Details

analyze2.5s (3.3%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample16.9s (22.1%)

Results

12.5s	5471×	body	1024	valid
2.1s	430×	body	2048	valid
1.7s	1259×	body	512	valid
673.0ms	1096×	body	256	valid
7.0ms	4×	body	1024	infinite

Bogosity

preprocess90.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary64`
515×	`sub-neg_binary64`
351×	`distribute-rgt-neg-in_binary64`
334×	`neg-mul-1_binary64`
313×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1101
1	393	1057
2	970	1057
3	2391	1057
4	4807	1057
5	7540	1025
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4
3

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

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 75 to 51 computations (32% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
562×	`fma-neg_binary64`
509×	`distribute-rgt-neg-in_binary64`
371×	`distribute-lft-neg-in_binary64`
321×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	99
2	127	99
3	292	99
4	710	99
5	1670	99
6	3222	99
7	4904	99
8	6354	99

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

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

eval6.0ms (0%)

Compiler: Compiled 450 to 264 computations (41.3% saved)

prune18.0ms (0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Error

23.9b

Counts

8 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (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 (-.f64 phi1 phi2) 2)) 2)))) (*.f64 R 2))
	24.5b	(.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 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
▶	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
▶	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.5b	(.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)))))))

Compiler

Compiled 824 to 546 computations (33.7% saved)

localize159.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	4.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
✓	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 381 to 205 computations (46.2% saved)

series34.0ms (0%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	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 (-.f64 phi1 phi2) 2)) 2))
3.0ms	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 (-.f64 phi1 phi2) 2)) 2))
3.0ms	phi1	@	inf	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
3.0ms	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 (-.f64 phi1 phi2) 2)) 2))
2.0ms	lambda2	@	inf	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`log1p-udef_binary64`
422×	`expm1-udef_binary64`
266×	`add-sqr-sqrt_binary64`
259×	`pow1_binary64`
258×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	72
1	510	64
2	7151	64

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-neg_binary64`
427×	`fma-def_binary64`
426×	`associate-r_binary64`
327×	`associate-l_binary64`
286×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	501	7212
1	1452	6980
2	5061	6954

Stop Event

1×	node limit

Counts

219 → 250

Calls

Call 1

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

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

localize296.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.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)))))
✓	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 406 to 215 computations (47% saved)

series20.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`log1p-udef_binary64`
262×	`add-sqr-sqrt_binary64`
257×	`pow1_binary64`
256×	`*-un-lft-identity_binary64`
244×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	493	63
2	7271	63

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Inputs

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

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

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

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

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simplify143.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

459×	`fma-def_binary64`
434×	`times-frac_binary64`
389×	`associate-r_binary64`
350×	`associate-l_binary64`
242×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	7804
1	1544	7329
2	6012	7210

Stop Event

1×	node limit

Counts

196 → 264

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

localize169.0ms (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 (-.f64 lambda1 lambda2) 2)))))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`expm1-udef_binary64`
434×	`log1p-udef_binary64`
251×	`add-sqr-sqrt_binary64`
246×	`pow1_binary64`
245×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	479	49
2	6796	49

Stop Event

1×	node limit

Counts

2 → 59

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)))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (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 (neg.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (neg.f64 (*.f64 (*.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 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 -1 (*.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 (-.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 (-.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 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))) (#(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) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) 2)) (cbrt.f64 (*.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 (-.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 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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 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simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-neg_binary64`
451×	`distribute-rgt-neg-in_binary64`
374×	`distribute-lft-neg-in_binary64`
322×	`fma-def_binary64`
289×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	5613
1	1220	5504
2	4313	5477

Stop Event

1×	node limit

Counts

131 → 183

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

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

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.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)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 374 to 203 computations (45.7% saved)

series46.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	phi2	@	inf	(-.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)))
5.0ms	lambda1	@	0	(-.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)))
1.0ms	lambda1	@	inf	(-.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)))
1.0ms	lambda2	@	-inf	(-.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)))
1.0ms	lambda2	@	inf	(-.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)))

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`fma-def_binary64`
397×	`expm1-udef_binary64`
396×	`log1p-udef_binary64`
284×	`fma-neg_binary64`
229×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	442	37
2	5920	37

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs

(-.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)))

Outputs

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

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

615×	`cancel-sign-sub-inv_binary64`
474×	`distribute-rgt-in_binary64`
458×	`distribute-lft-in_binary64`
390×	`fma-neg_binary64`
305×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	4638
1	917	4548
2	3114	4520

Stop Event

1×	node limit

Counts

86 → 115

Calls

Call 1

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

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

localize233.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
✓	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
✓	4.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

Compiler

Compiled 438 to 236 computations (46.1% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite66.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`prod-diff_binary64`
683×	`log-prod_binary64`
373×	`fma-def_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	302	30
2	3875	30

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

680×	`unswap-sqr_binary64`
417×	`distribute-rgt-in_binary64`
404×	`log-prod_binary64`
399×	`distribute-lft-in_binary64`
249×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	2216
1	758	2048
2	2278	1941
3	7542	1941

