Error	Program
	55.8b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 phi2 phi2) (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0) (sin.f64 (.f64 1/2 phi1)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 3/2) 1/3) (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)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 1/4) 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)))))))
	39.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3) (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)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	39.0b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 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)))))))))
	54.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	39.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.7b	(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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)))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 0) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	38.3b	(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) 1) (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)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 1) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	36.8b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.2b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	55.1b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	55.4b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (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)))))))
	22.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	36.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	22.7b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	22.0b	(.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	22.1b	(.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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 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) 1/2)) 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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	22.5b	(.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 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
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	22.5b	(.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) 1/2)) 2)) 2)) (+.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) 1/2)) 2))))))))
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▶	53.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2))))))
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▶	13.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.8b	(.f64 R (.f64 2 (atan2.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))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.1b	(.f64 R (.f64 2 (atan2.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))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	53.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	56.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
▶	56.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.3b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2)) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.0b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

Compiler

Compiled 19396 to 13734 computations (29.2% saved)

localize312.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
✓	0.6b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 584 to 377 computations (35.4% saved)

series17.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	phi2	@	inf	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
2.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	lambda1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`add-sqr-sqrt`
656×	`*-un-lft-identity`
654×	`pow1`
616×	`add-exp-log`
616×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	198
1	636	182

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/4) (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 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simplify212.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-r`
824×	`associate-+l+`
750×	`+-commutative`
744×	`associate-+r+`
728×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	21020
1	1307	20432
2	4599	19828

Stop Event

1×	node limit

Counts

124 → 170

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 2)) (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 2))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))))))
(exp.f64 (+.f64 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))

Outputs
(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 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(fma.f64 -1/2 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))
(fma.f64 1/2 (.f64 (.f64 phi1 phi1) (.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(fma.f64 1/2 (.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) -1/2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (.f64 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))) (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 phi1 phi1) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))))) (fma.f64 -1/2 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))))
(+.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (+.f64 (.f64 (.f64 1/2 (.f64 phi1 phi1)) (-.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (fma.f64 (.f64 (cos.f64 phi2) -1/2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (.f64 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))) (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (.f64 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))) (cos.f64 (*.f64 1/2 phi2))) phi1))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))))
(fma.f64 1/2 (.f64 (.f64 phi1 phi1) (.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (fma.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (.f64 1/2 (.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1/6) (.f64 1/2 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) 2)) (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))))
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(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)
(+.f64 (.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))
(fma.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) phi1)))
(.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (+.f64 (.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (fma.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) phi1))))
(fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (+.f64 (.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))
(fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1/6) (pow.f64 phi1 3) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (fma.f64 -1 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/6)) (pow.f64 phi1 3) (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) phi1)))))
(fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/6)) (pow.f64 phi1 3) (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 1/2 phi2)))))))
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))
(.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (.f64 phi2 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) phi2) (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))
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(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
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(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
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(cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 6))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 6))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))))))
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(exp.f64 (+.f64 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))))
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))))) 1))
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))
(pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)
(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)

localize111.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
	3.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	3.9b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 279 to 150 computations (46.2% saved)

series11.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite102.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`add-sqr-sqrt`
578×	`*-un-lft-identity`
576×	`pow1`
548×	`add-exp-log`
548×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	89
1	564	73
2	7672	73

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (+.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1) (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (*.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 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(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4)) (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 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(cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4))) (neg.f64 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 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(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

simplify169.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`distribute-lft-in`
1290×	`distribute-rgt-in`
1130×	`+-commutative`
624×	`fma-def`
560×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	11345
1	1046	11017
2	3760	10863

Stop Event

1×	node limit

Counts

95 → 134

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1))) (-.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4)) (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 6)) (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (-.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (neg.f64 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(fma.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

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

localize622.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.1b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	3.9b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	5.3b	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

Compiler

Compiled 414 to 252 computations (39.1% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite407.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2368	17

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-r`
932×	`*-commutative`
778×	`associate-l`
550×	`distribute-lft-in`
548×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	918
1	202	850
2	696	802
3	2985	802
4	6162	802

Stop Event

1×	node limit

Counts

34 → 48

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))

Outputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) phi1) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (.f64 phi1 (.f64 phi1 -1/8)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (.f64 -1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (.f64 phi1 (.f64 phi1 -1/8)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(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)))))
(fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 -1/8 (*.f64 phi2 phi2) 1)))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 1/48 (pow.f64 phi2 3)))))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 (*.f64 phi2 phi2) 1/48) -1/2)))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 -1/2 (.f64 (*.f64 phi2 phi2) 1/48)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 1)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 1)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 3)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3)
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 1))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

localize253.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 499 to 264 computations (47.1% saved)

localize247.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 468 to 243 computations (48.1% saved)

eval3.0s (3.2%)

Compiler: Compiled 148531 to 96592 computations (35% saved)

prune2.0s (2.1%)

Pruning

200 alts after pruning (200 fresh and 0 done)

	Pruned	Kept	Total
New	1619	86	1705
Fresh	22	114	136
Picked	1	0	1
Done	4	0	4
Total	1646	200	1846

