Details

analyze3.1s (3.3%)

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)

sample18.6s (20.2%)

Results

14.0s	5523×	body	1024	valid
2.1s	467×	body	2048	valid
1.8s	1254×	body	512	valid
639.0ms	1012×	body	256	valid
7.0ms	3×	body	1024	infinite

Bogosity

preprocess75.0ms (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)

simplify139.0ms (0.2%)

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)

prune8.0ms (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

26.0b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.3b	(.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))
▶	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
▶	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.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)

localize170.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 406 to 215 computations (47% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite138.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`associate-/l*`
862×	`associate-/r*`
538×	`associate-/r/`
398×	`add-sqr-sqrt`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	380	86
2	5081	86

Stop Event

1×	node limit

Counts

4 → 112

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))
(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 (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 (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 pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(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 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 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 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(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 (-.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 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 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simplify163.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r*`
1398×	`associate-+r+`
830×	`associate--r+`
814×	`+-commutative`
628×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	8438
1	1115	8170
2	4268	8150

Stop Event

1×	node limit

Counts

208 → 270

Calls

Call 1

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

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

localize158.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series24.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	phi2	@	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)))))
5.0ms	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)))))
3.0ms	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)))))
2.0ms	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	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite113.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`associate-+l+`
544×	`add-sqr-sqrt`
532×	`*-un-lft-identity`
530×	`pow1`
514×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	93
1	517	73
2	7183	73

Stop Event

1×	node limit

Counts

1 → 76

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)))))

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)))))

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

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simplify191.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-+r+`
1078×	`+-commutative`
952×	`associate--l+`
844×	`associate-+l-`
790×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	13162
1	1282	12844
2	4410	12838

Stop Event

1×	node limit

Counts

124 → 184

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)))
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(pow.f64 (pow.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))) 3) 1/3)
(sqrt.f64 (pow.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))) 2))
(log.f64 (exp.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)))))
(log.f64 (+.f64 1 (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))))))
(cbrt.f64 (pow.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))) 3))
(expm1.f64 (log1p.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)))))
(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)))))
(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))
(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)))))

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

localize163.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.6b	(-.f64 1 (fma.f64 (.f64 (cos.f64 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)))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 367 to 190 computations (48.2% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	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	@	-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	phi2	@	-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	phi2	@	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)))

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`add-sqr-sqrt`
528×	`*-un-lft-identity`
526×	`pow1`
498×	`add-exp-log`
498×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	511	73
2	6988	73

Stop Event

1×	node limit

Counts

1 → 33

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)))

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 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (+.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 (*.f64 (cos.f64 phi1) (*.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 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simplify109.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1054×	`distribute-lft-in`
1040×	`distribute-rgt-in`
878×	`associate-+r+`
874×	`+-commutative`
816×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	8709
1	920	8333
2	3476	8327

Stop Event

1×	node limit

Counts

81 → 118

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

localize189.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.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))
✓	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	4.5b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	4.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 381 to 205 computations (46.2% saved)

series53.0ms (0.1%)

Counts

4 → 104

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	lambda1	@	0	(-.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))
2.0ms	phi1	@	inf	(-.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))
2.0ms	phi2	@	inf	(-.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))
2.0ms	lambda2	@	inf	(-.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))
1.0ms	lambda1	@	inf	(-.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))

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`add-sqr-sqrt`
570×	`*-un-lft-identity`
568×	`pow1`
540×	`add-exp-log`
540×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	140
1	560	124
2	7555	124

Stop Event

1×	node limit

Counts

4 → 114

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)))
(-.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))

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 (.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 (.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)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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 .f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2))))) (#(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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/2)))) (#(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 fabs.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (#(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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simplify243.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-r`
856×	`fma-def`
638×	`*-commutative`
626×	`associate-l`
622×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	14870
1	1407	14354
2	5442	14106

Stop Event

1×	node limit

Counts

218 → 246

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)))
(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)))
(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)))
(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)))
(-.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))
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(-.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 (+.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))
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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 (.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))
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(-.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 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (.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))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.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 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 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 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.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 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.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 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.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 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.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 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi2))))) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))))))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi2))))) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (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 phi2 phi1))) 2))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (-.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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)))))
(pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (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
(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))))
(+.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 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 1/48 (pow.f64 lambda2 3)) (.f64 -1/2 lambda2))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (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 -1/8 (.f64 (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 -1/8 (.f64 (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))) (sin.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 lambda1 lambda1) (+.f64 (.f64 -1/8 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/48) lambda1))))
(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 (cos.f64 (.f64 lambda1 -1/2)) (.f64 1/2 lambda2)) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (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 (cos.f64 (.f64 lambda1 -1/2)) (.f64 1/2 lambda2)) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (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))))
(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))))
(+.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))) (.f64 (.f64 lambda1 lambda1) (+.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (.f64 (.f64 1/48 (cos.f64 (.f64 1/2 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 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 -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 1/48 (.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)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 (pow.f64 phi2 3) 1/48))))
(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 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 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 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 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)))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 (pow.f64 phi1 3) -1/48)))))
(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 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 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 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 phi1 phi2)))
(-.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 -1/2 (-.f64 lambda2 lambda1)))) 1) (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 1/2 (-.f64 lambda1 lambda2)))) 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))))) 1)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.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))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))) (-.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 -1/2 phi2)) 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 -1/2 phi2))) (+.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.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 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1) (.f64 (.f64 phi1 phi1) (-.f64 (.f64 (.f64 -1/2 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (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 phi1 (sin.f64 (.f64 -1/2 phi2))) (-.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 phi1 phi1) (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (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)))) 1)) (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 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 (.f64 phi1 phi1) (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (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)))) 1)) (.f64 (neg.f64 (sin.f64 (.f64 -1/2 phi2))) (+.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.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 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1) (fma.f64 -1 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6)) (.f64 (.f64 phi1 phi1) (-.f64 (.f64 (.f64 -1/2 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (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))
(-.f64 (+.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 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) (fma.f64 (.f64 phi1 phi1) (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (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) (neg.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 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 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (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 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) phi1)))) (.f64 (neg.f64 (sin.f64 (.f64 -1/2 phi2))) (+.f64 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(-.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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 phi1) phi2))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 phi1) phi2))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 phi1) phi2))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 phi1) phi2))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 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 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (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))
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(-.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))
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(-.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) -1/2)) (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 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6))) (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))
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(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (sin.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
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(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (.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))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))))) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1)) (+.f64 1 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))))) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 (fma.f64 (.f64 (.f64 (cos.f64 phi2) -1/4) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))))) (.f64 lambda2 (.f64 lambda2 (cos.f64 phi1))) 1) (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 -1/2 (cos.f64 phi2))))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (.f64 lambda2 (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) 1/2) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) -1/2)))))) (-.f64 (fma.f64 (.f64 (.f64 (cos.f64 phi2) -1/4) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))))) (.f64 lambda2 (.f64 lambda2 (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.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 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 lambda1 -1/2))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))))) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1)) (+.f64 1 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (fma.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (fma.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) 1/16))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 (fma.f64 (.f64 (.f64 (cos.f64 phi2) -1/4) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))))) (.f64 lambda2 (.f64 lambda2 (cos.f64 phi1))) 1) (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 -1/2 (cos.f64 phi2))))) (fma.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (fma.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) -1/16 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) 1/16)))))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) 1/2) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) -1/2)))) (.f64 (cos.f64 phi1) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (.f64 (fma.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 phi2) -1/16)) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 phi2))) 1/12))) (pow.f64 lambda2 3))))) (-.f64 (fma.f64 (.f64 (.f64 (cos.f64 phi2) -1/4) (+.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))))) (.f64 lambda2 (.f64 lambda2 (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 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 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 lambda1 (.f64 (cos.f64 phi1) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)))))))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (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 1 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (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 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (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 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (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)))

