Details

analyze2.9s (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample16.8s (18.5%)

Results

12.1s	5454×	body	1024	valid
2.1s	1284×	body	512	valid
1.9s	469×	body	2048	valid
752.0ms	1049×	body	256	valid
4.0ms	2×	body	1024	infinite
1.0ms	1×	body	512	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)

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

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

eval5.0ms (0%)

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

prune6.0ms (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

23.6b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.6b	(.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 (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))
▶	23.6b	(.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))))))
▶	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	23.6b	(.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 (-.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 182 computations (34.1% saved)

localize201.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.4b	(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	phi2	@	0	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
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	phi1	@	0	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite108.0ms (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 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2) (cbrt.f64 (-.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)) 4)) (/.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)) 6)) (/.f64 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify119.0ms (0.1%)

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)

localize178.0ms (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)))))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series56.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	lambda1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
4.0ms	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)))))
2.0ms	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)))))

rewrite109.0ms (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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(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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simplify205.0ms (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)))

localize242.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
✓	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.4b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 428 to 225 computations (47.4% saved)

series18.0ms (0%)

Counts

4 → 104

Calls

30 calls:

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

rewrite116.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	140
1	564	124
2	7672	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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))

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

simplify194.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-r`
866×	`fma-def`
642×	`associate--l+`
628×	`*-commutative`
592×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	14642
1	1400	14090
2	5288	13878

Stop Event

1×	node limit

Counts

218 → 252

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))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 phi2 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))) (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))) (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/16 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.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 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (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 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (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 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (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 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (.f64 (cos.f64 phi1) (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 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.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 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/16 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))) (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 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 6)) (+.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (-.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (neg.f64 (+.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 3) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 6))) (neg.f64 (+.f64 (.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (+.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4)))))
(pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(fma.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

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

localize199.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.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))
	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 381 to 205 computations (46.2% saved)

series16.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	lambda2	@	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))
1.0ms	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))
1.0ms	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	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))
1.0ms	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))

rewrite134.0ms (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	89
1	560	73
2	7555	73

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs

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

simplify123.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1490×	`distribute-lft-in`
1414×	`distribute-rgt-in`
1110×	`+-commutative`
630×	`associate-r`
628×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	11793
1	1052	11407
2	3913	11229

Stop Event

1×	node limit

Counts

95 → 139

Calls

Call 1

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

eval3.0s (3.3%)

Compiler: Compiled 151260 to 91105 computations (39.8% saved)

prune1.8s (2%)

Pruning

98 alts after pruning (98 fresh and 0 done)

	Pruned	Kept	Total
New	1844	98	1942
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1848	98	1946

Error

21.7b

Counts

1946 → 98

Alt Table

Click to see full alt table

Status	Error	Program
	44.4b	(.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))
	46.6b	(.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))
	34.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 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))
	35.7b	(.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 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))
	32.1b	(.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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	32.4b	(.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 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (.f64 R 2))
	39.9b	(.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))
	41.5b	(.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 (.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))
	37.7b	(.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 (+.f64 (.f64 (.f64 1/2 phi1) (cos.f64 (.f64 -1/2 phi2))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi1 phi1)) 1) (sin.f64 (.f64 -1/2 phi2)))) 2)))) (*.f64 R 2))
	31.3b	(.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 (+.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))
	31.2b	(.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 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 R 2))
	32.4b	(.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 (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 R 2))
	41.9b	(.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))
	41.9b	(.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 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) 1))) (*.f64 R 2))
	32.1b	(.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 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 R 2))
	32.4b	(.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 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))
	40.0b	(.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 (fma.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 R 2))
	41.9b	(.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))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (fabs.f64 (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))
	36.1b	(.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 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	32.1b	(.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 (+.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))))))
	36.4b	(.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 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))) (.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (fma.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))))))) (-.f64 (fma.f64 (fma.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 -1/2 (sin.f64 (.f64 -1/2 lambda2))))) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	23.7b	(.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 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	23.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	35.9b	(.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)) (+.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)))))))))
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▶	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)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.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)))))))))
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▶	25.4b	(.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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.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 (.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)))))))))
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (.f64 (.f64 (.f64 (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)))))))))
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.3b	(.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)))))))))
	35.0b	(.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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.3b	(.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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.6b	(.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 14788 to 10230 computations (30.8% saved)

localize221.0ms (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)
	0.7b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 552 to 338 computations (38.8% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	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	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)
1.0ms	phi1	@	-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)
1.0ms	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)
1.0ms	phi1	@	0	(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)

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`distribute-lft-in`
884×	`associate-*r/`
740×	`associate-*l/`
534×	`associate-+l+`
376×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	363	23
2	4614	23

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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

simplify180.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-lft-in`
880×	`distribute-rgt-in`
664×	`distribute-lft-neg-in`
652×	`associate-/l*`
546×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	15225
1	1088	13663
2	4423	13063

Stop Event

1×	node limit

Counts

125 → 183

Calls

Call 1

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

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

localize159.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.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)))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 212 computations (44.4% saved)

series7.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite142.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`associate-*r/`
902×	`associate-*l/`
398×	`add-sqr-sqrt`
388×	`*-un-lft-identity`
384×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	385	55
2	4892	55

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(-.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

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

simplify303.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-+l+`
1050×	`+-commutative`
1002×	`associate-+r+`
804×	`associate-*r/`
680×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	20439
1	1224	18545
2	5107	17993

Stop Event

1×	node limit

Counts

143 → 227

Calls

Call 1

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

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

localize210.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.4b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 485 to 266 computations (45.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite126.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`associate-*r/`
1388×	`associate-*l/`
388×	`associate-+l+`
380×	`associate-/r*`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	307	40
2	3972	40

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-/l*`
1212×	`associate-+r+`
1040×	`associate-+l+`
1040×	`associate-/r*`
606×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	9323
1	869	8805
2	3540	8787