Stop Event

1×	node limit

Counts

122 → 183

Calls

Call 1

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

Outputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.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 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 (pow.f64 phi2 3) 1/48))))
(sin.f64 (.f64 1/2 (+.f64 (.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 (cos.f64 (.f64 -1/2 phi2)) (.f64 1/2 phi1)) (.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)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(fma.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)) (*.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 1/2 lambda2)) lambda1) (.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 (cos.f64 (.f64 1/2 lambda2)) lambda1) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 lambda1 lambda1)) (.f64 1/48 (.f64 (cos.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 3)))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 1/2 lambda2)))) (.f64 1/48 (.f64 (cos.f64 (*.f64 1/2 lambda2)) (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 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 lambda2 (.f64 1/2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 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 (.f64 lambda2 (.f64 (cos.f64 (.f64 -1/2 lambda1)) 1/2)) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))) (sin.f64 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 1/2 lambda2) (.f64 -1/48 (pow.f64 lambda2 3)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4)) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (*.f64 1/2 phi1)) phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (.f64 phi2 phi2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (neg.f64 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (.f64 phi2 (.f64 phi2 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) phi2 (.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6) (pow.f64 phi2 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4)) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (*.f64 1/2 phi1)) phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (-.f64 (fma.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) 1/6)) (.f64 phi2 (.f64 phi2 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (.f64 (.f64 phi2 phi2) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (*.f64 1/2 phi1)) 1/6)) phi2))))
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 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 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (.f64 phi1 (.f64 phi1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 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 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3) (fma.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(+.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 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))))
(+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 1/4 (.f64 phi1 phi1))) (.f64 (+.f64 (.f64 (.f64 phi1 phi1) -1/4) 1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(+.f64 0 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2))))
(fma.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 (neg.f64 phi1))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 (neg.f64 phi1)))))
(fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 (neg.f64 phi1)))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 (neg.f64 phi1)))))
(fma.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 (neg.f64 phi1))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 (neg.f64 phi1)))))
(fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (sin.f64 1)))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sin.f64 1)))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/2)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(fabs.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 1))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(+.f64 0 (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 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 (neg.f64 lambda2) -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (sin.f64 (.f64 (neg.f64 lambda2) -1/2))))
(fma.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 (neg.f64 lambda2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 -1/2 (neg.f64 lambda2)))))
(fma.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 (neg.f64 lambda2)))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 -1/2 (neg.f64 lambda2)))))
(fma.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 (neg.f64 lambda2))) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (sin.f64 (*.f64 -1/2 (neg.f64 lambda2)))))
(fma.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (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 lambda2 lambda1))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (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 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1)))
(-.f64 (.f64 (cos.f64 1) (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))) (.f64 (sin.f64 1) (cos.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (.f64 (cos.f64 1) (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 lambda2 lambda1)))))) (.f64 (sin.f64 1) (cos.f64 (exp.f64 (log1p.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 (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)))
(.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)))
(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 (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)))
(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 (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)))
(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)))
(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)))
(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)))
(+.f64 0 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 -1 (-.f64 phi2 phi1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (neg.f64 (-.f64 phi2 phi1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi2 phi1))))
(.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(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 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.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 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))
(.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)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 -1/2 (-.f64 phi2 phi1)) (.f64 -1/2 (-.f64 phi2 phi1)))) (cos.f64 (.f64 2 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 -1 (-.f64 phi2 phi1)))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (neg.f64 (-.f64 phi2 phi1))) 2))
(-.f64 1/2 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 4))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 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 phi2 phi1))) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)

eval3.8s (5%)

Compiler: Compiled 188681 to 114334 computations (39.4% saved)

prune2.0s (2.6%)

Pruning

94 alts after pruning (94 fresh and 0 done)

	Pruned	Kept	Total
New	2355	94	2449
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	2361	94	2455

Error

22.4b

Counts

2455 → 94

Alt Table

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Status	Error	Program
	23.8b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (-.f64 (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 (-.f64 phi1 phi2) 2)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.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 (-.f64 phi1 phi2) 1/2)) 2))))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (*.f64 R 2))
	42.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.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 (-.f64 phi1 phi2) 2)) 2)))) (.f64 R 2))
	43.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (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 (-.f64 phi1 phi2) 2)) 2)))) (.f64 R 2))
	24.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (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 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2)))) (.f64 R 2))
	35.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.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))
	31.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	35.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.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 (-.f64 phi1 phi2) 1/2)) 2))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)))))) (*.f64 R 2))
	39.7b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 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 (-.f64 phi1 phi2) 2)) 2)))) (.f64 R 2))
	50.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	52.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	49.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 -1/2 phi2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	46.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	49.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (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 lambda1 lambda2))))) 1))))))
	47.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 (neg.f64 lambda2) -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda2) -1/2)))))) 1))))))
▶	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
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	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.5b	(.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 (fma.f64 (cbrt.f64 (pow.f64 (fabs.f64 (cos.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (cos.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 4)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 -1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))
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	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.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)))))))))
	41.2b	(.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 phi2 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)))))))))
	35.9b	(.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 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	40.2b	(.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 (.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 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.8b	(.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 (.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (cos.f64 (.f64 -1/2 phi1)))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

Compiler

Compiled 13600 to 9440 computations (30.6% saved)

localize229.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.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)))))
✓	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))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 565 to 350 computations (38.1% saved)

series21.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

337×	`add-sqr-sqrt_binary64`
331×	`pow1_binary64`
330×	`*-un-lft-identity_binary64`
313×	`add-log-exp_binary64`
313×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	96
1	642	60

Stop Event

1×	node limit

Counts

2 → 87

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

Outputs

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

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

simplify151.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

834×	`times-frac_binary64`
433×	`fma-def_binary64`
405×	`associate-r_binary64`
377×	`associate-l_binary64`
222×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	9252
1	1498	8663
2	5681	8570

Stop Event

1×	node limit

Counts

159 → 197

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

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

localize194.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 382 to 215 computations (43.7% saved)

series41.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	lambda1	@	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	@	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	@	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	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)))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log-prod_binary64`
437×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
252×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	347	28
2	4445	28

Stop Event

1×	node limit

Counts

1 → 104

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

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((x *.f64 (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (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)) 6) (pow.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 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simplify433.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

358×	`cancel-sign-sub-inv_binary64`
296×	`distribute-rgt-in_binary64`
296×	`unswap-sqr_binary64`
278×	`distribute-lft-in_binary64`
275×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	6406
1	899	5983
2	2876	5698

Stop Event

1×	node limit

Counts

124 → 189

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)))
(-.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 (+.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 (+.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 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(+.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)) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.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)) (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))))
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(fma.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (neg.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
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(fma.f64 (cbrt.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))) (pow.f64 (cbrt.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) (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))))
(fma.f64 (cbrt.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))) (pow.f64 (cbrt.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) (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))))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (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))))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (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))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))) (neg.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (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))))
(fma.f64 (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (hypot.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (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))))
(fma.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 1 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.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 1 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (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))))
(fma.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 1 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (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))))
(fma.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 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.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 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (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))))
(fma.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 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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))))
(fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (cbrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (cbrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (sqrt.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (cos.f64 phi2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (+.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (+.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.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))))
(fma.f64 (+.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.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))))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (neg.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (neg.f64 (cos.f64 phi2)) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (neg.f64 (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))