Error

12.0b

Counts

1846 → 200

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 phi2 phi2) (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0) (sin.f64 (.f64 1/2 phi1)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 3/2) 1/3) (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)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 1/4) 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)))))))
	39.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	14.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 3/2) 1/3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	13.8b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/4) 2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
▶	13.7b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	39.0b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 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)))))))))
	54.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	39.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))) 3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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) 1/2)) 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)))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1)))))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
▶	37.6b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
	37.8b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (+.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
	23.9b	(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)))))))
	34.8b	(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 -1/2 lambda2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (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) 1/2)) 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)))))))
	14.1b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) 3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	38.3b	(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	30.3b	(.f64 R (.f64 2 (atan2.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	22.5b	(.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 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2)))))))
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	22.2b	(.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 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))))
	22.2b	(.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 (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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 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 (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 -1/2 phi2)) 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)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
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	22.5b	(.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 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
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▶	54.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
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	60.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))))))))
	57.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (.f64 (neg.f64 (sin.f64 (.f64 phi2 -1/2))) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1) (sin.f64 (*.f64 phi2 -1/2)))))))))
	57.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
	57.2b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
▶	58.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	56.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	56.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	16.9b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	13.7b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.3b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2)) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	14.0b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.0b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	14.1b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 3/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

Compiler

Compiled 27484 to 19840 computations (27.8% saved)

localize431.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 717 to 479 computations (33.2% saved)

series8.0ms (0%)

Counts

2 → 64

Calls

18 calls:

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

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
642×	`*-un-lft-identity`
636×	`pow1`
600×	`add-exp-log`
600×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	134
1	628	80

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify178.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1794×	`distribute-lft-in`
1788×	`distribute-rgt-in`
890×	`associate-r`
666×	`associate-l`
632×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	397	14829
1	1127	14227
2	3875	14227

Stop Event

1×	node limit

Counts

107 → 149

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
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(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))) (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))) 2)))))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) 1)
(.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) 1)
(.f64 1 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(fabs.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))
(hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))

Outputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2)))
(fma.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))) lambda1 (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1))))
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(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
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(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
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(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
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(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (cos.f64 (*.f64 1/2 phi1))))) 2)))
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(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(.f64 (fabs.f64 (cbrt.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 (cbrt.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)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 3/2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.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)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3/2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (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 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(fabs.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 3))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(hypot.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))) 1))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize126.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))
✓	0.7b	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
✓	3.9b	(sin.f64 (*.f64 (-.f64 lambda2 lambda1) -1/2))
✓	3.9b	(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 259 to 163 computations (37.1% saved)

series23.0ms (0%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
11.0ms	lambda1	@	-inf	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
2.0ms	lambda1	@	inf	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
1.0ms	lambda2	@	0	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
1.0ms	lambda1	@	0	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
1.0ms	lambda2	@	inf	(+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))

rewrite103.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`add-sqr-sqrt`
502×	`associate-+l+`
492×	`*-un-lft-identity`
490×	`pow1`
468×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	160
1	493	128
2	6454	128

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify170.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

884×	`associate-r`
736×	`fma-def`
678×	`associate-l`
584×	`associate-/l*`
518×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	15143
1	1164	14423
2	5004	14065

Stop Event

1×	node limit

Counts

209 → 255

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 lambda2 3) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 lambda1 3)) (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)
(+.f64 1 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4))))
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(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
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(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))
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(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))
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(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
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(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 1)
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(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))) 2)
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(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 1))
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))))
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(-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) 1))
(-.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 0)
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (-.f64 1 (+.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (+.f64 1 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) 1)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))) 1)
(-.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))) (/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) 1))
(-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2)))))
(-.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 0) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(.f64 1 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))))))
(.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))) (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))) (+.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 3))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) 1) (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (+.f64 (.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)))))))
(pow.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(fma.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1)
(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (cbrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 1))
(+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 0)
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) 2)
(/.f64 (.f64 (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2)
(pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2))
(log.f64 (exp.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(exp.f64 (log.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))