Stop Event

1×	node limit

Counts

159 → 226

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4)) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1))) (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4)) (cbrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) 1) (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) (-.f64 1 (.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1)) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (+.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) -1))) 1) (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1) 3)) 1) (+.f64 1 (-.f64 (.f64 (+.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) -1)) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1)) 1) (neg.f64 (+.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (.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)))) 1) 2)
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1)) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)) 1) (/.f64 1 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) 3) 1) (/.f64 1 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (+.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)) (+.f64 1 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) 1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))))) (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))))) (+.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) (+.f64 1 (.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) 1) (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) (.f64 (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (cbrt.f64 (+.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))
(pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/3)
(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)))
(fma.f64 1 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) -1)
(fma.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) -1)

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

localize263.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.4b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.0b	(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))

Compiler

Compiled 481 to 254 computations (47.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	lambda1	@	inf	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms	lambda1	@	0	(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))
0.0ms	lambda2	@	0	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms	lambda2	@	0	(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))
0.0ms	lambda1	@	0	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`*-commutative`
682×	`unswap-sqr`
544×	`associate-*r/`
526×	`swap-sqr`
452×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	218	34
2	2560	34

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))))) (#(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 0 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1)))) (#(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 *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 1))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(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 sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (#(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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1))))) (#(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 0 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1)))) (#(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 *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (-.f64 0 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 1))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

184×	`associate-r`
138×	`fma-def`
126×	`associate-l`
118×	`*-commutative`
98×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	4107
1	372	4107
2	1500	4107

Stop Event

1×

unsound

Counts

127 → 64

Calls

Call 1

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

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

localize284.0ms (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)
✓	0.6b	(-.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)))))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 618 to 373 computations (39.6% saved)

series24.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`add-sqr-sqrt`
766×	`*-un-lft-identity`
764×	`pow1`
720×	`add-exp-log`
720×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	739	135

Stop Event

1×	node limit

Counts

1 → 22

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)) (-.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 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 -1 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 1/2 lambda2)))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cbrt.f64 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simplify205.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-+r+`
930×	`+-commutative`
820×	`distribute-lft-neg-in`
768×	`distribute-rgt-neg-in`
764×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	11250
1	985	11138
2	3617	11038

Stop Event

1×	node limit

Counts

70 → 98

Calls

Call 1

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

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

eval4.1s (4.5%)

Compiler: Compiled 192249 to 121297 computations (36.9% saved)

prune2.5s (2.8%)

Pruning

146 alts after pruning (146 fresh and 0 done)

	Pruned	Kept	Total
New	2122	101	2223
Fresh	48	45	93
Picked	1	0	1
Done	4	0	4
Total	2175	146	2321

Error

12.2b

Counts

2321 → 146

Alt Table

Click to see full alt table

Status	Error	Program
	44.4b	(.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))
	46.6b	(.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))
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	32.1b	(.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 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	37.7b	(.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 (+.f64 (.f64 (.f64 1/2 phi1) (cos.f64 (.f64 -1/2 phi2))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi1 phi1)) 1) (sin.f64 (.f64 -1/2 phi2)))) 2)))) (*.f64 R 2))
	41.9b	(.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))
	32.1b	(.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 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (.f64 R 2))
	40.0b	(.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 (fma.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 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (fabs.f64 (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))
	31.3b	(.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 (+.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))))))
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	31.4b	(.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)))))))
	23.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (.f64 (.f64 (.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)))))))))
	30.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (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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	31.9b	(.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)))))))))
	31.1b	(.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 (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)))))))))
	35.2b	(.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 (-.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 (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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	13.1b	(.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 (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)))))))))
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▶	13.1b	(.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 (-.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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	31.1b	(.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 -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)))))))))
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▶	32.6b	(.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)))))))))
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	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (-.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)))))))))))
	43.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (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)))) 2)))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 2)))))))
	42.8b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) 2)))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (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 (-.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)))) 2)))))))
	41.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2))) 2)))))))
	43.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))) 2)))))))
	37.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)))))))
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	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))))))
	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))))))
	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 3)) 2)))))))
	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))))
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	23.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 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)))))))))
	23.6b	(.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 (/.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)))))))))
	23.6b	(.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 1/2 (.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)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.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)))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (fabs.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))) (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)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	43.3b	(.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)))))))
	35.8b	(.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))) (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)))))))))
	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.8b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	32.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (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)))))))
	31.3b	(.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)))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (sin.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (sin.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)))) (.f64 (.f64 (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)))))))))
	25.2b	(.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)))))))))
	25.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) (+.f64 2 (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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (/.f64 (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 4))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 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)))))))))
	26.0b	(.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)) (-.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)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.2b	(.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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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)))))))))
	36.7b	(.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 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)))))))))
	37.5b	(.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))) (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)))))))))
	36.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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)))))))))
	25.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 1 (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)))))))))
	25.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) -1) 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)))))))))
	33.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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 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 (.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)))))))))
	35.0b	(.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 (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)))))))))
	24.6b	(.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 22002 to 15746 computations (28.4% saved)

localize910.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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)
✓	0.7b	(-.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))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 608 to 399 computations (34.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`add-sqr-sqrt`
566×	`*-un-lft-identity`
564×	`pow1`
536×	`add-exp-log`
536×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	94
1	553	52
2	7465	52

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

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

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

simplify133.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate--l+`
1068×	`associate--r+`
970×	`*-commutative`
512×	`unswap-sqr`
472×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	5148
1	772	4992
2	2640	4840
3	6794	4840

Stop Event

1×	node limit

Counts

104 → 125

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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (sin.f64 (*.f64 -1/2 lambda2)) 2)
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (pow.f64 lambda1 3)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 lambda2 3)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 1 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 1))
(+.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 1)
(+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 1) 1)
(.f64 1 (-.f64 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)) 1)
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 2)) (cbrt.f64 (-.f64 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))) 4)) (/.f64 1 (+.f64 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))) 6)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 1 (/.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))) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) (+.f64 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))) 6)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (-.f64 1 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (-.f64 1 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (neg.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) 1/2)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 1)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2))) 2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) 3)) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (-.f64 lambda1 lambda2)))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))

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

localize126.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 318 to 172 computations (45.9% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`*-commutative`
878×	`associate-*r/`
656×	`associate-*l/`
574×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	275	29
2	3351	29

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1714×	`associate-/l*`
986×	`associate-/r*`
714×	`associate-+l+`
676×	`associate-*r/`
656×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	6656
1	819	6294
2	3177	6288