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 (.f64 phi2 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 -1/24 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (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 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 (.f64 phi2 phi2) (neg.f64 (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 phi2 (.f64 phi2 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4)))) (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 (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 (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 -1/24 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (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 (.f64 phi2 phi2) (neg.f64 (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 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/720 1/1440) (pow.f64 phi2 6))) (-.f64 (.f64 (+.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4)) (+.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 (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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (-.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2))))))
(-.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)))
(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 (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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.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 (.f64 lambda2 (cos.f64 phi2))))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (-.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2))))))
(-.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 (cos.f64 phi2) (-.f64 (.f64 (.f64 lambda2 (neg.f64 lambda2)) (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 (.f64 (sin.f64 (.f64 lambda1 1/2)) (.f64 (cos.f64 (.f64 lambda1 1/2)) 1/6)) (pow.f64 lambda2 3)))) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (-.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (.f64 lambda1 1/2)))))))
(-.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 (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 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) lambda1)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(fma.f64 (neg.f64 (sin.f64 (.f64 -1/2 lambda2))) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2)))) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (-.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (neg.f64 (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2))))))
(-.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 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) lambda1)) (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)))
(-.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2)))))) (.f64 (cos.f64 phi2) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)))) (.f64 (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 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))))) (.f64 (neg.f64 (cos.f64 phi2)) (+.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)) (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 (.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 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi2)) lambda1)) (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)))
(-.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)))) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 (.f64 -1/2 lambda2)))))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (-.f64 (.f64 lambda1 (neg.f64 (cos.f64 phi2))) (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (neg.f64 (cos.f64 phi2)) (+.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)) (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)))
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(log.f64 (.f64 (exp.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (cos.f64 phi2))) (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (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)) 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 (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))))
(-.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 (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))))
(-.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 (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))))
(-.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 (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))) 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)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 phi2) (neg.f64 (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 (.f64 (cos.f64 phi2) (neg.f64 (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)))
(fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1 (.f64 (cos.f64 phi2) (neg.f64 (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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1 (.f64 (.f64 (cos.f64 phi2) (neg.f64 (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)))
(fma.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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 (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))
(-.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 (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)) 1 (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.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)) 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))))
(+.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)) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.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)) 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))))
(+.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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 1 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (neg.f64 (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 1 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (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)))
(fma.f64 1 (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)) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 1 (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)) (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))))
(+.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)) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.f64 1 (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)) (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 (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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 1 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (neg.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cbrt.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))) (pow.f64 (cbrt.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) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cbrt.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))) (pow.f64 (cbrt.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) (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))))
(+.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)) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.f64 (cbrt.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))) (pow.f64 (cbrt.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) (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 (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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(+.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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (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))))
(+.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)) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (fma.f64 (neg.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) (cos.f64 phi2))))
(+.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))) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.f64 (pow.f64 (cbrt.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) (cbrt.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))) (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 (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)) (+.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 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)) 2) (.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) (+.f64 (neg.f64 (cos.f64 phi2)) (cos.f64 phi2))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (+.f64 (.f64 (cos.f64 phi2) 0) (neg.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.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)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (.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)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.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)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (.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)) 2)) (.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))))) (.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)) 2)) (.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))))) (.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.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)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.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)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))) (neg.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 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 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (cos.f64 phi2) (neg.f64 (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 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
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(-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))

localize492.0ms (0.6%)

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 (-.f64 lambda1 lambda2) 2)))))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 438 to 233 computations (46.8% saved)

localize198.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
	4.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

Compiler

Compiled 431 to 241 computations (44.1% saved)

localize203.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.5b	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2))
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
	4.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

Compiler

Compiled 479 to 271 computations (43.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`pow1_binary64`
876×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	214	9
2	2387	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary64`
409×	`log-prod_binary64`
395×	`*-commutative_binary64`
363×	`associate-l_binary64`
339×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	603
1	228	587
2	659	561
3	3172	557
4	6323	557

Stop Event

1×	node limit

Counts

45 → 53

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

eval3.1s (4.1%)

Compiler: Compiled 166635 to 104344 computations (37.4% saved)

prune2.6s (3.4%)

Pruning

137 alts after pruning (137 fresh and 0 done)

	Pruned	Kept	Total
New	2073	98	2171
Fresh	50	39	89
Picked	1	0	1
Done	4	0	4
Total	2128	137	2265

Error

12.3b

Counts

2265 → 137

Alt Table

Click to see full alt table

Status	Error	Program
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.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 (-.f64 phi1 phi2) 1/2)) 2))))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (*.f64 R 2))
	24.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (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 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2)))) (.f64 R 2))
	31.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.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 (-.f64 phi1 phi2) 1/2)) 2))))) (.f64 R 2))
▶	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)))))) (*.f64 R 2))
	52.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	53.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	50.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	52.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	48.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
	46.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) (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))))))) 2)))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))) 1))))))
	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (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 lambda1 lambda2)))))) 1))))))
	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
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	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
	33.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)))))))
	49.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 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)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.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)))))))))))
	24.1b	(.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 (sqrt.f64 (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 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) 2))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 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)))))))
	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -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)))))))
	45.2b	(.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 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	37.1b	(.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)) (fabs.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3)))))) (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)))))))
	42.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.8b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	33.6b	(.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 (-.f64 (.f64 (sin.f64 (.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)))))))))
	34.2b	(.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 (-.f64 lambda1 lambda2) 2)))))))))
	44.9b	(.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 -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)))))))))
	39.3b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	39.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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)))))))))
	39.7b	(.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)))))))))
	37.0b	(.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 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	25.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (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)))))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (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 -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)))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.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 (.f64 (.f64 (cos.f64 phi1) (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)))))))))
	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.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)))))))))
	44.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.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)))))))))
	46.2b	(.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 phi2 1/2)) phi1))) (.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)))))))))
	35.8b	(.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 (.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (cos.f64 (.f64 -1/2 phi1)))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

Compiler

Compiled 19332 to 13778 computations (28.7% saved)

localize385.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (fma.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
	0.4b	(-.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)))))
	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))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 669 to 445 computations (33.5% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
377×	`pow2_binary64`
343×	`fma-def_binary64`
263×	`pow1/3_binary64`
263×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	326	13
2	3837	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