Outputs
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1))))
(fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 1/2 lambda2) (.f64 -1/48 (pow.f64 lambda2 3)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (*.f64 lambda1 lambda1)))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (sin.f64 (.f64 1/2 lambda2))))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 1/2 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.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 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (*.f64 lambda1 lambda1))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) 1/48))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 1/2 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) 1/48)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(sin.f64 (*.f64 lambda1 1/2))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (.f64 lambda1 1/2))) (.f64 -1/8 (.f64 (.f64 lambda2 lambda2) (sin.f64 (*.f64 lambda1 1/2)))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (fma.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 lambda1 1/2))) (+.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 -1/8 (.f64 (.f64 lambda2 lambda2) (sin.f64 (*.f64 lambda1 1/2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 -1/2 lambda2) (.f64 (pow.f64 lambda2 3) 1/48))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (*.f64 lambda2 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 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (*.f64 -1/2 lambda2)))))
(fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))))
(fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 -1/2 lambda2))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.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 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (.f64 -1/2 lambda2))) (.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (*.f64 -1/2 lambda2))))))
(+.f64 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (sin.f64 (.f64 -1/2 lambda2))) (fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (*.f64 -1/2 lambda2))))))
(+.f64 (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 -1/48 (.f64 (pow.f64 lambda1 3) (cos.f64 (*.f64 -1/2 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 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda1 1/2))) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 lambda2) (+.f64 1 (fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(+.f64 (fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) 1) (-.f64 (fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (-.f64 (.f64 lambda2 (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2)))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 lambda2 3) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda1 1/2))) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 lambda2) (+.f64 1 (fma.f64 (pow.f64 lambda2 3) (fma.f64 -1/48 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (fma.f64 -1/16 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))) 1/12))) (fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 (fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) 1) (-.f64 (fma.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) 1/12)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) -1/12)) (fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 1 (-.f64 (fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) (fma.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) 1/12)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 phi1) -1/12))) (fma.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) 1) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) 1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (fma.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))) 1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) (+.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) 1) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) 1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(+.f64 (fma.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))) 1) (-.f64 (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) -1/4)))) (.f64 (+.f64 (.f64 (.f64 lambda1 lambda1) -1/4) 1) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 lambda1 3)) (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (+.f64 1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (fma.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (fma.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 lambda1 3) (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) (+.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) 1) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/16 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/16))))) (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) 1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 -1/2 lambda2)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/16)) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) 1/12))) (+.f64 (fma.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))) 1) (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) -1/4)))) (.f64 (+.f64 (.f64 (.f64 lambda1 lambda1) -1/4) 1) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)
(fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 1)
(fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 1)
(+.f64 1 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 1) (.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))) -1/4)))
(+.f64 1 (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) -1/4) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))
(+.f64 1 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4)) (.f64 (pow.f64 phi1 4) (+.f64 1/48 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 1) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) -1/4) (.f64 (pow.f64 phi1 4) (+.f64 1/48 (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))) 1/24)))))
(+.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 1) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) -1/4) (.f64 (pow.f64 phi1 4) (fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1/24 1/48))))
(+.f64 (.f64 (pow.f64 phi1 6) (-.f64 (.f64 -1/720 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/1440)) (+.f64 1 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4)) (.f64 (pow.f64 phi1 4) (+.f64 1/48 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))))))
(fma.f64 (pow.f64 phi1 6) (fma.f64 -1/720 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) -1/1440) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 1) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) -1/4) (.f64 (pow.f64 phi1 4) (+.f64 1/48 (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 1/24))))))
(fma.f64 (pow.f64 phi1 6) (fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) -1/720 -1/1440) (+.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 1) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) -1/4) (.f64 (pow.f64 phi1 4) (fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 1/24 1/48)))))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))))
(.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))
(+.f64 (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))))
(fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 lambda1 1/2)))))
(fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 phi1))))
(fma.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 phi1))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))))
(fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda1 1/2))) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 lambda2) (fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 lambda1 1/2))))))
(fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) (fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))))
(fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) (fma.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (pow.f64 lambda2 2)) (+.f64 (.f64 (pow.f64 lambda2 3) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))))) (+.f64 (.f64 lambda2 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda1 1/2))) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 lambda2) (fma.f64 (pow.f64 lambda2 3) (fma.f64 -1/48 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (fma.f64 -1/16 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))) 1/12))) (fma.f64 lambda2 (fma.f64 1/2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 lambda1 1/2))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2)))))))
(fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) (fma.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) 1/12)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) -1/12)) (fma.f64 lambda2 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))))
(fma.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) -1/4) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))))) (fma.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) 1/12)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 phi1) -1/12))) (fma.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 lambda1 1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 lambda1 1/2))) -1/2))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1))))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))
(.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))
(fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 phi1)))))))
(fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2)))))
(fma.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2)))))
(+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1)))
(fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 phi1))))))))
(fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))))) (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2))))))
(+.f64 (.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))))) (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) -1/4)))) (.f64 (+.f64 (.f64 (.f64 lambda1 lambda1) -1/4) 1) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 lambda1 3)) (+.f64 (.f64 (pow.f64 lambda1 2) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 phi1))))) lambda1))))
(fma.f64 (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (fma.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (fma.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 lambda1 3) (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (+.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 lambda1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))))))))
(fma.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (fma.f64 1/16 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/16))))) (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))))) (fma.f64 lambda1 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 1/2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 -1/2 lambda2)))))))
(fma.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 -1/2 lambda2)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/16)) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) 1/12))) (+.f64 (.f64 lambda1 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))))) (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi1) -1/4)))) (.f64 (+.f64 (.f64 (.f64 lambda1 lambda1) -1/4) 1) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2))))))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))
(fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 phi1 phi1)))))
(fma.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 phi1 phi1)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1)))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (pow.f64 phi1 4) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(fma.f64 1/24 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 phi1 4))) (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 phi1 phi1))))))
(fma.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 phi1 4))) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 phi1 phi1)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (.f64 phi1 phi1))) (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (+.f64 1 (*.f64 1/24 (pow.f64 phi1 4)))))
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(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 3))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1))
(exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(fma.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (cbrt.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 1)
(+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 1))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 0)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 1)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(/.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) 2)
(/.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (/.f64 2 (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))))
(.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1))))
(/.f64 (.f64 (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2)
(/.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (/.f64 2 (+.f64 (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) (neg.f64 phi1))) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))))
(.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1))))
(pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 1)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 2)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 3)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(pow.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3) 1/3)
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 2))
(fabs.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))
(log.f64 (exp.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) 3))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(exp.f64 (log.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) -1))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2))

localize164.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
	3.1b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	5.3b	(sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

Compiler

Compiled 368 to 233 computations (36.7% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
0.0ms	phi2	@	0	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
0.0ms	phi1	@	-inf	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
0.0ms	phi1	@	inf	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
0.0ms	phi2	@	-inf	(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`*-commutative`
706×	`unswap-sqr`
546×	`swap-sqr`
546×	`associate-*r/`
440×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	232	23
2	2787	23