Stop Event

1×	node limit

Counts

84 → 148

Calls

Call 1

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

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

localize160.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 436 to 233 computations (46.6% saved)

series26.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	phi1	@	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 -1/2 lambda2)))))
2.0ms	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 -1/2 lambda2)))))
1.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 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))) (sin.f64 (.f64 -1/2 lambda2)))))
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 -1/2 lambda2)))))

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`add-sqr-sqrt`
588×	`*-un-lft-identity`
586×	`pow1`
558×	`add-exp-log`
558×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	87
1	578	83
2	7878	83

Stop Event

1×	node limit

Counts

1 → 47

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 -1/2 lambda2)))))

Outputs

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

simplify121.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-+l+`
1090×	`distribute-lft-in`
928×	`associate-+r+`
828×	`+-commutative`
654×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	10967
1	1018	10811
2	3540	10805

Stop Event

1×	node limit

Counts

95 → 131

Calls

Call 1

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

Outputs
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (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))))) 1) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)) 1) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (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 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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)) 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 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 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 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (+.f64 (.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 (.f64 (.f64 -1/2 (sin.f64 (.f64 -1/2 lambda2))) (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (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 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 phi2)) phi1)) 1) (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3)) (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 (sin.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) 1) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 -1/2 (sin.f64 (.f64 -1/2 lambda2))) (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.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)))))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1))))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
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(-.f64 (fma.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1)) 1) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
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(-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
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(-.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)) (+.f64 1 (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 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1))) (.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))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)))))
(fma.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6))) (pow.f64 phi2 3) (+.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))))))
(-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6)) (pow.f64 phi2 3)) (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
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(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(-.f64 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) 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 (fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) 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 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) 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 (fma.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)))) (+.f64 1 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))))) (+.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 1/8 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) 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 (fma.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 lambda1 (cos.f64 phi1))))) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda2)))) 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 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))))))) (+.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 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1)))) (+.f64 1 (fma.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (.f64 1/48 (.f64 (.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 (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 (.f64 1/8 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 lambda1))) 1) (-.f64 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1))))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)) (cos.f64 (.f64 -1/2 lambda2)))) 1/48))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
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(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.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 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
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(-.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(+.f64 1 (-.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (.f64 lambda2 (cos.f64 phi2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(+.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) 1) (-.f64 (.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda1)))) -1/4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 -1 (.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)))))) (pow.f64 lambda2 3))) (+.f64 1 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 -1 (.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1/12) (pow.f64 lambda2 3)) (+.f64 1 (fma.f64 -1/4 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/2 (.f64 (.f64 lambda2 (cos.f64 phi2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1))))))) (fma.f64 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) 1/12))) (pow.f64 lambda2 3) 1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 (fma.f64 1/2 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (.f64 lambda2 lambda2) (.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda1)))) -1/4))) (-.f64 (-.f64 1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/12 (pow.f64 lambda2 3)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(exp.f64 (.f64 (log1p.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 lambda2 -1/2))) (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 (sin.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(exp.f64 (log1p.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(exp.f64 (log1p.f64 (neg.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 (-.f64 phi2 phi1))) 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))
(-.f64 1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (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 (-.f64 phi2 phi1))) 2)))

localize597.0ms (0.7%)

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)))))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	14.5b	(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)))))

Compiler

Compiled 513 to 297 computations (42.1% saved)

series17.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`add-sqr-sqrt`
590×	`*-un-lft-identity`
588×	`pow1`
558×	`add-exp-log`
558×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	585	81
2	7748	81

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs

(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)))))

Outputs

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

simplify129.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`distribute-lft-in`
1342×	`distribute-rgt-in`
912×	`associate-/l*`
758×	`associate-r`
692×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	12575
1	987	12045
2	3761	12041

Stop Event

1×	node limit

Counts

75 → 118

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 -1/4 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (.f64 -1/4 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi2 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) phi2)) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))
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(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2)))
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(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))))
(.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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) (cbrt.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
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(.f64 (pow.f64 1 1/2) (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
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(pow.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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)
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(pow.f64 (pow.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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))
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(hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))))
(exp.f64 (log.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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
(sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 -1/4 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 -1/4 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 -1/4 (.f64 phi2 (.f64 phi1 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (.f64 -1/4 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi2 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) phi2)) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))))
(+.f64 (fma.f64 -1/4 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (.f64 1/2 (.f64 (+.f64 1/4 (-.f64 (fma.f64 -1/16 (.f64 phi2 phi2) (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (.f64 phi1 phi1))) (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(fma.f64 -1/4 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 phi1 (.f64 phi1 (+.f64 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2))) (-.f64 1/4 (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(fma.f64 -1/4 (.f64 phi2 (.f64 phi1 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (fma.f64 (.f64 (.f64 1/2 (.f64 phi1 phi1)) (-.f64 (+.f64 1/4 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2)))) (pow.f64 (.f64 phi2 (.f64 -1/4 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (.f64 1/16 phi2) (.f64 1/48 phi2)) (.f64 -1/4 (/.f64 (.f64 (-.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi2 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) phi2)) 2)) phi2) (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 phi2 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) phi2)) 2)) (pow.f64 phi1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 phi2 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))))
(+.f64 (fma.f64 -1/4 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (pow.f64 phi1 3) (+.f64 (.f64 phi2 1/12) (.f64 1/4 (/.f64 (+.f64 1/4 (-.f64 (fma.f64 -1/16 (.f64 phi2 phi2) (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (/.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) phi2)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (+.f64 1/4 (-.f64 (fma.f64 -1/16 (.f64 phi2 phi2) (.f64 (.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (*.f64 phi1 phi1))))))
(fma.f64 -1/4 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (+.f64 (.f64 (pow.f64 phi1 3) (fma.f64 phi2 1/12 (.f64 1/4 (.f64 (/.f64 (+.f64 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2))) (-.f64 1/4 (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))) (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) phi2)))) (.f64 phi1 (.f64 phi1 (+.f64 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2))) (-.f64 1/4 (pow.f64 (.f64 -1/4 (.f64 phi2 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(fma.f64 -1/4 (.f64 phi2 (.f64 phi1 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (+.f64 (.f64 phi1 (.f64 phi1 (-.f64 (+.f64 1/4 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2)))) (pow.f64 (.f64 phi2 (.f64 -1/4 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)))) (.f64 (pow.f64 phi1 3) (fma.f64 phi2 1/12 (/.f64 1/4 (/.f64 (/.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) phi2) (-.f64 (+.f64 1/4 (fma.f64 (.f64 phi2 phi2) -1/16 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) -1/2)))) (pow.f64 (.f64 phi2 (.f64 -1/4 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) 2)))))))) (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (+.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)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.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 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (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)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (sqrt.f64 (+.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 (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))) 2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))) 2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 4) (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 3/2) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 3)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 4) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))
(pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))) 2)) 1/2)
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(pow.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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)))) (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))
(exp.f64 (log.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) 1/2))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1))) 2)))
(exp.f64 (.f64 (log.f64 (hypot.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (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 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (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 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))

localize428.0ms (0.5%)