eval3.1s (3.4%)

Compiler: Compiled 159663 to 95501 computations (40.2% saved)

prune1.9s (2%)

Pruning

82 alts after pruning (82 fresh and 0 done)

	Pruned	Kept	Total
New	1984	82	2066
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1988	82	2070

Error

23.5b

Counts

2070 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 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 (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))
	48.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 -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))
	34.4b	(.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 (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 -1/2 phi2)) 2)))) (*.f64 R 2))
	43.5b	(.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 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	45.3b	(.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 (-.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 2))
	34.2b	(.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 (+.f64 1 (.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 R 2))
	34.4b	(.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 (+.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 2))
	45.6b	(.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 (-.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 2))
	34.3b	(.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 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (*.f64 R 2))
	45.6b	(.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 (log.f64 (exp.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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 R 2))
	43.5b	(.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 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	45.6b	(.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 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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)))) (.f64 R 2))
	26.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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)))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.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)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (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)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (+.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)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (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)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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)))))))))
	27.2b	(.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))) (/.f64 (-.f64 1 (cos.f64 (-.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)))))))
▶	43.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3) 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)))))))))
	25.2b	(.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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.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)))))) (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)))))))))
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (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)))))))))
	34.9b	(.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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (.f64 -1/2 (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	26.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (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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	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (.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 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (.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)))))))
	25.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (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))) 2))))))
	25.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fabs.f64 (-.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 phi1 phi2))) 2))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 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)))))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (exp.f64 (log.f64 (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)))))))))
	34.7b	(.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 (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)))))))))
	34.6b	(.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 (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)))))))))
	26.1b	(.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 (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)))))))))
	25.3b	(.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 (-.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)))))))))
	26.1b	(.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 (-.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)))))))))
	34.6b	(.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 (-.f64 1 (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)))))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (expm1.f64 (log.f64 (-.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	36.9b	(.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)))))))))
	37.1b	(.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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	26.1b	(.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)))))))))
	26.5b	(.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)))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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)))))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	27.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)) (.f64 (.f64 (.f64 (cos.f64 phi1) (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)))))))))
	26.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (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)))))))))
	26.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 11754 to 8108 computations (31% saved)

localize316.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 552 to 338 computations (38.8% saved)

localize252.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 212 computations (44.4% saved)

localize232.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.8b	(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)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 427 to 230 computations (46.1% saved)

series14.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	inf	(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)))))
2.0ms	lambda1	@	0	(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)))))
2.0ms	lambda2	@	0	(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)))))
2.0ms	phi2	@	0	(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)))))
2.0ms	phi1	@	0	(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)))))

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`associate-*l/`
490×	`add-sqr-sqrt`
484×	`associate-+l+`
478×	`*-un-lft-identity`
476×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	474	57
2	6213	57

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(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)))))

Outputs

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

simplify168.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-lft-in`
944×	`distribute-rgt-in`
730×	`associate-r`
538×	`associate-l`
526×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	11259
1	900	10701
2	3364	10413

Stop Event

1×	node limit

Counts

79 → 113

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 -1/4 (.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 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 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 lambda1 lambda2))) 2))))) (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.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 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2))))) (+.f64 (.f64 -1/4 (.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 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
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(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (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 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (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 phi1)) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (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 phi1)) 4) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2))) 1) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1/2)
(pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 1)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 3)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 3) 1/3)
(fabs.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))

Outputs
(.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 1/2 (/.f64 (.f64 phi1 phi1) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (.f64 (/.f64 (.f64 phi1 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 phi1 phi1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (-.f64 (.f64 (.f64 1/24 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (/.f64 (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48)) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4)))) (.f64 (/.f64 (.f64 phi1 phi1) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (+.f64 (/.f64 (+.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/24)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2)) -1/48) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4))) (.f64 (/.f64 (.f64 phi1 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (+.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 phi1 phi1)) (.f64 (/.f64 (pow.f64 phi1 4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/24 (-.f64 -1/48 (pow.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) 2))))))))
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(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (pow.f64 phi1 6) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (+.f64 1/1440 (.f64 (.f64 -1/720 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 (.f64 1/24 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (/.f64 (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48)) (/.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))) (fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (-.f64 (.f64 (.f64 1/24 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (/.f64 (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 2) 1/48)) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4)))) (.f64 (/.f64 (.f64 phi1 phi1) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))))
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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 phi1)) 2)))
(sqrt.f64 (fma.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 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(fma.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.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 1/2 (.f64 (.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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)))) (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (.f64 lambda1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))) 2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sin.f64 (.f64 lambda2 -1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.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 1/2 (.f64 (.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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.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 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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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 (-.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 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 lambda1 3)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)))) (.f64 1/2 (+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) -1/6)) (.f64 -1/2 (/.f64 (sin.f64 (.f64 lambda2 -1/2)) (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (*.f64 lambda2 -1/2)))))))) (pow.f64 lambda1 3)))))))
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (.f64 lambda1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))) 2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))))) (.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (.f64 -1/2 (/.f64 (sin.f64 (.f64 lambda2 -1/2)) (/.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))) 2)))))) (.f64 (pow.f64 lambda1 3) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sin.f64 (.f64 lambda2 -1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (.f64 (/.f64 (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2))) (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2)))))) 2)))))) (pow.f64 lambda1 3))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (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 phi1)) 2)))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 3))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 3))) (cbrt.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (-.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 phi1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1/2)
(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 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 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.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 phi1)) 2)))
(pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2)
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 3) 1/3)
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fabs.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)))
(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 phi1)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (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 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1/2))
(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 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 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.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 phi1)) 2)))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.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 phi1)) (.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 phi1)) (.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 phi1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize291.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.5b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 468 to 244 computations (47.9% saved)

series14.0ms (0%)