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))))

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate--r+`
918×	`associate-+r+`
772×	`associate-+l-`
758×	`associate-+l+`
752×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1710
1	366	1528
2	986	1464
3	3282	1442
4	6930	1442

Stop Event

1×	node limit

Counts

46 → 68

Calls

Call 1

Inputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6))
(/.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))

Outputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)))
(.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 phi2 1/2)) phi1 (sin.f64 (.f64 -1/2 phi2))))
(.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 -1/2 phi2)) phi1 (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))
(fma.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 phi2 1/2)) phi1 (sin.f64 (.f64 -1/2 phi2))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)))))
(fma.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 -1/2 phi2)) phi1 (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 (.f64 phi1 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)))))
(+.f64 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi2 1/2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 phi1 (.f64 phi1 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(-.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (-.f64 (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2))))) (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))))
(fma.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (.f64 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) 1/6) (pow.f64 phi2 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (-.f64 (fma.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 (sin.f64 (.f64 phi1 1/2)) 1/6)) (pow.f64 phi2 3) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)))))) (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))))))
(fma.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (.f64 (pow.f64 phi2 3) 1/6) (fma.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (.f64 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (fma.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) (-.f64 (.f64 (pow.f64 phi2 3) 1/6) phi2))))
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 4))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2) 3/2))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 6))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))
(/.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6) 1/6))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))))
(pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)

localize188.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.8b	(cos.f64 (-.f64 lambda1 lambda2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 497 to 264 computations (46.9% saved)

localize182.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.1b	(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
	3.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 520 to 247 computations (52.5% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-*r/`
924×	`associate-*l/`
856×	`distribute-lft-in`
364×	`associate-/r*`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	306	29
2	4125	29

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-/r*`
970×	`associate-*r/`
732×	`associate-*l/`
556×	`unswap-sqr`
528×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	8636
1	675	6334
2	2887	6318

Stop Event

1×	node limit

Counts

98 → 146

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 lambda2 lambda1))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (.f64 -1/2 (*.f64 lambda2 lambda1)))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (.f64 1/12 (*.f64 (pow.f64 lambda2 3) lambda1))))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (+.f64 (.f64 -1/48 (pow.f64 lambda2 4)) (.f64 1/12 (.f64 (pow.f64 lambda2 3) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 2))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) 1)
(.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2) 1)
(.f64 1 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2))
(.f64 (sqrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) (sqrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(.f64 (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)) (/.f64 1 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)) (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)))
(.f64 (/.f64 (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)) (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4))) (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2))
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(pow.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)
(fma.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) -1/2 1/2)
(fma.f64 1 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (sqrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 2) (cbrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 1/2)

Outputs
(.f64 -1/2 (.f64 lambda2 lambda1))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (.f64 -1/2 (*.f64 lambda2 lambda1)))
(fma.f64 1/4 (.f64 lambda2 lambda2) (.f64 -1/2 (*.f64 lambda2 lambda1)))
(fma.f64 (.f64 -1/2 lambda2) lambda1 (.f64 (*.f64 1/4 lambda2) lambda2))
(.f64 lambda2 (+.f64 (.f64 lambda1 -1/2) (*.f64 lambda2 1/4)))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (.f64 1/12 (*.f64 (pow.f64 lambda2 3) lambda1))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (fma.f64 -1/2 (.f64 lambda2 lambda1) (.f64 1/12 (.f64 lambda1 (pow.f64 lambda2 3)))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (.f64 lambda1 (+.f64 (.f64 -1/2 lambda2) (.f64 1/12 (pow.f64 lambda2 3)))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (.f64 lambda1 (+.f64 (.f64 1/12 (pow.f64 lambda2 3)) (.f64 -1/2 lambda2))))
(+.f64 (.f64 1/4 (pow.f64 lambda2 2)) (+.f64 (.f64 -1/2 (.f64 lambda2 lambda1)) (+.f64 (.f64 -1/48 (pow.f64 lambda2 4)) (.f64 1/12 (.f64 (pow.f64 lambda2 3) lambda1)))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (fma.f64 -1/2 (.f64 lambda2 lambda1) (fma.f64 -1/48 (pow.f64 lambda2 4) (.f64 1/12 (.f64 lambda1 (pow.f64 lambda2 3))))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (fma.f64 -1/2 (.f64 lambda2 lambda1) (fma.f64 1/12 (.f64 lambda1 (pow.f64 lambda2 3)) (.f64 -1/48 (pow.f64 lambda2 4)))))
(fma.f64 1/4 (.f64 lambda2 lambda2) (fma.f64 -1/2 (.f64 lambda2 lambda1) (fma.f64 -1/48 (pow.f64 lambda2 4) (.f64 (.f64 1/12 lambda1) (pow.f64 lambda2 3)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 -1 (*.f64 (sin.f64 lambda2) lambda1)))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(fma.f64 -1/2 (cos.f64 lambda2) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))
(.f64 -1/2 (.f64 lambda1 (sin.f64 lambda2)))
(.f64 lambda1 (.f64 -1/2 (sin.f64 lambda2)))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))
(.f64 -1/2 (.f64 lambda1 (sin.f64 lambda2)))
(.f64 lambda1 (.f64 -1/2 (sin.f64 lambda2)))
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(+.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 1/2 (.f64 -1/2 (*.f64 (sin.f64 lambda2) lambda1))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2))) 1)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) -1/2)
(+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 2))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2)))
(/.f64 (fma.f64 1/4 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) -1/4) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) -1/2))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) 1)
(+.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) -1/2)
(+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2) 1)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 1 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 (sqrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) (sqrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)) 2))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(.f64 (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)) (/.f64 1 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2)))
(/.f64 (fma.f64 1/4 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) -1/4) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) -1/2))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)) (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 3) -1/8)) (fma.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2) 1/4 (+.f64 1/4 (.f64 1/4 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (.f64 (+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1) 1/4))))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))) (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2)))
(/.f64 (fma.f64 1/4 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) -1/4) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) -1/2))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 3) -1/8)) (fma.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2) 1/4 (+.f64 1/4 (.f64 1/4 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (.f64 (+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1) 1/4))))
(.f64 (/.f64 (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4)) (-.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4))) (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
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(/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)) 1) (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 3) -1/8)) (fma.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2) 1/4 (+.f64 1/4 (.f64 1/4 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (.f64 (+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1) 1/4))))
(/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 3) -1/8)) (fma.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2) 1/4 (+.f64 1/4 (.f64 1/4 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (.f64 (+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1) 1/4))))
(/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 3) -1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2) 1/4) (-.f64 1/4 (.f64 -1/4 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 3) -1/8)) (fma.f64 (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) 2) 1/4 (+.f64 1/4 (.f64 1/4 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 3) -1/8 1/8) (+.f64 1/4 (.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (.f64 (+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1) 1/4))))
(pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 1)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)) 2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)) 3)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 3) 1/3)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) 1/2) 2))
(fabs.f64 (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2))
(log.f64 (exp.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2))))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2) 3))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 1/2)) 1))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)))
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(fma.f64 -1/2 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(fma.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1)) -1/2 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(fma.f64 1 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (sqrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 2) (cbrt.f64 (.f64 -1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) 1/2)
(+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (neg.f64 (.f64 lambda1 (sin.f64 lambda2))))))
(fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)