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)
	0.7b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 577 to 358 computations (38% saved)

eval4.8s (5.2%)

Compiler: Compiled 239944 to 155654 computations (35.1% saved)

prune3.8s (4.2%)

Pruning

194 alts after pruning (194 fresh and 0 done)

	Pruned	Kept	Total
New	2511	128	2639
Fresh	75	66	141
Picked	1	0	1
Done	4	0	4
Total	2591	194	2785

Error

12.0b

Counts

2785 → 194

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(.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))
	37.7b	(.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 (+.f64 (.f64 (.f64 1/2 phi1) (cos.f64 (.f64 -1/2 phi2))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi1 phi1)) 1) (sin.f64 (.f64 -1/2 phi2)))) 2)))) (*.f64 R 2))
	41.9b	(.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))
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	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (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)))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (sin.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (sin.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)))) (.f64 (.f64 (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)))))))))
	25.2b	(.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)))))))))
	33.1b	(.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 -1/2 lambda2)))))))))
	25.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) (+.f64 2 (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 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (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 (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 1/2 lambda1)))))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (/.f64 (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 4))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 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)))))))))
	36.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 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)))))))))
	25.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 1 (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)))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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)))))))))
	33.2b	(.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 -1/2 lambda2)))))))))
	33.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.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)))) (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 (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 1/2 lambda1)))))))))
	34.8b	(.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 (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)))))))))
	41.6b	(.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 (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 1/2 lambda1)))))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 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)))))))))
	43.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (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 (-.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)))))))))

Compiler

Compiled 28946 to 21120 computations (27% saved)

localize306.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.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))
✓	2.4b	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 805 to 498 computations (38.1% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	0	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
1.0ms	lambda2	@	0	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
1.0ms	lambda1	@	-inf	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
1.0ms	lambda2	@	-inf	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))
1.0ms	lambda1	@	inf	(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`associate-*r/`
932×	`distribute-rgt-in`
892×	`distribute-lft-in`
754×	`associate-*l/`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	293	36
2	3654	36

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

Inputs
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))

Outputs

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

simplify126.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-+r+`
1028×	`associate-+l+`
916×	`+-commutative`
872×	`associate-*r/`
768×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	418	9120
1	1274	8368
2	5328	8368

Stop Event

1×	node limit

Counts

146 → 215

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3))))
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/2 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))))
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/2 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 (neg.f64 lambda2))) (.f64 1/3 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))))) (pow.f64 lambda1 3))) (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3))))))
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3)))
(+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 lambda2 (+.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)) (.f64 2 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)))))) (.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3))))
(+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 lambda2 (+.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)) (.f64 2 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)))))) (+.f64 (.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda1) 2)) (pow.f64 (sin.f64 lambda1) 2)) (cos.f64 lambda1)))))))))
(+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 lambda2 (+.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)) (.f64 2 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)))))) (+.f64 (.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 lambda1) 2)) (pow.f64 (sin.f64 lambda1) 2)) (cos.f64 lambda1)))))) (.f64 -1/8 (.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 lambda1) (cos.f64 lambda1))) (.f64 -1/3 (.f64 (sin.f64 lambda1) (cos.f64 lambda1)))) (cos.f64 lambda1)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 lambda1) 2)) (pow.f64 (sin.f64 lambda1) 2)) (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2))) (.f64 -1 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2))))))))))))
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 3)))
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (+.f64 (.f64 -1 lambda2) lambda1)) 3)))
(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
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(/.f64 (.f64 (-.f64 1/262144 (pow.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) 3)) (/.f64 1 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (+.f64 1/4096 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64)) (.f64 1/64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64)))))
(/.f64 (.f64 (-.f64 1/262144 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512) (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512))) (/.f64 1 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (-.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)))
(/.f64 (.f64 (+.f64 1/134217728 (pow.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512) 3)) (/.f64 1 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (+.f64 1/262144 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512) (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)) (.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)))))
(/.f64 (/.f64 (-.f64 1/64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64)) 1) (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))
(/.f64 (/.f64 (-.f64 1/64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64)) (sqrt.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (sqrt.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (/.f64 (-.f64 1/64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64)) (.f64 (cbrt.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))) (cbrt.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (cbrt.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (/.f64 (+.f64 1/512 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)) 1) (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (*.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (/.f64 (+.f64 1/512 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)) (sqrt.f64 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))) (sqrt.f64 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (*.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
(/.f64 (/.f64 (+.f64 1/512 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)) (.f64 (cbrt.f64 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (cbrt.f64 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))) (cbrt.f64 (+.f64 1/64 (-.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) 1/64) (.f64 -1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(fma.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) -1/8 1/8)
(fma.f64 1 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3/2) (sqrt.f64 -1/8)) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3/2) (sqrt.f64 -1/8)) 1/8)
(fma.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cbrt.f64 -1/8)) 2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cbrt.f64 -1/8)) 1/8)

Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(+.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))
(+.f64 (-.f64 (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2)) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 lambda2 lambda2))) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda1 lambda2))
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3) 1/8)
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3))))
(fma.f64 -1/8 (.f64 lambda1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) -3)) (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3))))
(fma.f64 -1/8 (.f64 lambda1 (.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (neg.f64 (sin.f64 lambda2)) -3))) (fma.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3) 1/8))
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/2 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))))
(fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (fma.f64 (fma.f64 -1 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (neg.f64 (sin.f64 lambda2)) 2)) (cos.f64 lambda2) (fma.f64 2 (.f64 (cos.f64 lambda2) (pow.f64 (neg.f64 (sin.f64 lambda2)) 2)) (.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))))) (fma.f64 -1/8 (.f64 lambda1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) -3)) (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3)))))
(fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3)) (.f64 (cos.f64 lambda2) (+.f64 (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) (.f64 2 (.f64 (sin.f64 lambda2) (sin.f64 lambda2)))))))) (fma.f64 -1/8 (.f64 lambda1 (.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (neg.f64 (sin.f64 lambda2)) -3))) (fma.f64 -1/8 (pow.f64 (cos.f64 lambda2) 3) 1/8)))
(+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 (neg.f64 lambda2)))) (.f64 -1/2 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3)))) (pow.f64 lambda1 2))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 -2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)))) lambda1)) (+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 (neg.f64 lambda2))) (.f64 1/3 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 (neg.f64 lambda2)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (neg.f64 lambda2)) 2)) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 (cos.f64 (neg.f64 lambda2)) 2))))) (pow.f64 lambda1 3))) (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 lambda2)) 3))))))
(fma.f64 -1/8 (.f64 (.f64 lambda1 lambda1) (fma.f64 (fma.f64 -1 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (neg.f64 (sin.f64 lambda2)) 2)) (cos.f64 lambda2) (fma.f64 2 (.f64 (cos.f64 lambda2) (pow.f64 (neg.f64 (sin.f64 lambda2)) 2)) (.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))))) (fma.f64 -1/8 (.f64 lambda1 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) -3)) (+.f64 1/8 (.f64 -1/8 (+.f64 (.f64 (pow.f64 lambda1 3) (fma.f64 (cos.f64 lambda2) (.f64 4/3 (.f64 (cos.f64 lambda2) (neg.f64 (sin.f64 lambda2)))) (fma.f64 -1 (.f64 (neg.f64 (sin.f64 lambda2)) (fma.f64 -1 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (neg.f64 (sin.f64 lambda2)) 2))) (.f64 7/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)))))) (pow.f64 (cos.f64 lambda2) 3))))))
(fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3)) (.f64 (cos.f64 lambda2) (+.f64 (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) (.f64 2 (.f64 (sin.f64 lambda2) (sin.f64 lambda2)))))))) (fma.f64 -1/8 (.f64 lambda1 (.f64 (pow.f64 (cos.f64 lambda2) 2) (.f64 (neg.f64 (sin.f64 lambda2)) -3))) (fma.f64 -1/8 (fma.f64 (pow.f64 lambda1 3) (fma.f64 (cos.f64 lambda2) (.f64 (.f64 4/3 (neg.f64 (sin.f64 lambda2))) (cos.f64 lambda2)) (fma.f64 (neg.f64 (neg.f64 (sin.f64 lambda2))) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2)) (.f64 (*.f64 7/6 (neg.f64 (sin.f64 lambda2))) (pow.f64 (cos.f64 lambda2) 2)))) (pow.f64 (cos.f64 lambda2) 3)) 1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda1) lambda2))) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3)))
(fma.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3) 1/8)
(+.f64 1/8 (+.f64 (.f64 -1/8 (.f64 lambda2 (+.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)) (.f64 2 (.f64 (sin.f64 lambda1) (pow.f64 (cos.f64 lambda1) 2)))))) (.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3))))
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(/.f64 (+.f64 1/512 (.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512)) (+.f64 1/64 (+.f64 (.f64 1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6)) (*.f64 1/64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512 1/512) (+.f64 1/64 (*.f64 1/64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 3) -1/512 1/512) (+.f64 1/64 (*.f64 1/64 (+.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 6)))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 1)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 2)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 3)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 3) 1/3)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 2))
(fabs.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8))))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8) 3))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) 1))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)))
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(fma.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) -1/8 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(fma.f64 1 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)
(fma.f64 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3/2) (sqrt.f64 -1/8)) (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3/2) (sqrt.f64 -1/8)) 1/8)
(+.f64 1/8 (.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) (.f64 (sqrt.f64 -1/8) (sqrt.f64 -1/8))))
(fma.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cbrt.f64 -1/8)) 2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cbrt.f64 -1/8)) 1/8)
(+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cbrt.f64 -1/8)) 3))

localize124.0ms (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)))))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 326 to 181 computations (44.5% saved)

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 361 to 212 computations (41.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite136.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`distribute-rgt-in`
594×	`distribute-lft-in`
506×	`associate-*r/`
434×	`associate-*l/`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	355	49
2	4239	49

Stop Event

1×	node limit

Counts

1 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) (fma.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) 1 (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) (fma.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (neg.f64 (sqrt.f64 (cos.f64 phi2)))) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (sqrt.f64 (cos.f64 phi2))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 phi2 -1))) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (-.f64 (*.f64 1/2 (cos.f64 (*.f64 phi2 -1))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (+.f64 (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (+.f64 (fma.f64 (neg.f64 (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (+.f64 (fma.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))) (neg.f64 (cos.f64 phi2))) 1 (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (+.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (neg.f64 (sqrt.f64 (cos.f64 phi2)))) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (sqrt.f64 (cos.f64 phi2))) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))) (cos.f64 phi2) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 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simplify225.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-+r+`
1504×	`associate-*r/`
1068×	`+-commutative`
792×	`fma-def`
538×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	20199
1	1144	18537
2	5427	18057

Stop Event

1×	node limit

Counts

157 → 232

Calls

Call 1

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

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

localize614.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.4b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 528 to 328 computations (37.9% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite481.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

984×	`associate-r`
944×	`*-commutative`
760×	`associate-l`
582×	`distribute-lft-in`
562×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	922
1	210	838
2	711	806
3	2976	798
4	6254	798

Stop Event

1×	node limit

Counts

34 → 48

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 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) 1)
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))

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

localize262.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	3.4b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 602 to 374 computations (37.9% saved)

eval4.0s (4.4%)

Compiler: Compiled 164652 to 107221 computations (34.9% saved)

prune2.3s (2.5%)

Pruning

220 alts after pruning (220 fresh and 0 done)