Counts

2 → 64

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	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))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
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))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
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))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
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))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
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))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))

rewrite122.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-sqr-sqrt`
574×	`*-un-lft-identity`
572×	`pow1`
544×	`add-exp-log`
544×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	114
1	603	90
2	7810	90

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

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

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

Outputs

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

simplify173.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1086×	`+-commutative`
1002×	`associate-+r+`
1000×	`associate-r`
846×	`associate--l+`
634×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	12896
1	1141	11058
2	4763	10998

Stop Event

1×	node limit

Counts

134 → 181

Calls

Call 1

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

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

localize253.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	4.4b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	7.4b	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)

Compiler

Compiled 487 to 268 computations (45% saved)

series24.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	phi2	@	inf	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
3.0ms	phi1	@	0	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
3.0ms	phi2	@	0	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
2.0ms	phi1	@	inf	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
2.0ms	phi2	@	-inf	(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`*-commutative`
856×	`unswap-sqr`
600×	`swap-sqr`
556×	`associate-*r/`
456×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	288	34
2	3131	34

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))

Outputs

((#(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 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))))) (#(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 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(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 sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (#(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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 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 (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)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))))) (#(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 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12))))) (#(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 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)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))

simplify108.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1544×	`unswap-sqr`
844×	`associate-+l+`
572×	`associate-r`
564×	`+-commutative`
548×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	6916
1	792	5912
2	3094	5804

Stop Event

1×	node limit

Counts

112 → 100

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.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))) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.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))) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (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))))) (sin.f64 (.f64 -1/2 phi2))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.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 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 3) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 5)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.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))) (sin.f64 (.f64 -1/2 phi2))) (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.f64 (.f64 -1/2 phi2)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2)))))))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (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 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.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))) (sin.f64 (.f64 1/2 phi1))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2)))) (pow.f64 phi2 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.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))) (sin.f64 (.f64 1/2 phi1))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2)))) (pow.f64 phi2 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.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))) (cos.f64 (.f64 1/2 phi1)))) (+.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))))) (sin.f64 (.f64 1/2 phi1))) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 5)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.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))) (sin.f64 (.f64 1/2 phi1))) (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 phi2 3)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (.f64 1/2 phi1)))))
(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 -1/8 (.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 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1)
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.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 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(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))
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(-.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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.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 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)
(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)) 6) 1/6)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(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))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))

Outputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 phi1 3/2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))))) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.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))) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 1/3 (/.f64 (.f64 phi1 phi1) (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (-.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (fma.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) 2)))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) phi1)) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 phi1 phi1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3/2) 2)) -1/3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 phi1 3/2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/3 (.f64 (/.f64 phi1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) phi1)) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4)) (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) -1/3))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.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))) (sin.f64 (.f64 -1/2 phi2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) phi1))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (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))))) (sin.f64 (.f64 -1/2 phi2))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.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 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 3) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 5)) 1/3) (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (-.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3)) (+.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))) (sin.f64 (.f64 -1/2 phi2))) (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (sin.f64 (.f64 -1/2 phi2)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2))) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 2)))))))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 1/3 (/.f64 (.f64 phi1 phi1) (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (-.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (fma.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) 2)))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) phi1)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 phi1 3) (-.f64 (fma.f64 -1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (sin.f64 (.f64 -1/2 phi2)) (.f64 (.f64 1/2 (cos.f64 (.f64 -1/2 phi2))) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4)))))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) 3) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 5))) (.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) (-.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (fma.f64 1/2 (.f64 (sin.f64 (.f64 -1/2 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 3/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2)))) 2)))))))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 phi1 phi1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3/2) 2)) -1/3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 phi1 3/2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 phi1 3) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (-.f64 (+.f64 (fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) 1/2) (fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4)) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) -1/6)) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) -7/48)) (fma.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 2/3 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3/2) (.f64 (+.f64 (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3/2) 2)) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 5))))))))) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/3 (+.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) phi1)) (.f64 (/.f64 phi1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) phi1)) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4)) (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 -1/2 phi2)))) -1/3)))))) (.f64 (/.f64 (pow.f64 phi1 3) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (-.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4)) 1/2)) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) -5/16)) (fma.f64 1/27 (/.f64 27/8 (/.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (cos.f64 (.f64 -1/2 phi2))) 3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 5))) (.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 3) (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1/4)) (.f64 1/2 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 3/2 (cos.f64 (.f64 -1/2 phi2)))) 2) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 -1/2 phi2)))) -1/3))))) 2/3))))))))
(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 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 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (*.f64 1/2 phi1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 phi2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2))) (sin.f64 (.f64 1/2 phi1)))
(fma.f64 1/3 (.f64 phi2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)))) (sin.f64 (.f64 1/2 phi1)))
(fma.f64 1/3 (.f64 phi2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)))) (sin.f64 (.f64 1/2 phi1)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.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))) (sin.f64 (.f64 1/2 phi1))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2)))) (pow.f64 phi2 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (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 -1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 phi2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 phi2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2))) (sin.f64 (.f64 1/2 phi1))))
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(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.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))) (sin.f64 (.f64 1/2 phi1))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2)))) (pow.f64 phi2 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.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))) (cos.f64 (.f64 1/2 phi1)))) (+.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))))) (sin.f64 (.f64 1/2 phi1))) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 5)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (sin.f64 (.f64 1/2 phi1)))) (+.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))) (sin.f64 (.f64 1/2 phi1))) (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1))) 1/3) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (pow.f64 phi2 3)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) phi2))) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (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 -1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 phi2))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (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)))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6) (sin.f64 (.f64 1/2 phi1)) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) 7/48))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 5))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2)) (+.f64 (fma.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (fma.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (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 -1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2) 2))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 phi2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) -3/2))) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (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 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)) 2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 phi2 phi2)) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (fma.f64 (.f64 -1/2 (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)))) (cos.f64 (.f64 1/2 phi1)) (fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) 7/48 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) 1/6))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 2/3 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (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 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)) 2))))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 5)))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 phi2 3)) (fma.f64 1/3 (.f64 phi2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -3/2)))) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (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 1/2 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)) 2) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) -1/3)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 phi2 phi2)) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) (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 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (cos.f64 (.f64 1/2 phi1))) 5/16)) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)) 3) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 5))))) (+.f64 (.f64 -1/8 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 3)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (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 1/2 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)) 2) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 (.f64 1/2 phi1)))) -1/3))))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (pow.f64 phi2 3)) (fma.f64 1/3 (.f64 phi2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) -3/2)))) (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 (cos.f64 (.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 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 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) 1/2) phi1 (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 1/2 phi1)) (.f64 (+.f64 (.f64 (.f64 phi1 phi1) -1/8) 1) (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)))))
(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 (.f64 (cos.f64 (.f64 -1/2 phi2)) 1/2) phi1 (sin.f64 (.f64 -1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 (pow.f64 phi1 3) -1/48))) (.f64 (+.f64 (.f64 (.f64 phi1 phi1) -1/8) 1) (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))))
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(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)))))))
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(+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 (pow.f64 phi2 3) 1/48))))
(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 (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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(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)))
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(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))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
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(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
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(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
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(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
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(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 phi2 phi1))) 6) 1/6)
(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))
(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)))
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
(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)))
(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)))
(-.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 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(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 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/6)))
(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3/2))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/6))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)))
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/6))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12)))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/6)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)))
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 3) 1/12)))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (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)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (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 phi2 phi1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (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)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (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 phi2 phi1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/12))
(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 phi2 phi1))) 6) 1/6)
(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)))
(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)) 6) 1/6)
(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 phi2 phi1))) 6) 1/6)
(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))
(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)))
(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)))