525×	`unswap-sqr_binary64`
470×	`fma-def_binary64`
373×	`associate-l_binary64`
362×	`distribute-lft-out_binary64`
352×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1459
1	348	1388
2	882	1348
3	3789	1331

Stop Event

1×	node limit

Counts

51 → 82

Calls

Call 1

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

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

localize155.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 319 to 175 computations (45.1% saved)

series3.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`prod-diff_binary64`
478×	`log-prod_binary64`
291×	`pow2_binary64`
274×	`pow-prod-down_binary64`
261×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	237	15
2	2912	12

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (sqrt.f64 (pow.f64 (cos.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 lambda2 lambda1))) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (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 lambda2 lambda1))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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))) 4)) (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 lambda2 lambda1))) 4)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)) (-.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (cos.f64 (-.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)) (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 4) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) 1)))))

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
395×	`sub-neg_binary64`
375×	`div-sub_binary64`
299×	`unswap-sqr_binary64`
231×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	1630
1	538	1376
2	1703	1339
3	6190	1333

Stop Event

1×	node limit

Counts

64 → 98

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

localize203.0ms (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)
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 444 to 243 computations (45.3% saved)

localize192.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.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))) 3)
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 427 to 244 computations (42.9% saved)

series57.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	phi2	@	0	(pow.f64 (cbrt.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))) 3)
10.0ms	lambda1	@	0	(pow.f64 (cbrt.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))) 3)
9.0ms	lambda2	@	0	(pow.f64 (cbrt.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))) 3)
3.0ms	lambda2	@	inf	(pow.f64 (cbrt.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))) 3)
3.0ms	lambda2	@	-inf	(pow.f64 (cbrt.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))) 3)

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
739×	`prod-diff_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	403	26
2	4554	26

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(pow.f64 (cbrt.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))) 3)

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

simplify157.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-r_binary64`
503×	`associate-l_binary64`
384×	`unswap-sqr_binary64`
371×	`*-commutative_binary64`
314×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	10399
1	1521	9865
2	5513	9851

Stop Event

1×	node limit

Counts

89 → 117

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) lambda2) (.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
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(.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))))))))))) (pow.f64 lambda2 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) lambda2) (.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.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 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 1 1/3))
(.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 1 1/3))
(.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 1 1/3))
(.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 1 1/3))
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(log.f64 (+.f64 1 (expm1.f64 (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)))))
(log.f64 (.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))
(cbrt.f64 (pow.f64 (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)) 3))
(expm1.f64 (log1p.f64 (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))))
(log1p.f64 (expm1.f64 (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))))
(exp.f64 (log.f64 (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))))
(exp.f64 (.f64 (log.f64 (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))) 1))
(fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 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))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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) (cos.f64 phi2)))
(fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1 (.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) (cos.f64 phi2)))
(fma.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(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) (cos.f64 phi2)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (cos.f64 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2) (.f64 (cbrt.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) (cos.f64 phi2)))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.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) (cos.f64 phi2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) 1 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.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))) 2) (cos.f64 phi2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.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))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cbrt.f64 (cos.f64 phi2)) 2)) (cbrt.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (sqrt.f64 (cos.f64 phi2))) (sqrt.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1) (cos.f64 phi2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))

Outputs
(.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.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 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) lambda2) (.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4) 1/18)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 1/2 lambda1)))) 1) lambda2 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(fma.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (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 lambda1)) 2))) 4) 1/18) (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 lambda1)) 2))) 4) 1/18)))) lambda2 (-.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 lambda2 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/3) (-.f64 (.f64 -1 (.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 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (.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 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) lambda2) (.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (fma.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/18))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))) (+.f64 (neg.f64 (.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))))) (.f64 1/3 (+.f64 (neg.f64 (.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/18)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4) 1/18)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 1/2 lambda1)))) 1) lambda2 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (fma.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (fma.f64 1/9 (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) 4)) 1/18)))) (.f64 (fma.f64 (neg.f64 (cos.f64 phi2)) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4)) (.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (.f64 1/3 (fma.f64 (neg.f64 (cos.f64 phi2)) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4)) (.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18))))))) (fma.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (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 lambda1)) 2))) 4) 1/18) (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 lambda1)) 2))) 4) 1/18)))) lambda2 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (fma.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (fma.f64 1/9 (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) 4)) 1/18)))) (.f64 (-.f64 (.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18))) (.f64 (cos.f64 phi2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (.f64 1/3 (-.f64 (.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 phi2) 2)))) (.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 1/18))) (.f64 (cos.f64 phi2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) 1/4))))))) (fma.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (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 lambda1)) 2))) 4) 1/18) (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 lambda1)) 2))) 4) 1/18)))) lambda2 (-.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 lambda2 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) 4)) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/3) (-.f64 (.f64 -1 (.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 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (.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 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) 1/9) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3) (pow.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 3)) (+.f64 (.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)) 4) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3) (pow.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 3)) (fma.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) (fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 6) (pow.f64 (cos.f64 phi2) 3) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 6)) (fma.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) (fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))
(/.f64 (-.f64 (.f64 (.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))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (-.f64 (.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 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (neg.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2) (neg.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)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (neg.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)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(sqrt.f64 (pow.f64 (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)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log.f64 (exp.f64 (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))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (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)))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log.f64 (.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(cbrt.f64 (pow.f64 (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)) 3))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(expm1.f64 (log1p.f64 (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))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(log1p.f64 (expm1.f64 (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))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(exp.f64 (log.f64 (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))))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(exp.f64 (.f64 (log.f64 (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))) 1))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 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))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) 1 (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 1 (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 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(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) (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (cos.f64 phi2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2) (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 4)) (.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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2) (.f64 (cbrt.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) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sqrt.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) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) 1 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.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))) 2) (cos.f64 phi2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.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))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) 2)) (cbrt.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cbrt.f64 (cos.f64 phi2)) 2)) (cbrt.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (sqrt.f64 (cos.f64 phi2))) (sqrt.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1) (cos.f64 phi2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(.f64 1 (fma.f64 -1 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))

localize174.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	4.7b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))

Compiler

Compiled 428 to 244 computations (43% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	1957	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