eval2.9s (3%)

Compiler: Compiled 133419 to 85932 computations (35.6% saved)

prune1.7s (1.8%)

Pruning

224 alts after pruning (224 fresh and 0 done)

	Pruned	Kept	Total
New	1531	65	1596
Fresh	36	159	195
Picked	1	0	1
Done	4	0	4
Total	1572	224	1796

Error

12.0b

Counts

1796 → 224

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 phi2 phi2) (/.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) 0) (sin.f64 (.f64 1/2 phi1)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 phi1 -1/2)) phi2) (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 3/2) 1/3) (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)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (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) 1/2)) 2)) 1/4) 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)))))))
	39.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) 1/3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	14.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 3/2) 1/3) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	13.8b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/4) 2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	25.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (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)))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
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	54.3b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 1) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	22.5b	(.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 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2)))))))
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	58.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
	58.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
	58.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
	58.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
	16.9b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	53.8b	(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
	38.9b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	13.7b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.3b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1/2)) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	14.0b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.0b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (exp.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	14.1b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 3/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.6b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

Compiler

Compiled 14720 to 10758 computations (26.9% saved)

regimes4.4s (4.7%)

Counts

334 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1))))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)))) (pow.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda2) lambda1)) 2)))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 (-.f64 (-.f64 1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (.f64 1/6 (pow.f64 phi2 3)))) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) 2) (cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 4))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.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) 1/2)) 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)))))))
(.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 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (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 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (fma.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 lambda1)))))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs

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

Calls

12 calls:

479.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
412.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
308.0ms	phi1
306.0ms	lambda2
300.0ms	lambda1

Results

Error	Segments	Branch
13.7b	1	`R`
13.7b	1	`lambda1`
13.7b	1	`lambda2`
13.7b	1	`phi1`
13.7b	1	`phi2`
13.7b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.7b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.7b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.7b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21379 to 13311 computations (37.7% saved)

regimes4.3s (4.5%)

Counts

299 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

1.0s	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (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)))))))
272.0ms	phi1
262.0ms	lambda2
262.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
258.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
13.7b	1	`R`
13.7b	1	`lambda1`
13.7b	1	`lambda2`
13.7b	1	`phi1`
13.7b	1	`phi2`
13.7b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.7b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.7b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.7b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17925 to 11106 computations (38% saved)

regimes8.4s (8.8%)

Counts

294 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

12 calls:

814.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
809.0ms	phi1
788.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
675.0ms	lambda1
666.0ms	phi2

Results

Error	Segments	Branch
21.7b	1	`R`
13.7b	3	`lambda1`
13.8b	3	`lambda2`
18.5b	3	`phi1`
18.1b	4	`phi2`
20.5b	2	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
19.9b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
19.9b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (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)))))))`
19.9b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
18.8b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
18.8b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17503 to 10815 computations (38.2% saved)

bsearch491.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
270.0ms	3.640859377312856e-7	1950.8304842116604
213.0ms	-2.1837076402961953e+44	-2.3848955936562745e+41

Results

347.0ms	170×	body	1024	valid
45.0ms	37×	body	512	valid
41.0ms	71×	body	256	valid
34.0ms	10×	body	2048	valid