eval4.0s (4.3%)

Compiler: Compiled 165935 to 103841 computations (37.4% saved)

prune1.9s (2.1%)

Pruning

144 alts after pruning (144 fresh and 0 done)

	Pruned	Kept	Total
New	1900	105	2005
Fresh	38	39	77
Picked	1	0	1
Done	4	0	4
Total	1943	144	2087

Error

12.2b

Counts

2087 → 144

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 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 (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))
	34.4b	(.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 (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 -1/2 phi2)) 2)))) (*.f64 R 2))
	45.3b	(.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 (-.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 2))
	34.2b	(.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 (+.f64 1 (.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 R 2))
	34.4b	(.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 (+.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 2))
	45.6b	(.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 (-.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 2))
	43.5b	(.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 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	45.6b	(.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 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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)))) (.f64 R 2))
	46.9b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sin.f64 (.f64 lambda2 -1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (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)))))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 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)))))))))
	43.8b	(.f64 R (.f64 2 (atan2.f64 (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 phi1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) 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)))))))))
	46.3b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (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)))))))))
▶	55.2b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	26.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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)))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.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)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (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)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi1) (.f64 (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)))))))
	26.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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)))))))))
▶	27.2b	(.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))) (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	33.0b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	25.2b	(.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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.0b	(.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 (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)))))) (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)))))))))
	33.7b	(.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 (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)))))))))
	33.7b	(.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 (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)))))))))
	25.2b	(.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 (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)))))))))
▶	13.5b	(.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 (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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	25.3b	(.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 (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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	13.5b	(.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 (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)))))))))
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	36.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fabs.f64 (-.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 phi1 phi2))) 2))))))))
	44.4b	(.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 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)))))))))
▶	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	43.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.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)))))))))
	36.6b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	37.1b	(.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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))))
	34.1b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 1 (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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	34.6b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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)))))))))
	46.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (.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)))))))
	27.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)) (.f64 (.f64 (.f64 (cos.f64 phi1) (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)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (.f64 (.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)))))))
	38.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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 (.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)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	45.9b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))

Compiler

Compiled 20672 to 14698 computations (28.9% saved)

localize711.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)
✓	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)
✓	0.9b	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 685 to 459 computations (33% saved)

series26.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	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	phi1	@	inf	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))
2.0ms	phi2	@	inf	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))
2.0ms	phi2	@	0	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))
1.0ms	phi1	@	-inf	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))

rewrite140.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-*r/`
586×	`associate-+l+`
490×	`add-sqr-sqrt`
476×	`*-un-lft-identity`
474×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	649	75
2	6196	75

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

Inputs

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

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

Outputs

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

simplify239.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-/r*`
860×	`+-commutative`
572×	`associate-+l-`
568×	`fma-def`
500×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	28883
1	1118	25551
2	4259	25523

Stop Event

1×	node limit

Counts

289 → 280

Calls

Call 1

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

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

localize127.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.5b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 334 to 168 computations (49.7% saved)

localize169.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	1.3b	(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 -1/2 lambda2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 442 to 244 computations (44.8% saved)

series18.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	lambda2	@	0	(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 -1/2 lambda2)))))
2.0ms	phi1	@	0	(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 -1/2 lambda2)))))
2.0ms	phi2	@	0	(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 -1/2 lambda2)))))
2.0ms	lambda1	@	0	(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 -1/2 lambda2)))))
1.0ms	lambda1	@	inf	(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 -1/2 lambda2)))))

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`add-sqr-sqrt`
534×	`*-un-lft-identity`
532×	`pow1`
514×	`associate-+l+`
506×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	534	73
2	6889	73

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(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 -1/2 lambda2)))))

Outputs

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

simplify116.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

922×	`distribute-lft-in`
908×	`distribute-rgt-in`
648×	`associate-r`
630×	`associate-/l*`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	10881
1	792	10345
2	2892	10023

Stop Event

1×	node limit

Counts

75 → 107

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 1/1440) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
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(.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.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 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1/2)
(pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1/4) 2)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 3/2) 1/3)
(fabs.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.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 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.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 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(hypot.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sin.f64 (.f64 1/2 phi1)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.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 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))