406×	`fma-neg_binary64`
350×	`log-prod_binary64`
331×	`*-commutative_binary64`
303×	`associate-l_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	504
1	199	496
2	604	472
3	2682	472
4	5304	470

Stop Event

1×	node limit

Counts

40 → 45

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

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

eval3.5s (4.6%)

Compiler: Compiled 152633 to 101544 computations (33.5% saved)

prune1.9s (2.5%)

Pruning

192 alts after pruning (192 fresh and 0 done)

	Pruned	Kept	Total
New	1680	97	1777
Fresh	37	95	132
Picked	1	0	1
Done	4	0	4
Total	1722	192	1914

Error

12.2b

Counts

1914 → 192

Alt Table

Click to see full alt table

Status	Error	Program
	42.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
▶	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (*.f64 R 2))
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	31.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.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 (-.f64 phi1 phi2) 1/2)) 2))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.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)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
	42.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	49.0b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
	44.0b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
	44.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
	52.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
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	52.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))) 1))))))
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	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
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	52.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 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 (-.f64 (.f64 (sin.f64 (.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)))))))))
	35.8b	(.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 (.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (cos.f64 (.f64 -1/2 phi1)))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

Compiler

Compiled 26312 to 19128 computations (27.3% saved)

localize410.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2)))) 2)
	0.4b	(-.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)))))
	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))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 676 to 450 computations (33.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
371×	`pow2_binary64`
323×	`fma-def_binary64`
259×	`pow1/3_binary64`
259×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	326	12
2	3848	12

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

526×	`unswap-sqr_binary64`
477×	`distribute-rgt-in_binary64`
476×	`fma-def_binary64`
390×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1426
1	351	1376
2	921	1342
3	3965	1331

Stop Event

1×	node limit

Counts

51 → 73

Calls

Call 1

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

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

localize111.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.0b	(cos.f64 (-.f64 lambda2 lambda1))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 299 to 152 computations (49.2% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	158	15
2	2241	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(cos.f64 (-.f64 lambda2 lambda1))
(+.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))

Outputs

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

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

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
466×	`times-frac_binary64`
318×	`unswap-sqr_binary64`
283×	`fma-neg_binary64`
243×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1313
1	452	1230
2	1629	1141
3	7962	1141

Stop Event

1×	node limit

Counts

85 → 126

Calls

Call 1

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

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

localize165.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.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))))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.0b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 403 to 240 computations (40.4% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

15 calls:

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

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`fma-def_binary64`
342×	`expm1-udef_binary64`
341×	`log1p-udef_binary64`
280×	`log-pow_binary64`
267×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	408	38
2	5148	38

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

593×	`unswap-sqr_binary64`
579×	`distribute-rgt-in_binary64`
579×	`cancel-sign-sub-inv_binary64`
290×	`fma-neg_binary64`
279×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	4821
1	993	4517
2	3251	4465

Stop Event

1×	node limit

Counts

131 → 191

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 6))) (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))) (.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 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.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 1 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.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 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))))) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(+.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 (neg.f64 lambda2) 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 (neg.f64 lambda2) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 (neg.f64 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (neg.f64 lambda2)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))) 1)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(.f64 1 (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)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))
(log1p.f64 (expm1.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))
(+.f64 1 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))
(+.f64 1 (.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))) 1))
(+.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) 1)
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (neg.f64 (.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 -1 (.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 (neg.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 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi2)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.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 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
(.f64 1 (-.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))) 1)
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(fma.f64 1 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 1 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
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(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
(fma.f64 -1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) 1)
(fma.f64 (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))))) (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) 1)

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)))
(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 -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 lambda2 1/2)) lambda1) (.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 (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 lambda2 1/2)) lambda1) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda1 lambda1)) 1) (sin.f64 (.f64 -1/2 lambda2)))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (*.f64 (pow.f64 lambda1 3) -1/48)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 1/2 lambda1))) (.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.f64 (.f64 -1/8 lambda2) lambda2) 1) (sin.f64 (.f64 1/2 lambda1))))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (+.f64 (.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 (.f64 -1/8 lambda2) lambda2) 1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 lambda2) (.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (.f64 (+.f64 (.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 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (fma.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 phi2 phi2)) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4)) (.f64 phi2 phi2) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (fma.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 phi2 phi2)) (+.f64 1 (.f64 (+.f64 1/48 (.f64 -1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (-.f64 (fma.f64 (+.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4) 1) (.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 phi2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (-.f64 (fma.f64 (+.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 phi2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 6))) (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 phi2 phi2)) 1) (fma.f64 -1 (.f64 (+.f64 1/1440 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) -1/720)) (pow.f64 phi2 6)) (.f64 (+.f64 1/48 (.f64 -1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi2 4)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4)) (.f64 phi2 phi2) 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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/720 1/1440) (neg.f64 (pow.f64 phi2 6)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (-.f64 (-.f64 (fma.f64 (+.f64 1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4) 1) (.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 phi2))) (.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 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 1 (-.f64 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(-.f64 (-.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 lambda1 (.f64 (cos.f64 (.f64 lambda2 1/2)) (cos.f64 phi2))) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))) (.f64 lambda1 lambda1)) (+.f64 1 (neg.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (-.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))))) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (fma.f64 (sin.f64 (.f64 lambda2 1/2)) (.f64 lambda1 (.f64 (cos.f64 (.f64 lambda2 1/2)) (cos.f64 phi2))) 1) (.f64 (cos.f64 phi2) (-.f64 (.f64 lambda1 (neg.f64 (.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 1/2)) 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.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 1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) lambda1)))) (.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 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 -1 (.f64 (.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))) (.f64 lambda1 lambda1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2)))) (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) -1/6) (.f64 (pow.f64 lambda1 3) (cos.f64 phi2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2))) (.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))))) 1) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (-.f64 1 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 lambda2 1/2))) (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 -1/6 (.f64 (pow.f64 lambda1 3) (cos.f64 phi2)))))) (.f64 (cos.f64 phi2) (-.f64 (.f64 lambda1 (neg.f64 (.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 1/2)) 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 phi2) lambda2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) 1) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 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 1 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.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 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (+.f64 1 (.f64 (.f64 (cos.f64 phi2) lambda2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(-.f64 (-.f64 (fma.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) 1) (.f64 lambda2 (.f64 lambda2 (.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) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(+.f64 (-.f64 1 (.f64 (cos.f64 phi2) (.f64 (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)))) (-.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 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 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))))) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.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 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (+.f64 1 (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (.f64 (.f64 (cos.f64 phi2) lambda2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
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(+.f64 (-.f64 1 (.f64 (cos.f64 phi2) (.f64 (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)))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (-.f64 (.f64 lambda2 (cos.f64 phi2)) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(+.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 (neg.f64 lambda2) 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 (neg.f64 lambda2) 1/2))))
(fma.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 (neg.f64 lambda2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (neg.f64 lambda2)))))
(fma.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 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (*.f64 1/2 lambda1))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 (neg.f64 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (neg.f64 lambda2)))))
(fma.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 (neg.f64 lambda2))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (neg.f64 lambda2)))))
(fma.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 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (*.f64 1/2 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 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1)))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (sin.f64 1)))
(.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 (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)))
(.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 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))))
(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 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1/2)
(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)))
(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 (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)))
(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)))
(fabs.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 (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)))
(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)))
(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)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 1)
(-.f64 1 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))
(fma.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))))) 1)
(fma.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))))) 1)
(-.f64 1 (.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))))))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))))) (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))) 1)
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (neg.f64 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 -1 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.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 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 1)
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (neg.f64 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 -1 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.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 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (neg.f64 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 -1 (.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.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 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2)) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4)))) (cbrt.f64 (.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 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (cbrt.f64 (.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 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 -1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 1)
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 lambda1 lambda2))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) 1)
(-.f64 1 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))
(fma.f64 (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))))) (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) 1)
(fma.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2)))) (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi2))))) 1)
(fma.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (neg.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))))) 1)
(-.f64 1 (.f64 (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (hypot.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))))))