	Pruned	Kept	Total
New	1858	54	1912
Fresh	23	166	189
Picked	1	0	1
Done	4	0	4
Total	1886	220	2106

Error

11.8b

Counts

2106 → 220

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(.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))
	41.9b	(.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))
	40.0b	(.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 (fma.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 R 2))
	55.7b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 -1 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	42.9b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2)))) (+.f64 (.f64 1/2 (.f64 lambda2 (.f64 lambda2 (-.f64 (.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))))) (pow.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (fma.f64 -1/2 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) 2))))) -1/2)) 2))))) (.f64 -1/2 (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 1/2 lambda1))) (cos.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)))))))))
	55.0b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	58.5b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 1/2 (cos.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)))))))))
	57.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
	57.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
	58.7b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
	59.1b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
	58.5b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
	58.7b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
	57.6b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
	57.5b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
	57.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
	57.6b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
	57.4b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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))))))))
	57.7b	(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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)))))))))
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	43.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (exp.f64 (.f64 2 (log.f64 (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 (-.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)))))))))
	38.9b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))))))

Compiler

Compiled 16359 to 12000 computations (26.6% saved)

regimes5.7s (6.2%)

Counts

385 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

1.3s	lambda2
448.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
389.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
386.0ms	(-.f64 lambda1 lambda2)
345.0ms	(+.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
12.9b	1	`R`
12.9b	1	`lambda1`
12.9b	1	`lambda2`
12.9b	1	`phi1`
12.9b	1	`phi2`
12.9b	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)))))))))`
12.9b	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))))))))`
12.9b	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)))))))`
12.9b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
12.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
12.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
12.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 27350 to 17232 computations (37% saved)

regimes3.3s (3.7%)

Counts

372 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (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 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (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 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))))
(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 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 phi2 (.f64 -1/2 (cos.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 (.f64 -1 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 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 (pow.f64 (cos.f64 (.f64 1/2 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 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (pow.f64 (sin.f64 (.f64 -1/2 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 (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 1/8 (.f64 -1/8 (pow.f64 (cos.f64 lambda1) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (cos.f64 lambda2) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.f64 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 (neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (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 (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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (fabs.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.f64 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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (+.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (fma.f64 2 (fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (neg.f64 (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
(.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 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))) 7/8) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (+.f64 (-.f64 (cos.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) -1/2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 -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 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 (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 (-.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 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))

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 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))

Calls

12 calls:

218.0ms	(-.f64 lambda1 lambda2)
215.0ms	(.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))))))))
213.0ms	lambda1
212.0ms	(+.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))))
211.0ms	R

Results

Error	Segments	Branch
13.1b	1	`R`
13.1b	1	`lambda1`
13.1b	1	`lambda2`
13.1b	1	`phi1`
13.1b	1	`phi2`
13.1b	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)))))))))`
13.1b	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))))))))`
13.1b	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)))))))`
13.1b	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))))`
13.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 25548 to 16017 computations (37.3% saved)

regimes4.0s (4.3%)

Counts

358 → 1

Calls

Call 1

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

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

Calls

12 calls:

323.0ms	R
280.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
280.0ms	phi2
271.0ms	(-.f64 lambda1 lambda2)
264.0ms	lambda2

Results

Error	Segments	Branch
13.1b	1	`R`
13.1b	1	`lambda1`
13.1b	1	`lambda2`
13.1b	1	`phi1`
13.1b	1	`phi2`
13.1b	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)))))))))`
13.1b	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))))))))`
13.1b	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)))))))`
13.1b	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))))`
13.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 24091 to 15094 computations (37.3% saved)

regimes4.1s (4.5%)

Counts

340 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (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 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (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 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 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 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))) (.f64 (.f64 (.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 (-.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 (.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 (-.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 (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))) (+.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))))))) (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 (-.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 (.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)))) (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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (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)))))))))
(.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)) (log.f64 (exp.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (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 (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)) (expm1.f64 (log.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 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 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))

Calls

12 calls:

339.0ms	lambda1
329.0ms	R
312.0ms	(+.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))))
275.0ms	(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)))))))
254.0ms	phi2

Results

Error	Segments	Branch
13.1b	1	`R`
13.1b	1	`lambda1`
13.1b	1	`lambda2`
13.1b	1	`phi1`
13.1b	1	`phi2`
13.1b	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)))))))))`
13.1b	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))))))))`
13.1b	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)))))))`
13.1b	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))))`
13.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 22399 to 13959 computations (37.7% saved)

regimes3.4s (3.8%)

Counts

317 → 1

Calls

Call 1

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

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 1/2 (*.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:

209.0ms	(+.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))))
197.0ms	(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)))))))
196.0ms	(.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)))))))))
195.0ms	(.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))))))))
192.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
22.9b	1	`R`
22.9b	1	`lambda1`
22.9b	1	`lambda2`
22.9b	1	`phi1`
22.9b	1	`phi2`
22.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.9b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.9b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
22.9b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20341 to 12621 computations (38% saved)

regimes2.3s (2.5%)

Counts

230 → 1

Calls

Call 1

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

Calls

12 calls:

222.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
183.0ms	(.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))))))))
175.0ms	(+.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))))
148.0ms	(-.f64 lambda1 lambda2)
144.0ms	(.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)))))))))

Results

Error	Segments	Branch
23.5b	1	`R`
23.5b	1	`lambda1`
23.5b	1	`lambda2`
23.5b	1	`phi1`
23.5b	1	`phi2`
23.5b	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)))))))))`
23.5b	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))))))))`
23.5b	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)))))))`
23.5b	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))))`
23.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 13709 to 8467 computations (38.2% saved)

regimes1.0s (1.1%)

Counts

136 → 1

Calls

Call 1

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

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:

80.0ms	(-.f64 lambda1 lambda2)
76.0ms	(.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))))))))
72.0ms	(.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)))))))))
67.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
65.0ms	lambda1

Results

Error	Segments	Branch
23.6b	1	`R`
23.6b	1	`lambda1`
23.6b	1	`lambda2`
23.6b	1	`phi1`
23.6b	1	`phi2`
23.6b	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)))))))))`
23.6b	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))))))))`
23.6b	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)))))))`
23.6b	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))))`
23.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 7550 to 4720 computations (37.5% saved)

regimes1.3s (1.5%)