Outputs
(sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))
(sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (.f64 phi1 (.f64 phi1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4)))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))
(fma.f64 1/2 (.f64 (.f64 phi1 phi1) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2))) 1/4))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 phi2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 1/24) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (.f64 phi1 (.f64 phi1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4)))) (fma.f64 1/2 (.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/24 -1/48) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1/4))) 2)) (.f64 (pow.f64 phi1 4) (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(+.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 phi1 (.f64 phi1 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2))) 1/4))) (.f64 (-.f64 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2))) 1/24 -1/48) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 phi2))) 1/4))) 2)) (pow.f64 phi1 4)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 1/1440) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (pow.f64 phi1 6) (+.f64 (fma.f64 -1/720 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 1/1440) (.f64 -1/2 (.f64 (/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 1/24) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (sin.f64 (.f64 -1/2 lambda2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 1/24) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (+.f64 1/4 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) 2))) (pow.f64 phi1 4))))))
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(fma.f64 -1/4 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (fma.f64 1/2 (/.f64 (.f64 lambda2 lambda2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 phi1)))) 2)))) (sin.f64 (.f64 1/2 phi1))))
(fma.f64 -1/4 (/.f64 (cos.f64 phi2) (/.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 lambda2 lambda2) (sin.f64 (.f64 1/2 phi1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) 2))) (sin.f64 (.f64 1/2 phi1))))
(fma.f64 -1/4 (.f64 (.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1))) lambda2) (fma.f64 1/2 (.f64 (/.f64 lambda2 (/.f64 (sin.f64 (.f64 1/2 phi1)) lambda2)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1)))) 2))) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 lambda2 3) (-.f64 (+.f64 (.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 phi1)))) 2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 phi1)))) 2))) (sin.f64 (.f64 1/2 phi1)))) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 -1/4 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (fma.f64 1/2 (/.f64 (pow.f64 lambda2 3) (/.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1/12) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 phi1)))) 2))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 1/2 (/.f64 (.f64 lambda2 lambda2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 phi1)))) 2)))) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 -1/4 (/.f64 (cos.f64 phi2) (/.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda2 (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1)))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 lambda2 3) (sin.f64 (.f64 1/2 phi1))) (fma.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1/12 (/.f64 (.f64 1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 lambda2 lambda2) (sin.f64 (.f64 1/2 phi1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) 2))) (sin.f64 (.f64 1/2 phi1)))))
(fma.f64 -1/4 (.f64 (.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1))) lambda2) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 lambda2 3) (sin.f64 (.f64 1/2 phi1))) (fma.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1/12 (.f64 (/.f64 (.f64 (cos.f64 phi2) 1/4) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1)))) 2))))) (fma.f64 1/2 (.f64 (/.f64 lambda2 (/.f64 (sin.f64 (.f64 1/2 phi1)) lambda2)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))) 1/4)) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 phi1))) (sin.f64 (.f64 1/2 lambda1)))) 2))) (sin.f64 (*.f64 1/2 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1)
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))) 1)
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(.f64 1 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1/4) (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 1/4))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
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(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(hypot.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sin.f64 (.f64 1/2 phi1)))
(hypot.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sin.f64 (.f64 1/2 phi1)))
(hypot.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))) (sin.f64 (.f64 1/2 phi1)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1/2))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(exp.f64 (.f64 (log.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) 1))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))

localize157.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.6b	(cos.f64 (-.f64 phi1 phi2))

Compiler

Compiled 412 to 205 computations (50.2% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	phi1	@	0	(cos.f64 (-.f64 phi1 phi2))
0.0ms	phi2	@	0	(cos.f64 (-.f64 phi1 phi2))
0.0ms	phi2	@	0	(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
0.0ms	phi1	@	0	(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))
0.0ms	phi2	@	-inf	(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`*-commutative`
804×	`associate-*r/`
732×	`unswap-sqr`
598×	`associate-*l/`
562×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	197	28
2	2649	28

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(cos.f64 (-.f64 phi1 phi2))
(-.f64 1 (cos.f64 (-.f64 phi1 phi2)))

Outputs

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

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

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

740×	`+-commutative`
728×	`associate-*r/`
698×	`associate--r+`
564×	`associate-*l/`
506×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	6946
1	1012	6366
2	3994	6336

Stop Event

1×	node limit

Counts

140 → 233

Calls

Call 1

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

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

localize226.0ms (0.2%)

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	(-.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)))))
	0.8b	(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)))))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 563 to 353 computations (37.3% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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)))))
1.0ms	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	lambda1	@	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)))))
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)))))
1.0ms	lambda2	@	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)))))

rewrite59.0ms (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) ((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)) (*.f64 -1 (*.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 (-.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)))))) (#(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)) (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (cbrt.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 *.f64 (cbrt.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)) (cbrt.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 *.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 1 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (+.f64 (+.f64 (pow.f64 (-.f64 (*.f64 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(*.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 /.f64 1 (/.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))) (-.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))))))) 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simplify139.0ms (0.2%)

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))))
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(.f64 (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 1/2 (-.f64 lambda1 lambda2))) 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 1/2 (-.f64 lambda1 lambda2))) 2))))))
(.f64 (cbrt.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 (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)))
(.f64 (cbrt.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)) (cbrt.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 (-.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 1 (+.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 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 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))))
(/.f64 1 (/.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))) (-.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 (-.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)))
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(-.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))))
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(/.f64 (.f64 (-.f64 1 (pow.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)) 2)) 1) (+.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))))
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(/.f64 (+.f64 -1 (pow.f64 (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)) 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 (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)))))
(.f64 (-.f64 1 (pow.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)) 3)) (/.f64 1 (+.f64 1 (+.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)) (pow.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)) 2)))))
(/.f64 (-.f64 1 (pow.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)) 3)) (+.f64 1 (.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2))) (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 (-.f64 1 (pow.f64 (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)) (-.f64 (pow.f64 (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)) 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)))))
(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)
(-.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)))
(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))
(sqrt.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))) 2))
(fabs.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))))
(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)))

eval6.0s (6.5%)

Compiler: Compiled 213956 to 134653 computations (37.1% saved)

prune4.5s (4.9%)

Pruning

216 alts after pruning (216 fresh and 0 done)

	Pruned	Kept	Total
New	2355	112	2467
Fresh	35	104	139
Picked	1	0	1
Done	4	0	4
Total	2395	216	2611

Error

12.1b

Counts

2611 → 216

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 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 (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))
	34.4b	(.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 (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 -1/2 phi2)) 2)))) (*.f64 R 2))
	45.3b	(.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 (-.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 2))
	34.4b	(.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 (+.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 2))
	45.6b	(.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 (-.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 2))
	43.5b	(.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 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	45.6b	(.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 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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)))) (.f64 R 2))
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	34.6b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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)))))))))
	37.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.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 (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	46.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (.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)))))))
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2)) (.f64 (fma.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))) (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 2 (cos.f64 (.f64 1/2 phi1)))))) (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	27.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (fma.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)))) (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	38.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.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))))) (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	37.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 2 (cos.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
	38.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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 (.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)))))))
	35.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	54.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.9b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3/2)) (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)))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))

Compiler

Compiled 30514 to 21892 computations (28.3% saved)

localize292.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2)
✓	0.4b	(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)
	0.9b	(-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (*.f64 1/2 phi2))))) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 645 to 429 computations (33.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	inf	(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)
1.0ms	phi1	@	-inf	(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)
0.0ms	phi2	@	inf	(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)
0.0ms	phi2	@	-inf	(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)
0.0ms	phi2	@	0	(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)

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`unswap-sqr`
960×	`swap-sqr`
474×	`distribute-rgt-in`
426×	`distribute-lft-in`
364×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	362	61
2	4233	61

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(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)

Outputs

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

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1132×	`fma-def`
888×	`+-commutative`
674×	`*-commutative`
552×	`times-frac`
472×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	5089
1	474	4787
2	1557	4731
3	4221	4687

Stop Event

1×	node limit

Counts

61 → 79

Calls

Call 1

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

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

localize130.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 299 to 160 computations (46.5% saved)