localize182.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	4.0b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 476 to 254 computations (46.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	1957	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

437×	`fma-neg_binary64`
349×	`log-prod_binary64`
336×	`*-commutative_binary64`
307×	`associate-l_binary64`
282×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	506
1	207	490
2	616	474
3	2716	470
4	5362	470

Stop Event

1×	node limit

Counts

40 → 46

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

localize167.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	4.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.7b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))

Compiler

Compiled 428 to 244 computations (43% saved)

eval3.6s (4.7%)

Compiler: Compiled 125923 to 80910 computations (35.7% saved)

prune1.8s (2.3%)

Pruning

212 alts after pruning (212 fresh and 0 done)

	Pruned	Kept	Total
New	1572	66	1638
Fresh	41	146	187
Picked	1	0	1
Done	4	0	4
Total	1618	212	1830

Error

12.2b

Counts

1830 → 212

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (*.f64 R 2))
	44.2b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2))) 3))) (*.f64 R 2))
	46.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 phi1)) 2))) 3))) (*.f64 R 2))
	24.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (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 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2)))) (.f64 R 2))
	31.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	44.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (+.f64 (.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 (-.f64 phi1 phi2) 1/2)) 2))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)) 1) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (*.f64 R 2))
	49.8b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (.f64 R 2))
	45.7b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (.f64 R 2))
	46.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2))) 3))) (.f64 R 2))
	44.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (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 (-.f64 phi1 phi2) 1/2)) 2)) 2)))) (.f64 R 2))
	52.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	53.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	50.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	52.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	44.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	48.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))) 1))))))
	46.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (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 lambda1 lambda2)))))) 1))))))
	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
	44.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (-.f64 phi2 phi1)) 2)) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	47.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	49.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
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	44.9b	(.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.5b	(.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	53.0b	(.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 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	47.2b	(.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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
	39.3b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	39.7b	(.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)))))))))
	47.2b	(.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 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	43.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
	44.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (.f64 (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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
	42.1b	(.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 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	44.9b	(.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 (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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
	25.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (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)))))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (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 -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)))))))))
	47.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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)))))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.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 (.f64 (.f64 (cos.f64 phi1) (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)))))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 (cos.f64 (.f64 phi1 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)))))) (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)))))))))
	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.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)))))))))
	52.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 phi2 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 (-.f64 (.f64 (sin.f64 (.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)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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)))))))))
	35.8b	(.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 (.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (cos.f64 (.f64 -1/2 phi1)))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))

Compiler

Compiled 14294 to 10419 computations (27.1% saved)

regimes3.6s (4.7%)

Counts

361 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

268.0ms	(+.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))))
260.0ms	(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)))))))
249.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
244.0ms	(-.f64 lambda1 lambda2)
243.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
13.2b	1	`R`
13.2b	1	`lambda1`
13.2b	1	`lambda2`
13.2b	1	`phi1`
13.2b	1	`phi2`
13.2b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.2b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.2b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.2b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.2b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.2b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 23028 to 14255 computations (38.1% saved)

regimes3.4s (4.5%)

Counts

348 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

310.0ms	phi1
300.0ms	phi2
264.0ms	lambda1
253.0ms	(.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)))))))))
249.0ms	R

Results

Error	Segments	Branch
13.3b	1	`R`
13.3b	1	`lambda1`
13.3b	1	`lambda2`
13.3b	1	`phi1`
13.3b	1	`phi2`
13.3b	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)))))))))`
13.3b	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))))))))`
13.3b	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)))))))`
13.3b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21802 to 13454 computations (38.3% saved)

regimes4.1s (5.3%)

Counts

347 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

349.0ms	(.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))))))))
295.0ms	lambda1
287.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
284.0ms	(-.f64 lambda1 lambda2)
268.0ms	phi1

Results

Error	Segments	Branch
13.3b	1	`R`
13.3b	1	`lambda1`
13.3b	1	`lambda2`
13.3b	1	`phi1`
13.3b	1	`phi2`
13.3b	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)))))))))`
13.3b	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))))))))`
13.3b	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)))))))`
13.3b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21712 to 13395 computations (38.3% saved)

regimes3.5s (4.6%)

Counts

336 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

336.0ms	(.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))))))))
290.0ms	(.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)))))))))
278.0ms	(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)))))))
249.0ms	(+.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))))
245.0ms	phi2