Compiler

Compiled 3174 to 2501 computations (21.2% saved)

regimes6.5s (6.8%)

Counts

292 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 1/2 phi2))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (.f64 1/2 phi1))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.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 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) 3) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (+.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 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 (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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 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) 1/2)) 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 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 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 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))

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

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

Calls

12 calls:

689.0ms	phi2
645.0ms	lambda1
634.0ms	lambda2
623.0ms	(-.f64 lambda1 lambda2)
609.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
21.7b	1	`R`
20.3b	2	`lambda1`
17.4b	3	`lambda2`
20.6b	2	`phi1`
18.1b	4	`phi2`
20.5b	2	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
20.1b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
20.1b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
20.5b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
19.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
19.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17343 to 10699 computations (38.3% saved)

bsearch576.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
278.0ms	6.711900767720425e-58	1.3416824034491269e-48
290.0ms	-25747209985283.586	-14317.855729279425

Results

403.0ms	160×	body	1024	valid
57.0ms	49×	body	512	valid
57.0ms	17×	body	2048	valid
35.0ms	62×	body	256	valid

Compiler

Compiled 3102 to 2330 computations (24.9% saved)

regimes3.4s (3.6%)

Counts

291 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (.f64 (neg.f64 (sin.f64 (.f64 phi2 -1/2))) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1) (sin.f64 (*.f64 phi2 -1/2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 1/2 lambda2)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 1/2 lambda2) (.f64 -1/48 (pow.f64 lambda2 3))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
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(.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 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 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 (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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.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 lambda1) (cos.f64 lambda2))))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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)))))))
(.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 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) 1/2)) 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 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs

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

Calls

12 calls:

301.0ms	(-.f64 lambda1 lambda2)
279.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
250.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
243.0ms	R
242.0ms	lambda1

Results

Error	Segments	Branch
21.7b	1	`R`
21.7b	1	`lambda1`
21.7b	1	`lambda2`
21.7b	1	`phi1`
21.7b	1	`phi2`
21.7b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.7b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.7b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.7b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
21.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
21.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
21.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17263 to 10640 computations (38.4% saved)

regimes2.9s (3.1%)

Counts

247 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (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 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (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 -1/2 phi2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (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) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 -1/2 lambda2))) (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 (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) 1/2)) 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 (pow.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) 1/2)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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 (neg.f64 (.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 lambda1) (cos.f64 lambda2)))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs

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

Calls

12 calls:

343.0ms	lambda1
242.0ms	R
236.0ms	phi2
233.0ms	lambda2
213.0ms	phi1

Results

Error	Segments	Branch
21.8b	1	`R`
21.8b	1	`lambda1`
21.8b	1	`lambda2`
21.8b	1	`phi1`
21.8b	1	`phi2`
21.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
21.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
21.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
21.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 13916 to 8586 computations (38.3% saved)

regimes2.3s (2.5%)

Counts

246 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (.f64 (neg.f64 (sin.f64 (.f64 phi2 -1/2))) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1) (sin.f64 (*.f64 phi2 -1/2)))))))))
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(.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 (pow.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) 1/2)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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 (neg.f64 (.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 lambda1) (cos.f64 lambda2)))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 (pow.f64 (cos.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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (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 (-.f64 1 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))

Calls

12 calls:

189.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
167.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
161.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
148.0ms	phi2
148.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))

Results

Error	Segments	Branch
21.8b	1	`R`
21.8b	1	`lambda1`
21.8b	1	`lambda2`
21.8b	1	`phi1`
21.8b	1	`phi2`
21.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
21.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
21.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
21.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 13838 to 8538 computations (38.3% saved)

regimes2.4s (2.5%)

Counts

237 → 1

Calls

Call 1

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

Calls

12 calls:

190.0ms	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
179.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
179.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
169.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
166.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
22.2b	1	`R`
22.2b	1	`lambda1`
22.2b	1	`lambda2`
22.2b	1	`phi1`
22.2b	1	`phi2`
22.2b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.2b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.2b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
22.2b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.2b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 13158 to 8111 computations (38.4% saved)

regimes1.9s (2%)

Counts

229 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (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 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (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 -1/2 phi2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (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) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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 -1/2 lambda2))) (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 (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) 1/2)) 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 (pow.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) 1/2)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (pow.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) 1/2)) 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)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

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

Calls

12 calls:

128.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
127.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
127.0ms	lambda2
124.0ms	R
124.0ms	phi2

Results

Error	Segments	Branch
22.4b	1	`R`
22.4b	1	`lambda1`
22.4b	1	`lambda2`
22.4b	1	`phi1`
22.4b	1	`phi2`
22.4b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.4b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.4b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
22.4b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.4b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.4b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 12599 to 7769 computations (38.3% saved)

regimes1.5s (1.6%)

Counts

123 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

166.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
160.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
159.0ms	lambda2
159.0ms	lambda1
157.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
24.4b	1	`R`
22.4b	3	`lambda1`
22.4b	3	`lambda2`
21.9b	3	`phi1`
21.9b	3	`phi2`
22.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5560 to 3580 computations (35.6% saved)

bsearch368.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
182.0ms	5019623628407423.0	27505632689818886000.0
184.0ms	-6.016272926828014e-30	-2.640710043384584e-34

Results

239.0ms	129×	body	1024	valid
45.0ms	40×	body	512	valid
41.0ms	77×	body	256	valid
31.0ms	10×	body	2048	valid