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 434 to 256 computations (41% saved)

localize211.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(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 -1/2 lambda2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.5b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 467 to 260 computations (44.3% saved)

localize256.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.8b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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)))))
	4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 608 to 371 computations (39% saved)

series30.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite51.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`add-sqr-sqrt`
698×	`*-un-lft-identity`
696×	`pow1`
654×	`add-exp-log`
654×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	127
1	676	127

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 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(*.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 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(*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (cos.f64 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simplify231.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1838×	`distribute-rgt-in`
1838×	`distribute-lft-in`
808×	`associate-r`
630×	`*-commutative`
580×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	16682
1	930	16120
2	3502	16108

Stop Event

1×	node limit

Counts

64 → 96

Calls

Call 1

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

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

eval3.8s (4.2%)

Compiler: Compiled 166453 to 109929 computations (34% saved)

prune2.0s (2.2%)

Pruning

267 alts after pruning (267 fresh and 0 done)

	Pruned	Kept	Total
New	1868	74	1942
Fresh	18	193	211
Picked	1	0	1
Done	4	0	4
Total	1891	267	2158

Error

11.8b

Counts

2158 → 267

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 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 (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))
	34.4b	(.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 (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 -1/2 phi2)) 2)))) (*.f64 R 2))
	34.4b	(.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 (+.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 2))
	45.6b	(.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 (-.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 2))
	43.5b	(.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 (fabs.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	45.6b	(.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 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (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)))) (.f64 R 2))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))
	43.4b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 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)))))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 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)))))))))
	48.8b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) 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)))))))))
	43.2b	(.f64 R (.f64 2 (atan2.f64 (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 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)))))))))
	43.8b	(.f64 R (.f64 2 (atan2.f64 (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 phi1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) 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)))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (sin.f64 (.f64 1/2 phi1)))) (sin.f64 (.f64 1/2 phi1))) (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)))))))))
	56.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.f64 (.f64 -1/8 lambda2) lambda2) 1) (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)))))))))
	56.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 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)))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 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)))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (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)))))))
	58.9b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.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)))))))))
	58.0b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.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)))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (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)))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	55.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 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)))))))))
	58.9b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	56.8b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	56.8b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (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)))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.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)))))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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)))))))))
	56.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	56.7b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))
	57.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	56.6b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	55.2b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (pow.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)) (-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	55.3b	(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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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	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.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)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.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)))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (log.f64 (exp.f64 (pow.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)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (log.f64 (exp.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)))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (expm1.f64 (log1p.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)))))))))
	45.9b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.8b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3/2)) (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)))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) 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)))))))))

Compiler

Compiled 17935 to 13072 computations (27.1% saved)

regimes4.1s (4.4%)

Counts

377 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.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 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.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 (sin.f64 (.f64 1/2 phi1)) (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))) (fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (log.f64 (exp.f64 (pow.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (expm1.f64 (log1p.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 1) 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 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 lambda2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (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)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.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))))) (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (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 (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (fma.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.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 (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.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 (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.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 (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 (-.f64 (.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 (sqrt.f64 (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 2 (cos.f64 (.f64 1/2 phi1)))))) (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (-.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 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 (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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 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 (-.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 (-.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 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (+.f64 (fma.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)))) (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (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 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) 2)) (.f64 (fma.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))) (.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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))) (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))) (sin.f64 (.f64 lambda2 -1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (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)))))))))

Outputs

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

Calls

12 calls:

363.0ms	lambda2
316.0ms	lambda1
315.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
284.0ms	(+.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))))
282.0ms	R

Results

Error	Segments	Branch
13.5b	1	`R`
13.5b	1	`lambda1`
13.5b	1	`lambda2`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.5b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.5b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.5b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 24461 to 15167 computations (38% saved)

regimes4.2s (4.5%)

Counts

356 → 1

Calls

Call 1

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

Outputs

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

360.0ms	(+.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))))
343.0ms	(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)))))))
331.0ms	(.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))))))))
320.0ms	(.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)))))))))
297.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
13.5b	1	`R`
13.5b	1	`lambda1`
13.5b	1	`lambda2`
13.5b	1	`phi1`
13.5b	1	`phi2`
13.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.5b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.5b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.5b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 22230 to 13677 computations (38.5% saved)

regimes4.5s (4.9%)

Counts

350 → 1

Calls

Call 1

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

Calls

12 calls:

616.0ms	phi1
408.0ms	(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)))))))
313.0ms	phi2
312.0ms	(.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))))))))
299.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

Results

Error	Segments	Branch
25.1b	1	`R`
25.1b	1	`lambda1`
25.1b	1	`lambda2`
25.1b	1	`phi1`
25.1b	1	`phi2`
25.1b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
25.1b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
25.1b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
25.1b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
25.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21683 to 13320 computations (38.6% saved)

regimes2.5s (2.7%)

Counts

259 → 1

Calls

Call 1

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

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 (fabs.f64 (-.f64 1 (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))))))))

Calls

12 calls:

244.0ms	(.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))))))))
231.0ms	phi2
198.0ms	R
198.0ms	lambda2
186.0ms	lambda1

Results

Error	Segments	Branch
25.6b	1	`R`
25.6b	1	`lambda1`
25.6b	1	`lambda2`
25.6b	1	`phi1`
25.6b	1	`phi2`
25.6b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
25.6b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
25.6b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
25.6b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
25.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 14829 to 9052 computations (39% saved)

regimes1.8s (2%)

Counts

221 → 1

Calls

Call 1

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

138.0ms	(+.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))))
130.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
126.0ms	(-.f64 lambda1 lambda2)
125.0ms	(.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))))))))
122.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
26.0b	1	`R`
26.0b	1	`lambda1`
26.0b	1	`lambda2`
26.0b	1	`phi1`
26.0b	1	`phi2`
26.0b	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)))))))))`
26.0b	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))))))))`
26.0b	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)))))))`
26.0b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
26.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
26.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
26.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 12312 to 7534 computations (38.8% saved)

regimes759.0ms (0.8%)

Counts

109 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.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 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.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 (sin.f64 (.f64 1/2 phi1)) (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))) (fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))
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(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (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 (sqrt.f64 (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))))) (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 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (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 (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 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))

Calls

8 calls:

149.0ms	phi1
145.0ms	phi2
54.0ms	(-.f64 lambda1 lambda2)
54.0ms	R
52.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
27.2b	1	`R`
27.2b	1	`lambda1`
27.2b	1	`lambda2`
25.2b	3	`phi1`
25.3b	3	`phi2`
27.2b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
27.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5189 to 3254 computations (37.3% saved)

bsearch513.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
306.0ms	123818812.36486095	55101516050.92073
205.0ms	-1.867197869727825e+22	-518636513295803700.0