Results

Error	Segments	Branch
23.8b	1	`R`
23.8b	1	`lambda1`
23.8b	1	`lambda2`
23.8b	1	`phi1`
23.8b	1	`phi2`
23.8b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
23.8b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
23.8b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
23.8b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
23.8b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.8b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.8b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20797 to 12796 computations (38.5% saved)

regimes2.4s (3.2%)

Counts

264 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

213.0ms	phi1
180.0ms	lambda2
169.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
168.0ms	R
164.0ms	lambda1

Results

Error	Segments	Branch
24.1b	1	`R`
24.1b	1	`lambda1`
24.1b	1	`lambda2`
24.1b	1	`phi1`
24.1b	1	`phi2`
24.1b	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)))))))))`
24.1b	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))))))))`
24.1b	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)))))))`
24.1b	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))))`
24.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 15691 to 9634 computations (38.6% saved)

regimes1.5s (2%)

Counts

173 → 1

Calls

Call 1

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

Calls

12 calls:

109.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
106.0ms	(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)))))))
101.0ms	R
99.0ms	(.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))))))))
98.0ms	(+.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
24.4b	1	`R`
24.4b	1	`lambda1`
24.4b	1	`lambda2`
24.4b	1	`phi1`
24.4b	1	`phi2`
24.4b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.4b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.4b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.4b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.4b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.4b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 9566 to 5864 computations (38.7% saved)

regimes550.0ms (0.7%)

Counts

107 → 1

Calls

Call 1

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

Calls

8 calls:

53.0ms	phi1
52.0ms	lambda2
52.0ms	phi2
50.0ms	R
50.0ms	lambda1

Results

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

Compiler

Compiled 5418 to 3344 computations (38.3% saved)

regimes851.0ms (1.1%)

Counts

100 → 2

Calls

Call 1

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

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -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 (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

6 calls:

192.0ms	lambda1
172.0ms	R
109.0ms	phi2
95.0ms	(-.f64 lambda1 lambda2)
86.0ms	phi1

Results

Error	Segments	Branch
30.8b	3	`R`
30.7b	3	`lambda1`
31.9b	1	`lambda2`
24.0b	2	`phi1`
23.9b	2	`phi2`
31.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4963 to 3081 computations (37.9% saved)

bsearch233.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
230.0ms	31906592.64351601	58435938022.35794

Results

144.0ms	76×	body	1024	valid
57.0ms	20×	body	512	valid
16.0ms	29×	body	256	valid
9.0ms	3×	body	2048	valid

Compiler

Compiled 1006 to 749 computations (25.5% saved)

regimes746.0ms (1%)

Counts

88 → 2

Calls

Call 1

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

Calls

6 calls:

153.0ms	lambda1
120.0ms	lambda2
104.0ms	(-.f64 lambda1 lambda2)
84.0ms	phi1
77.0ms	phi2

Results

Error	Segments	Branch
35.9b	1	`R`
33.4b	4	`lambda1`
34.6b	3	`lambda2`
29.3b	2	`phi1`
31.4b	2	`phi2`
34.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4306 to 2664 computations (38.1% saved)

bsearch240.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
238.0ms	-0.011805678950642067	-2.268474445506734e-9

Results

162.0ms	82×	body	1024	valid
30.0ms	9×	body	2048	valid
26.0ms	23×	body	512	valid
16.0ms	30×	body	256	valid

Compiler

Compiled 1122 to 836 computations (25.5% saved)

regimes734.0ms (1%)

Counts

87 → 2

Calls

Call 1

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

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

6 calls:

144.0ms	R
143.0ms	lambda1
78.0ms	lambda2
77.0ms	phi1
75.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
36.9b	4	`R`
33.8b	4	`lambda1`
35.5b	2	`lambda2`
30.0b	2	`phi1`
31.7b	2	`phi2`
36.5b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4253 to 2632 computations (38.1% saved)

bsearch158.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
156.0ms	-4.618376883874145e-19	-8.803980706386035e-20

Results

103.0ms	54×	body	1024	valid
23.0ms	20×	body	512	valid
14.0ms	4×	body	2048	valid
13.0ms	18×	body	256	valid

Compiler

Compiled 762 to 569 computations (25.3% saved)

regimes566.0ms (0.7%)

Counts

84 → 2

Calls

Call 1

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

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

6 calls:

108.0ms	phi2
81.0ms	phi1
76.0ms	lambda2
74.0ms	lambda1
71.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
39.3b	1	`R`
35.9b	2	`lambda1`
35.8b	2	`lambda2`
33.4b	2	`phi1`
34.7b	3	`phi2`
36.5b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4097 to 2539 computations (38% saved)

bsearch138.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
136.0ms	-4.618376883874145e-19	-8.803980706386035e-20

Results

92.0ms	50×	body	1024	valid
17.0ms	15×	body	512	valid
15.0ms	28×	body	256	valid
9.0ms	3×	body	2048	valid

Compiler

Compiled 750 to 569 computations (24.1% saved)

regimes617.0ms (0.8%)

Counts

74 → 4

Calls

Call 1

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

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

Calls

6 calls:

120.0ms	phi2
92.0ms	lambda2
92.0ms	lambda1
87.0ms	R
64.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
42.0b	3	`R`
42.2b	3	`lambda1`
41.6b	3	`lambda2`
40.4b	2	`phi1`
39.7b	4	`phi2`
40.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3587 to 2211 computations (38.4% saved)

bsearch423.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
55.0ms	6.467152847642155e+85	7.703865123189911e+85
200.0ms	2.0234054089151385e-18	1.489344589600432e-14
166.0ms	-9.850937028113142e-112	-3.178096735620408e-113

Results

287.0ms	156×	body	1024	valid
47.0ms	14×	body	2048	valid
45.0ms	42×	body	512	valid
34.0ms	60×	body	256	valid

Compiler

Compiled 2033 to 1550 computations (23.8% saved)

regimes527.0ms (0.7%)

Counts

73 → 2

Calls

Call 1

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

Calls

6 calls:

95.0ms	phi2
89.0ms	lambda1
88.0ms	lambda2
63.0ms	phi1
61.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
43.2b	1	`R`
42.2b	3	`lambda1`
41.6b	3	`lambda2`
40.4b	2	`phi1`
42.2b	3	`phi2`
40.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3538 to 2179 computations (38.4% saved)

bsearch235.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
233.0ms	-0.011805678950642067	-2.268474445506734e-9

Results

163.0ms	89×	body	1024	valid
27.0ms	22×	body	512	valid
26.0ms	8×	body	2048	valid
13.0ms	25×	body	256	valid

Compiler

Compiled 1131 to 872 computations (22.9% saved)

regimes294.0ms (0.4%)

Counts

72 → 1

Calls

Call 1

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

Calls

6 calls:

35.0ms	phi2
34.0ms	phi1
33.0ms	(-.f64 lambda1 lambda2)
32.0ms	lambda2
31.0ms	lambda1

Results

Error	Segments	Branch
43.2b	1	`R`
43.2b	1	`lambda1`
43.2b	1	`lambda2`
43.2b	1	`phi1`
43.2b	1	`phi2`
43.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3489 to 2147 computations (38.5% saved)

regimes233.0ms (0.3%)

Counts

65 → 1

Calls

Call 1

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

Calls

5 calls:

32.0ms	R
29.0ms	phi2
29.0ms	lambda1
29.0ms	phi1
29.0ms	lambda2

Results

Error	Segments	Branch
43.7b	1	`R`
43.7b	1	`lambda1`
43.7b	1	`lambda2`
43.7b	1	`phi1`
43.7b	1	`phi2`

Compiler

Compiled 3081 to 1895 computations (38.5% saved)

regimes216.0ms (0.3%)

Counts

63 → 1

Calls

Call 1

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

Calls

5 calls:

28.0ms	phi2
28.0ms	phi1
28.0ms	lambda2
26.0ms	R
26.0ms	lambda1

Results

Error	Segments	Branch
43.8b	1	`R`
43.8b	1	`lambda1`
43.8b	1	`lambda2`
43.8b	1	`phi1`
43.8b	1	`phi2`

Compiler

Compiled 2975 to 1831 computations (38.5% saved)

regimes68.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

Calls

5 calls:

10.0ms	phi1
10.0ms	phi2
10.0ms	lambda2
9.0ms	lambda1
9.0ms	R

Results

Error	Segments	Branch
43.8b	1	`R`
43.8b	1	`lambda1`
43.8b	1	`lambda2`
43.8b	1	`phi1`
43.8b	1	`phi2`

Compiler

Compiled 798 to 499 computations (37.5% saved)

regimes49.0ms (0.1%)

Accuracy

Total -14.0b remaining (-32.1%)

Threshold costs -14.0b (-32.1%)

Counts

6 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

10.0ms	phi1
9.0ms	lambda2
9.0ms	lambda1
9.0ms	phi2
5.0ms	R

Results

Error	Segments	Branch
45.4b	1	`R`
43.9b	2	`lambda1`
43.8b	2	`lambda2`
44.0b	2	`phi1`
43.8b	2	`phi2`

Compiler

Compiled 281 to 183 computations (34.9% saved)

bsearch230.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
230.0ms	8.743327754056348e-33	2.809324492748235e-26

Results

156.0ms	85×	body	1024	valid
30.0ms	10×	body	2048	valid
27.0ms	24×	body	512	valid
13.0ms	25×	body	256	valid

Compiler

Compiled 924 to 701 computations (24.1% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

96×	`*-commutative_binary64`
62×	`+-commutative_binary64`
47×	`sub-neg_binary64`
33×	`neg-sub0_binary64`
33×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	2553
1	360	2553
2	456	2553
3	529	2553
4	588	2553
5	626	2553
6	640	2553
7	643	2553
8	644	2553

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (sqrt.f64 (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 1/2 (*.f64 -1/2 (cos.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 1/2 (/.f64 (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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))
(if (<=.f64 phi2 32000000) (.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -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 (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 phi1 -48999163945791/288230376151711744) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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 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 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi1 -4673067172681345/10384593717069655257060992658440192) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.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 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi1 -4673067172681345/10384593717069655257060992658440192) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (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 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (<=.f64 phi2 -324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (if (<=.f64 phi2 8239728901483491/633825300114114700748351602688) (.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 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 2))))) (if (<=.f64 phi2 64999999999999994049248843203302959578296931934177126402000728995650208513800410234880) (.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 (cos.f64 (-.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 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))))
(if (<=.f64 phi1 -6110483974416289/2305843009213693952) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (-.f64 (pow.f64 (cos.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 (-.f64 (.f64 (sin.f64 (.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 (cos.f64 (-.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)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 (-.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 (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 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) 2)))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (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 (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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
(if (<=.f64 phi2 8278036617694567/713623846352979940529142984724747568191373312) (.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 (cos.f64 (-.f64 lambda2 lambda1))) 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 (cos.f64 (-.f64 lambda2 lambda1))) 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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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 (fma.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (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 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (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 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 1/2)))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 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 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (sqrt.f64 (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 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.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 1/2 (/.f64 (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 (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 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (-.f64 1/2 (/.f64 (cos.f64 (-.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 (-.f64 (+.f64 -1/2 (/.f64 (cos.f64 (-.f64 phi1 phi2)) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))
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(.f64 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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
(if (<=.f64 phi2 8278036617694567/713623846352979940529142984724747568191373312) (.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 (cos.f64 (-.f64 lambda2 lambda1))) 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 (cos.f64 (-.f64 lambda2 lambda1))) 2))))))
(if (<=.f64 phi2 8278036617694567/713623846352979940529142984724747568191373312) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))) 2))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))) 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 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 lambda2 lambda1))) 2)))))

Compiler

Compiled 1704 to 1208 computations (29.1% saved)

soundness271.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

698×	`fma-def_binary64`
562×	`fma-neg_binary64`
509×	`distribute-rgt-neg-in_binary64`
483×	`fma-neg_binary64`
427×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	99
2	127	99
3	292	99
4	710	99
5	1670	99
6	3222	99
7	4904	99
8	6354	99
0	501	7212
1	1452	6980
2	5061	6954

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 542 to 402 computations (25.8% saved)

end886.0ms (1.2%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 2184 to 1419 computations (35% saved)