Counts

91 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (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 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 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.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 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.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:

223.0ms	(-.f64 lambda1 lambda2)
196.0ms	phi1
195.0ms	lambda1
157.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
136.0ms	phi2

Results

Error	Segments	Branch
25.2b	1	`R`
23.6b	3	`lambda1`
25.2b	1	`lambda2`
23.4b	3	`phi1`
23.4b	3	`phi2`
23.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4569 to 2911 computations (36.3% saved)

bsearch538.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
279.0ms	1.2474600413999362e-13	8.681138210819213e-5
258.0ms	-368.52111984112594	-0.030117126670427558

Results

337.0ms	139×	body	1024	valid
98.0ms	14×	body	2048	valid
50.0ms	42×	body	512	valid
43.0ms	77×	body	256	valid

Compiler

Compiled 2068 to 1541 computations (25.5% saved)

regimes663.0ms (0.7%)

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

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

109.0ms	(-.f64 lambda1 lambda2)
106.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
101.0ms	phi1
95.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
39.0ms	R

Results

Error	Segments	Branch
31.3b	1	`R`
31.3b	1	`lambda1`
31.3b	1	`lambda2`
28.5b	3	`phi1`
31.3b	1	`phi2`
28.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
28.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
28.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3699 to 2375 computations (35.8% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-2.509590531680865e-22	-4.306923023930391e-25

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes617.0ms (0.7%)

Counts

75 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

97.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
96.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
96.0ms	(-.f64 lambda1 lambda2)
87.0ms	phi1
41.0ms	R

Results

Error	Segments	Branch
31.3b	1	`R`
31.3b	1	`lambda1`
31.3b	1	`lambda2`
28.5b	3	`phi1`
31.3b	1	`phi2`
28.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
28.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
28.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3646 to 2343 computations (35.7% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-2.509590531680865e-22	-4.306923023930391e-25

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes474.0ms (0.5%)

Counts

60 → 3

Calls

Call 1

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

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

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

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

Calls

8 calls:

75.0ms	phi1
73.0ms	(-.f64 lambda1 lambda2)
72.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
72.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
27.0ms	lambda1

Results

Error	Segments	Branch
31.3b	1	`R`
31.3b	1	`lambda1`
31.3b	1	`lambda2`
28.5b	3	`phi1`
31.3b	1	`phi2`
28.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
28.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
28.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2845 to 1833 computations (35.6% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-2.509590531680865e-22	-4.306923023930391e-25

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes660.0ms (0.7%)

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

110.0ms	lambda1
94.0ms	phi2
74.0ms	phi1
71.0ms	(-.f64 lambda1 lambda2)
70.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
37.9b	1	`R`
34.1b	5	`lambda1`
33.8b	3	`lambda2`
35.1b	3	`phi1`
33.7b	3	`phi2`
33.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2680 to 1726 computations (35.6% saved)

bsearch4.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.6100636737039272	-0.5939481703759212

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes638.0ms (0.7%)

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

109.0ms	lambda1
89.0ms	phi2
68.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
68.0ms	(-.f64 lambda1 lambda2)
67.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
37.9b	1	`R`
34.1b	5	`lambda1`
33.8b	3	`lambda2`
35.1b	3	`phi1`
33.7b	3	`phi2`
33.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2627 to 1695 computations (35.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.6100636737039272	-0.5939481703759212

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes560.0ms (0.6%)

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

99.0ms	lambda1
78.0ms	phi2
62.0ms	lambda2
61.0ms	phi1
60.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
37.9b	1	`R`
34.1b	5	`lambda1`
33.8b	3	`lambda2`
35.1b	3	`phi1`
33.7b	3	`phi2`
33.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2282 to 1479 computations (35.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.6100636737039272	-0.5939481703759212

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes467.0ms (0.5%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

79.0ms	lambda1
50.0ms	R
49.0ms	phi1
49.0ms	lambda2
49.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
38.5b	2	`R`
36.3b	5	`lambda1`
35.8b	3	`lambda2`
36.2b	3	`phi1`
35.8b	3	`phi2`
33.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1837 to 1199 computations (34.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.19222677636029958	-0.18695100654244245

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes424.0ms (0.5%)

Counts

35 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

71.0ms	lambda1
48.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
48.0ms	(-.f64 lambda1 lambda2)
45.0ms	lambda2
43.0ms	R

Results

Error	Segments	Branch
38.5b	2	`R`
36.3b	5	`lambda1`
35.8b	3	`lambda2`
36.2b	3	`phi1`
35.8b	3	`phi2`
33.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1580 to 1032 computations (34.7% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.19222677636029958	-0.18695100654244245

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes393.0ms (0.4%)

Counts

33 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

66.0ms	lambda1
42.0ms	phi2
42.0ms	phi1
42.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
38.5b	2	`R`
36.4b	5	`lambda1`
35.8b	3	`lambda2`
36.2b	3	`phi1`
35.8b	3	`phi2`
33.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1484 to 972 computations (34.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
0.0ms	-0.19222677636029958	-0.18695100654244245

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes465.0ms (0.5%)

Counts

31 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

119.0ms	lambda1
67.0ms	R
45.0ms	phi1
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
38.5b	2	`R`
36.4b	5	`lambda1`
35.8b	3	`lambda2`
36.2b	3	`phi1`
35.8b	3	`phi2`
33.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
33.3b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
33.3b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1391 to 915 computations (34.2% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007471600287935703	0.03587843103563289
1.0ms	-0.19222677636029958	-0.18695100654244245

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes292.0ms (0.3%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

41.0ms	lambda2
39.0ms	lambda1
38.0ms	(-.f64 lambda1 lambda2)
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	phi2

Results

Error	Segments	Branch
39.9b	1	`R`
38.6b	3	`lambda1`
38.5b	3	`lambda2`
39.9b	1	`phi1`
36.1b	3	`phi2`
36.1b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
36.1b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
36.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1297 to 857 computations (33.9% saved)

bsearch378.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
165.0ms	0.00046025851399480837	0.027228133239495696
212.0ms	-368.52111984112594	-0.030117126670427558