Results

375.0ms	144×	body	1024	valid
51.0ms	43×	body	512	valid
44.0ms	14×	body	2048	valid
31.0ms	55×	body	256	valid
2.0ms	1×	body	1024	infinite

Compiler

Compiled 1982 to 1469 computations (25.9% saved)

regimes1.1s (1.2%)

Counts

97 → 3

Calls

Call 1

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

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

Calls

8 calls:

130.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
129.0ms	lambda2
127.0ms	phi1
126.0ms	phi2
126.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
34.1b	1	`R`
34.1b	1	`lambda1`
32.2b	2	`lambda2`
25.3b	3	`phi1`
25.3b	3	`phi2`
32.9b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.9b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.9b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4493 to 2830 computations (37% saved)

bsearch419.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
219.0ms	123818812.36486095	55101516050.92073
197.0ms	-1.867197869727825e+22	-518636513295803700.0

Results

264.0ms	142×	body	1024	valid
57.0ms	44×	body	512	valid
51.0ms	15×	body	2048	valid
33.0ms	55×	body	256	valid
2.0ms	1×	body	1024	infinite

Compiler

Compiled 1966 to 1461 computations (25.7% saved)

regimes1.1s (1.2%)

Counts

95 → 3

Calls

Call 1

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

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

Calls

8 calls:

122.0ms	phi2
121.0ms	(-.f64 lambda1 lambda2)
121.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
121.0ms	phi1
120.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
32.6b	3	`R`
32.5b	3	`lambda1`
32.6b	3	`lambda2`
25.3b	3	`phi1`
26.0b	3	`phi2`
33.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.1b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4386 to 2768 computations (36.9% saved)

bsearch411.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
200.0ms	123818812.36486095	55101516050.92073
209.0ms	-1.867197869727825e+22	-518636513295803700.0

Results

289.0ms	150×	body	1024	valid
51.0ms	45×	body	512	valid
32.0ms	10×	body	2048	valid
27.0ms	51×	body	256	valid
2.0ms	1×	body	1024	infinite

Compiler

Compiled 1950 to 1453 computations (25.5% saved)

regimes1.3s (1.4%)

Counts

94 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

191.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
191.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
185.0ms	(-.f64 lambda1 lambda2)
153.0ms	lambda2
153.0ms	lambda1

Results

Error	Segments	Branch
35.3b	1	`R`
33.2b	3	`lambda1`
32.3b	4	`lambda2`
25.6b	3	`phi1`
26.0b	3	`phi2`
32.4b	5	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.3b	5	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.3b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4333 to 2736 computations (36.9% saved)

bsearch384.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
218.0ms	3.208478416800201e-19	3.0131476066839375e-10
163.0ms	-518636513295803700.0	-2935564794219614.5

Results

243.0ms	136×	body	1024	valid
49.0ms	43×	body	512	valid
45.0ms	14×	body	2048	valid
37.0ms	63×	body	256	valid

Compiler

Compiled 1916 to 1436 computations (25.1% saved)

regimes1.2s (1.4%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

Calls

8 calls:

184.0ms	(-.f64 lambda1 lambda2)
184.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
178.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
150.0ms	lambda2
147.0ms	lambda1

Results

Error	Segments	Branch
35.3b	1	`R`
33.2b	3	`lambda1`
32.3b	4	`lambda2`
25.6b	3	`phi1`
26.0b	3	`phi2`
32.4b	5	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.3b	5	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.3b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4227 to 2668 computations (36.9% saved)

bsearch386.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
200.0ms	3.208478416800201e-19	3.0131476066839375e-10
184.0ms	-518636513295803700.0	-2935564794219614.5

Results

260.0ms	139×	body	1024	valid
41.0ms	12×	body	2048	valid
38.0ms	37×	body	512	valid
37.0ms	68×	body	256	valid

Compiler

Compiled 1902 to 1429 computations (24.9% saved)

regimes878.0ms (1%)

Counts

83 → 3

Calls

Call 1

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

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

Calls

8 calls:

140.0ms	lambda1
135.0ms	phi2
105.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
105.0ms	(-.f64 lambda1 lambda2)
105.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
35.3b	1	`R`
33.2b	3	`lambda1`
35.3b	1	`lambda2`
28.6b	3	`phi1`
32.6b	3	`phi2`
33.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3766 to 2373 computations (37% saved)

bsearch403.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
211.0ms	3.208478416800201e-19	3.0131476066839375e-10
190.0ms	-120.69726342438618	-0.008215301001747333

Results

262.0ms	143×	body	1024	valid
53.0ms	47×	body	512	valid
40.0ms	13×	body	2048	valid
36.0ms	69×	body	256	valid

Compiler

Compiled 1998 to 1523 computations (23.8% saved)

regimes953.0ms (1%)

Counts

81 → 3

Calls

Call 1

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

Calls

8 calls:

197.0ms	phi2
172.0ms	lambda1
106.0ms	phi1
101.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
100.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
35.3b	1	`R`
33.2b	3	`lambda1`
35.3b	1	`lambda2`
28.6b	3	`phi1`
32.6b	3	`phi2`
33.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3664 to 2307 computations (37% saved)

bsearch536.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
261.0ms	3.208478416800201e-19	3.0131476066839375e-10
273.0ms	-120.69726342438618	-0.008215301001747333

Results

282.0ms	154×	body	1024	valid
150.0ms	41×	body	512	valid
60.0ms	19×	body	2048	valid
33.0ms	58×	body	256	valid
2.0ms	1×	body	1024	infinite

Compiler

Compiled 1982 to 1515 computations (23.6% saved)

regimes1.5s (1.6%)

Counts

80 → 3

Calls

Call 1

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

Calls

8 calls:

302.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
271.0ms	lambda1
213.0ms	phi2
207.0ms	phi1
169.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
35.3b	1	`R`
33.2b	3	`lambda1`
35.3b	1	`lambda2`
29.3b	3	`phi1`
32.9b	3	`phi2`
33.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3613 to 2275 computations (37% saved)

bsearch694.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
385.0ms	3.208478416800201e-19	3.0131476066839375e-10
307.0ms	-1.867197869727825e+22	-518636513295803700.0

Results

515.0ms	159×	body	1024	valid
73.0ms	12×	body	2048	valid
54.0ms	48×	body	512	valid
28.0ms	53×	body	256	valid

Compiler

Compiled 2016 to 1532 computations (24% saved)

regimes456.0ms (0.5%)

Counts

79 → 1

Calls

Call 1

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

Calls

8 calls:

56.0ms	phi2
43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	R
42.0ms	phi1
41.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
35.3b	1	`R`
35.3b	1	`lambda1`
35.3b	1	`lambda2`
35.3b	1	`phi1`
35.3b	1	`phi2`
35.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
35.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
35.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3564 to 2243 computations (37.1% saved)

regimes685.0ms (0.7%)

Counts

74 → 3

Calls

Call 1

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

Outputs

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

Calls

8 calls:

139.0ms	phi1
101.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
100.0ms	(-.f64 lambda1 lambda2)
97.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
40.0ms	lambda1

Results

Error	Segments	Branch
48.0b	1	`R`
48.0b	1	`lambda1`
48.0b	1	`lambda2`
45.9b	3	`phi1`
48.0b	1	`phi2`
45.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
45.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
45.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3283 to 2070 computations (36.9% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4019206183616243e-50	5.0247817646344045e-45
0.0ms	-3.015437601707565e-32	-1.2001859238159936e-37

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes459.0ms (0.5%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

8 calls:

87.0ms	(-.f64 lambda1 lambda2)
72.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
68.0ms	phi1
67.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
25.0ms	phi2

Results

Error	Segments	Branch
48.0b	1	`R`
48.0b	1	`lambda1`
48.0b	1	`lambda2`
46.9b	2	`phi1`
48.0b	1	`phi2`
45.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
45.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
45.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2230 to 1432 computations (35.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4019206183616243e-50	5.0247817646344045e-45
0.0ms	-3.015437601707565e-32	-1.2001859238159936e-37

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes553.0ms (0.6%)

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

83.0ms	R
79.0ms	phi1
78.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
77.0ms	(-.f64 lambda1 lambda2)
60.0ms	lambda2

Results

Error	Segments	Branch
53.6b	2	`R`
54.2b	2	`lambda1`
53.9b	3	`lambda2`
51.1b	3	`phi1`
54.1b	2	`phi2`
50.9b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
52.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
52.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2031 to 1308 computations (35.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.009603091808121e-51	2.5123908823172023e-45

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes523.0ms (0.6%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.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 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.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 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.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 (sin.f64 (.f64 1/2 phi1)) (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))) (fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 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)))))))))

Outputs

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

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

Calls

8 calls:

113.0ms	R
85.0ms	(-.f64 lambda1 lambda2)
74.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
59.0ms	phi1
53.0ms	phi2

Results

Error	Segments	Branch
53.6b	2	`R`
54.2b	2	`lambda1`
53.9b	3	`lambda2`
51.1b	3	`phi1`
54.1b	2	`phi2`
50.9b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
53.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
53.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1070 to 717 computations (33% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.009603091808121e-51	2.5123908823172023e-45

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes294.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

8 calls:

63.0ms	lambda2
48.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
44.0ms	phi2
41.0ms	(-.f64 lambda1 lambda2)
24.0ms	phi1

Results

Error	Segments	Branch
53.6b	2	`R`
54.2b	2	`lambda1`
54.0b	3	`lambda2`
51.1b	3	`phi1`
54.1b	2	`phi2`
50.9b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
53.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
53.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 628 to 431 computations (31.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.009603091808121e-51	2.5123908823172023e-45

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes117.0ms (0.1%)

Accuracy

Total -2.6b remaining (-4.7%)

Threshold costs -2.6b (-4.7%)

Counts

15 → 1

Calls

Call 1

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

Calls

8 calls:

9.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
9.0ms	(-.f64 lambda1 lambda2)
9.0ms	lambda1
8.0ms	phi1
8.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
55.9b	1	`R`
55.9b	1	`lambda1`
55.9b	1	`lambda2`
55.9b	1	`phi1`
55.9b	1	`phi2`
55.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
55.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
55.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 594 to 409 computations (31.1% saved)

simplify223.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

220×	`*-commutative`
160×	`+-commutative`
94×	`sub-neg`
74×	`neg-sub0`
70×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	6453
1	419	6453
2	533	6453
3	620	6453
4	679	6453
5	698	6453
6	707	6453
7	715	6453
8	720	6453
9	722	6453

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 (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 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.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 (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 (-.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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 (fabs.f64 (-.f64 1 (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))))))))
(.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 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (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))))))))) (if (<=.f64 phi1 125000000) (.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 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 125000000) (.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 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 125000000) (.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 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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -3000000000000000) (.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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 7737125245533627/38685626227668133590597632) (.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 (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 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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -3000000000000000) (.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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (if (<=.f64 phi1 5570730176784211/309485009821345068724781056) (.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 (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 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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -1224979098644775/144115188075855872) (.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (if (<=.f64 phi1 1450710983537555/4835703278458516698824704) (.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 (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 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -1098878309078401/9007199254740992) (.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (if (<=.f64 phi1 3010670175542045/316912650057057350374175801344) (.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 (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 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -560000000000000000) (.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (if (<=.f64 phi1 1450710983537555/4835703278458516698824704) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (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 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 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 (-.f64 1 (cos.f64 (-.f64 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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 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 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (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 (-.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (fma.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.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)))))))))
(.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 (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 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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 (-.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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)))))) (sqrt.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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)))))) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) 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 (fabs.f64 (-.f64 1 (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))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (fabs.f64 (-.f64 1 (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))))))))
(.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 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.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 (.f64 (cos.f64 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 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (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))))))))) (if (<=.f64 phi1 125000000) (.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 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))) (if (<=.f64 phi1 125000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (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 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.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 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 125000000) (.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 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
(if (<=.f64 phi1 -520000000000000000) (.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 phi1 1/2)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 125000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (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 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 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 (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 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 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)))))) (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 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 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 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (not (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (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 (sin.f64 (.f64 phi1 1/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.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 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -7307508186654515/365375409332725729550921208179070754913983135744) (not (<=.f64 (-.f64 lambda1 lambda2) 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (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 (sin.f64 (.f64 phi1 1/2)) (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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi1 1/2)) (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 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))) (sqrt.f64 (-.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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi1 1/2)) (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 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))) (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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (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))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi1 1/2)) (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 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))) (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 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 phi1 1/2)) (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 (sin.f64 (.f64 1/2 phi1)) (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 (sin.f64 (.f64 phi1 1/2)) (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)))))))

Compiler

Compiled 2172 to 1521 computations (30% saved)

soundness351.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1412×	`associate-/r*`
1398×	`associate-+r+`
1362×	`distribute-lft-neg-in`
1026×	`distribute-lft-in`
928×	`distribute-rgt-neg-in`

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
0	426	8438
1	1115	8170
2	4268	8150

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 777 to 511 computations (34.2% saved)

end1.7s (1.8%)

Compiler: Compiled 2072 to 1318 computations (36.4% saved)