Compiler

Compiled 1934 to 1429 computations (26.1% saved)

regimes1.4s (1.4%)

Counts

101 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
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(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
(.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 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 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

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

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

Calls

6 calls:

440.0ms	R
267.0ms	lambda1
149.0ms	lambda2
125.0ms	(-.f64 lambda1 lambda2)
125.0ms	phi1

Results

Error	Segments	Branch
28.3b	5	`R`
28.6b	4	`lambda1`
30.3b	2	`lambda2`
21.9b	3	`phi1`
22.0b	3	`phi2`
28.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4276 to 2798 computations (34.6% saved)

bsearch763.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
463.0ms	5019623628407423.0	27505632689818886000.0
263.0ms	-6.016272926828014e-30	-2.640710043384584e-34

Results

568.0ms	138×	body	1024	valid
65.0ms	71×	body	256	valid
56.0ms	40×	body	512	valid
24.0ms	7×	body	2048	valid

Compiler

Compiled 1950 to 1445 computations (25.9% saved)

regimes1.6s (1.7%)

Counts

100 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
(.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.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 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 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 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

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

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

Calls

6 calls:

326.0ms	R
325.0ms	lambda1
224.0ms	phi1
197.0ms	(-.f64 lambda1 lambda2)
176.0ms	lambda2

Results

Error	Segments	Branch
28.3b	5	`R`
28.6b	4	`lambda1`
30.3b	2	`lambda2`
22.0b	3	`phi1`
22.0b	3	`phi2`
28.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4224 to 2767 computations (34.5% saved)

bsearch479.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
218.0ms	5019623628407423.0	27505632689818886000.0
260.0ms	-6.016272926828014e-30	-2.640710043384584e-34

Results

335.0ms	146×	body	1024	valid
60.0ms	42×	body	512	valid
36.0ms	11×	body	2048	valid
36.0ms	57×	body	256	valid

Compiler

Compiled 1966 to 1461 computations (25.7% saved)

regimes846.0ms (0.9%)

Counts

90 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
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(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/3) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))) 1/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3))))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

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

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))

Calls

6 calls:

214.0ms	(-.f64 lambda1 lambda2)
150.0ms	phi1
80.0ms	lambda2
72.0ms	phi2
58.0ms	R

Results

Error	Segments	Branch
31.6b	1	`R`
31.6b	1	`lambda1`
31.6b	1	`lambda2`
28.2b	3	`phi1`
31.6b	1	`phi2`
28.8b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3684 to 2441 computations (33.7% saved)

bsearch536.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
263.0ms	3.374047369247709e+73	3.0581313522665987e+81
271.0ms	-1060639821665.9066	-303546.1595116937

Results

365.0ms	153×	body	1024	valid
112.0ms	88×	body	512	valid
23.0ms	41×	body	256	valid
20.0ms	6×	body	2048	valid

Compiler

Compiled 2049 to 1538 computations (24.9% saved)

regimes389.0ms (0.4%)

Counts

89 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))

Outputs

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

Calls

6 calls:

51.0ms	lambda1
51.0ms	R
42.0ms	lambda2
42.0ms	(-.f64 lambda1 lambda2)
41.0ms	phi1

Results

Error	Segments	Branch
44.2b	1	`R`
44.2b	1	`lambda1`
44.2b	1	`lambda2`
44.2b	1	`phi1`
44.2b	1	`phi2`
44.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3631 to 2409 computations (33.7% saved)

regimes219.0ms (0.2%)

Counts

55 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (.f64 (neg.f64 (sin.f64 (.f64 phi2 -1/2))) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1) (sin.f64 (*.f64 phi2 -1/2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 1/2 lambda2)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 1/2 lambda2) (.f64 -1/48 (pow.f64 lambda2 3))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))

Outputs

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

Calls

6 calls:

30.0ms	phi2
27.0ms	(-.f64 lambda1 lambda2)
25.0ms	phi1
25.0ms	lambda1
24.0ms	R

Results

Error	Segments	Branch
53.3b	1	`R`
53.3b	1	`lambda1`
53.3b	1	`lambda2`
53.3b	1	`phi1`
53.3b	1	`phi2`
53.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2081 to 1452 computations (30.2% saved)

regimes385.0ms (0.4%)

Counts

50 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))))))

Outputs

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

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

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

Calls

6 calls:

79.0ms	phi1
63.0ms	lambda2
63.0ms	phi2
62.0ms	lambda1
43.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
56.3b	1	`R`
55.0b	3	`lambda1`
55.2b	2	`lambda2`
53.5b	3	`phi1`
52.8b	3	`phi2`
55.2b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1846 to 1291 computations (30.1% saved)

bsearch328.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
226.0ms	3.242332767628161	560.7978157306623
101.0ms	-6.323406219732287e-45	-3.706565225407116e-45

Results

236.0ms	93×	body	1024	valid
40.0ms	33×	body	512	valid
25.0ms	8×	body	2048	valid
22.0ms	42×	body	256	valid

Compiler

Compiled 1024 to 779 computations (23.9% saved)

regimes201.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1)) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (sin.f64 (-.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)) phi1)) (sin.f64 (fma.f64 1/2 (-.f64 lambda2 lambda1) phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 -1/2 lambda1)))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (.f64 lambda2 (+.f64 -1/2 (.f64 1/48 (.f64 lambda2 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (expm1.f64 (log.f64 (+.f64 2 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (log.f64 (exp.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 lambda2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 3) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) 2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))