Results

239.0ms	126×	body	1024	valid
51.0ms	16×	body	2048	valid
48.0ms	43×	body	512	valid
29.0ms	55×	body	256	valid

Compiler

Compiled 1608 to 1238 computations (23% saved)

regimes112.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

Calls

8 calls:

13.0ms	(-.f64 lambda1 lambda2)
11.0ms	phi1
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	phi2
10.0ms	lambda1

Results

Error	Segments	Branch
39.9b	1	`R`
39.9b	1	`lambda1`
39.9b	1	`lambda2`
39.9b	1	`phi1`
39.9b	1	`phi2`
39.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
39.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
39.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 953 to 643 computations (32.5% saved)

regimes83.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Error	Segments	Branch
39.9b	1	`R`
39.9b	1	`lambda1`
39.9b	1	`lambda2`
39.9b	1	`phi1`
39.9b	1	`phi2`
39.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
39.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
39.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 671 to 464 computations (30.8% saved)

regimes92.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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)))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (*.f64 phi2 (*.f64 -1/2 (cos.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 (*.f64 phi2 (*.f64 1/2 (cos.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)))))))))

Calls

8 calls:

20.0ms	phi2
10.0ms	(-.f64 lambda1 lambda2)
9.0ms	lambda2
8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.0ms	R

Results

Error	Segments	Branch
57.4b	1	`R`
57.4b	1	`lambda1`
57.4b	1	`lambda2`
57.4b	1	`phi1`
56.0b	2	`phi2`
57.4b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
57.4b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
57.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 580 to 403 computations (30.5% saved)

bsearch261.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
261.0ms	1.778037499524331e-269	1.0571175350799418e-254

Results

167.0ms	86×	body	1024	valid
45.0ms	12×	body	2048	valid
23.0ms	23×	body	512	valid
21.0ms	39×	body	256	valid

Compiler

Compiled 958 to 743 computations (22.4% saved)

regimes69.0ms (0.1%)

Accuracy

Total -0.4b remaining (-0.7%)

Threshold costs -0.4b (-0.7%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (*.f64 phi2 (*.f64 -1/2 (cos.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)))))))

Calls

8 calls:

8.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	phi1
7.0ms	lambda1
6.0ms	R

Results

Error	Segments	Branch
57.4b	1	`R`
57.4b	1	`lambda1`
57.4b	1	`lambda2`
57.4b	1	`phi1`
57.4b	1	`phi2`
57.4b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
57.4b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
57.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 492 to 344 computations (30.1% saved)

simplify281.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

306×	`*-commutative`
192×	`+-commutative`
128×	`distribute-lft-neg-in`
100×	`neg-sub0`
88×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	4294975037
1	488	4294975017
2	598	4294975017
3	677	4294974985
4	763	4294974985
5	824	4294974985
6	853	4294974985
7	878	4294974985
8	904	4294974985
9	925	4294974985
10	934	4294974985
11	936	4294974985

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 (-.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 1/8 (.f64 -1/8 (pow.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.f64 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)) (log.f64 (exp.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))
(.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 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))
(.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 1/2 (.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 (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 (cos.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cos.f64 (.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 (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 phi2 -1098878309078401/36028797018963968) (.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))))))) (if (<=.f64 phi2 8500259669165361/1180591620717411303424) (.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 (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)))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4253529586511731/21267647932558653966460912964485513216) (.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 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4253529586511731/21267647932558653966460912964485513216) (.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 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2))) 1/2) (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 phi2)))))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -4253529586511731/21267647932558653966460912964485513216) (.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 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -5404319552844595/9007199254740992) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 1/4 (.f64 phi2 phi2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.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 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 3)) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -5404319552844595/9007199254740992) (.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.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 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 3)) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -5404319552844595/9007199254740992) (.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1)))) 3))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.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 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))) 3) 1/3))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))) 3))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.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 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))) 3))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.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 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.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 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.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 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi2 -1152921504606847/36028797018963968) (.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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (if (<=.f64 phi2 8762203435012037/4611686018427387904) (.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 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -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 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -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 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))
(if (<=.f64 phi2 5353260870520019/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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 (-.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 1/8 (.f64 -1/8 (pow.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
(.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 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 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 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 1/4 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2)))))))))))))
(.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 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))) (+.f64 1/4 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/4 (cos.f64 (-.f64 lambda1 lambda2))) 1/4))))))))))
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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 (-.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)) (log.f64 (exp.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))
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(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -3422735716801577/18014398509481984) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 5764607523034235/576460752303423488) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(if (<=.f64 phi2 -1152921504606847/36028797018963968) (.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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (if (<=.f64 phi2 8762203435012037/4611686018427387904) (.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 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -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 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))))))
(if (or (<=.f64 phi2 -1152921504606847/36028797018963968) (not (<=.f64 phi2 8762203435012037/4611686018427387904))) (.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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1)))))))))))
(if (or (<=.f64 phi2 -1152921504606847/36028797018963968) (not (<=.f64 phi2 8762203435012037/4611686018427387904))) (.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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))))))))))))
(if (or (<=.f64 phi2 -1152921504606847/36028797018963968) (not (<=.f64 phi2 8762203435012037/4611686018427387904))) (.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 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.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 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.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 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 phi2 5353260870520019/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 1/2 (cos.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))))))))))
(if (<=.f64 phi2 5353260870520019/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 1/2 (cos.f64 (.f64 phi1 1/2)))) (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 phi2 5353260870520019/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 lambda1 lambda2))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 1/2 (cos.f64 (.f64 phi1 1/2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 (.f64 phi2 (.f64 -1/2 (cos.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)))))))
(.f64 R (.f64 2 (atan2.f64 (.f64 phi2 (.f64 -1/2 (cos.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 lambda1 lambda2))) 2)))))))

Compiler

Compiled 2736 to 1851 computations (32.3% saved)

soundness315.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1362×	`distribute-lft-neg-in`
1198×	`associate--l+`
1068×	`associate--r+`
1026×	`distribute-lft-in`
970×	`*-commutative`

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	280	5148
1	772	4992
2	2640	4840
3	6794	4840

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 1377 to 882 computations (35.9% saved)

end1.6s (1.7%)

Compiler: Compiled 2626 to 1622 computations (38.2% saved)