Outputs

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

Calls

6 calls:

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

Results

Error	Segments	Branch
56.3b	1	`R`
56.3b	1	`lambda1`
56.3b	1	`lambda2`
56.3b	1	`phi1`
56.3b	1	`phi2`
56.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1725 to 1212 computations (29.7% saved)

regimes108.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

58.0ms	phi1
8.0ms	lambda1
8.0ms	phi2
7.0ms	(-.f64 lambda1 lambda2)
7.0ms	lambda2

Results

Error	Segments	Branch
58.0b	1	`R`
58.0b	1	`lambda1`
58.0b	1	`lambda2`
58.0b	1	`phi1`
58.0b	1	`phi2`
58.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 449 to 331 computations (26.3% saved)

regimes31.0ms (0%)

Accuracy

Total -1.3b remaining (-2.2%)

Threshold costs -1.3b (-2.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
58.1b	1	`R`
58.1b	1	`lambda1`
58.1b	1	`lambda2`
58.1b	1	`phi1`
58.1b	1	`phi2`
58.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 184 to 139 computations (24.5% saved)

simplify136.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

292×	`*-commutative`
172×	`+-commutative`
98×	`sub-neg`
94×	`neg-mul-1`
94×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	279	5259
1	491	5251
2	605	5251
3	707	5251
4	769	5251
5	808	5251
6	828	5251
7	839	5251
8	843	5251

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(if (<=.f64 lambda1 -240000000000000016962271239165121403027456) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))) (if (<=.f64 lambda1 7201608886376209/590295810358705651712) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))))))
(if (<=.f64 lambda2 -14500) (.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (if (<=.f64 lambda2 271508251957999/205688069665150755269371147819668813122841983204197482918576128) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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 (+.f64 1 (neg.f64 (.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 lambda1) (cos.f64 lambda2)))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(if (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))) (if (<=.f64 phi1 5200000000000000) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))))
(if (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))) (if (<=.f64 phi1 5200000000000000) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))))
(if (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))) (if (<=.f64 phi1 5200000000000000) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))))
(if (<=.f64 phi1 -14200000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (if (<=.f64 phi1 3299999999999999978535258967999119334598838307068101874769644830409210462208) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(if (<=.f64 phi2 -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (if (<=.f64 phi2 240) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 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 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (neg.f64 (cos.f64 phi1)) (cos.f64 phi2))) (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))
(if (<=.f64 lambda1 -240000000000000016962271239165121403027456) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))) (if (<=.f64 lambda1 7201608886376209/590295810358705651712) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))))))
(if (or (<=.f64 lambda1 -240000000000000016962271239165121403027456) (not (<=.f64 lambda1 7201608886376209/590295810358705651712))) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))))))))
(if (<=.f64 lambda2 -14500) (.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (if (<=.f64 lambda2 271508251957999/205688069665150755269371147819668813122841983204197482918576128) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(if (<=.f64 lambda2 -14500) (.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (.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 (-.f64 phi1 phi2))) 2)))))) (if (<=.f64 lambda2 271508251957999/205688069665150755269371147819668813122841983204197482918576128) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(if (<=.f64 lambda2 -14500) (.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 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.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 (-.f64 phi1 phi2))) 2)))))) (if (<=.f64 lambda2 271508251957999/205688069665150755269371147819668813122841983204197482918576128) (.f64 R (.f64 2 (atan2.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 1/2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (neg.f64 (cos.f64 phi1)) (cos.f64 phi2))) (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (cos.f64 phi2))))))))
(.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 (neg.f64 (.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 lambda1) (cos.f64 lambda2)))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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 (-.f64 1 (.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 lambda1) (cos.f64 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 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 (+.f64 1 (.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 lambda1) (cos.f64 lambda2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 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 (+.f64 1 (neg.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 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 (-.f64 1 (.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 (-.f64 phi1 phi2))) 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 (+.f64 1 (.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 (-.f64 phi1 phi2))) 2))))))
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(if (or (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (not (<=.f64 phi1 5200000000000000))) (.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 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
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(if (or (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (not (<=.f64 phi1 5200000000000000))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))) (if (<=.f64 phi1 5200000000000000) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))))
(if (or (<=.f64 phi1 -8563486156235759/1427247692705959881058285969449495136382746624) (not (<=.f64 phi1 5200000000000000))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi1 -14200000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (if (<=.f64 phi1 3299999999999999978535258967999119334598838307068101874769644830409210462208) (.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))))
(if (<=.f64 phi1 -14200000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 0 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (if (<=.f64 phi1 3299999999999999978535258967999119334598838307068101874769644830409210462208) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) 0 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(if (<=.f64 phi2 -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))) (if (<=.f64 phi2 240) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))))))
(if (or (<=.f64 phi2 -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (not (<=.f64 phi2 240))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi2 -1/2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi1 1/2)) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi2 -1/2)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi2 -1/2)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda2 -1/2)))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi2 -1/2)) (sqrt.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))))))

Compiler

Compiled 1774 to 1265 computations (28.7% saved)

soundness0.0ms (0%)

end838.0ms (0.9%)

Compiler: Compiled 1684 to 1093 computations (35.1% saved)