Details

analyze2.4s (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample21.1s (14.1%)

Results

16.1s	5481×	body	1024	valid
2.1s	1248×	body	512	valid
2.0s	419×	body	2048	valid
815.0ms	1108×	body	256	valid
1.0ms	1×	body	512	invalid

preprocess118.0ms (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)))))))))))
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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)))))))
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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)

simplify80.0ms (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 → 2

Calls

Call 1

Inputs

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

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

eval2.0ms (0%)

Compiler: Compiled 133 to 84 computations (36.8% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

24.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.3b	(.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 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
▶	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Status

Error

Program

▶

41.3b

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

▶

25.1b

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

Compiler

Compiled 138 to 92 computations (33.3% saved)

localize229.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.8b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series38.0ms (0%)

Counts

4 → 120

Calls

30 calls:

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

rewrite120.0ms (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	77
1	479	67
2	6796	67

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

simplify156.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

618×	`cancel-sign-sub-inv_binary64`
467×	`associate-+r+_binary64`
363×	`associate--l+_binary64`
348×	`fma-def_binary64`
338×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	3784
1	890	3696
2	3155	3600

Stop Event

1×	node limit

Counts

220 → 192

Calls

Call 1

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

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

localize263.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
✓	4.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
✓	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 438 to 236 computations (46.1% saved)

series11.0ms (0%)

Counts

4 → 72

Calls

24 calls:

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

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`fma-def_binary64`
346×	`fma-neg_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	353	47
2	5061	47

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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 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 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 (neg.f64 lambda1) -1/2))) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 (neg.f64 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 (neg.f64 lambda1)))) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 -1/2 (neg.f64 lambda1)))))))) (#(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 (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)))))) (#(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 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))) 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 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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simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

760×	`distribute-rgt-in_binary64`
661×	`associate-l_binary64`
598×	`associate-r_binary64`
474×	`distribute-rgt-out_binary64`
396×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1802
1	566	1722
2	1628	1688
3	5341	1624

Stop Event

1×	node limit

Counts

155 → 155

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

eval856.0ms (0.6%)

Compiler: Compiled 48347 to 29085 computations (39.8% saved)

prune496.0ms (0.3%)

Pruning

87 alts after pruning (87 fresh and 0 done)

	Pruned	Kept	Total
New	565	87	652
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	567	87	654

Error

23.0b

Counts

654 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	45.1b	(.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))))))
	35.0b	(.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 (-.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 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 lambda2 -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))))))
	41.3b	(.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 1 (/.f64 2 (-.f64 (cos.f64 (.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))))))) 1))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
▶	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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)))))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	43.8b	(.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 lambda2 -1/2)) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	48.7b	(.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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))))) (.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))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
	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) (fma.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 (sin.f64 (.f64 -1/2 lambda1))) (.f64 1/2 (sin.f64 (.f64 1/2 lambda1))))) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) 1))))))
	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
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	38.5b	(.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)) (+.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)))))))))
	41.3b	(.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 (+.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))))))
	47.1b	(.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))))))
	36.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	47.5b	(.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))) (-.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))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	47.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 (+.f64 (.f64 lambda1 (.f64 lambda1 -1/8)) 1) (sin.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/2 lambda1) (.f64 (pow.f64 lambda1 3) -1/48)))) (.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))))))
	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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)))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
	33.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.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)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	27.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (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))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.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))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
	41.3b	(.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 (-.f64 (cos.f64 (.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)) 1))))))
	27.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.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))))))))

Compiler

Compiled 12842 to 8846 computations (31.1% saved)

localize243.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 582 to 354 computations (39.2% saved)

series25.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	phi1	@	0	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite69.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

326×	`add-sqr-sqrt_binary64`
320×	`pow1_binary64`
319×	`*-un-lft-identity_binary64`
302×	`add-log-exp_binary64`
302×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	101
1	628	49

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

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

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

Outputs

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

simplify128.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

614×	`cancel-sign-sub-inv_binary64`
350×	`associate-+r+_binary64`
345×	`associate--l+_binary64`
324×	`neg-sub0_binary64`
324×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	4232
1	711	4173
2	2578	4110
3	7772	4110

Stop Event

1×	node limit

Counts

136 → 117

Calls

Call 1

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

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

localize158.0ms (0.1%)

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)))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 212 computations (44.4% saved)

series20.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	lambda2	@	0	(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
2.0ms	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)))
2.0ms	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)))

rewrite225.0ms (0.2%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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)))))) (#(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) (neg.f64 (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) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))) (log.f64 (cbrt.f64 (exp.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.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))))) (log.f64 (sqrt.f64 (exp.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (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)) (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 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simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
696×	`associate-l_binary64`
647×	`associate-r_binary64`
387×	`sub-neg_binary64`
253×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1012
1	416	969
2	1404	920
3	7011	915

Stop Event

1×	node limit

Counts

124 → 129

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)))

Outputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(+.f64 1 (-.f64 (neg.f64 (.f64 (.f64 phi2 phi2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (-.f64 1 (.f64 phi2 (.f64 phi2 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 (neg.f64 phi2)) (-.f64 1 (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 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (neg.f64 (.f64 phi2 phi2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 (neg.f64 phi2)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24 1/48) (pow.f64 phi2 4) 1)) (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 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (neg.f64 (.f64 phi2 phi2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (.f64 phi2 (neg.f64 phi2)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24 1/48) (pow.f64 phi2 4) 1)) (+.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/720 1/1440) (pow.f64 phi2 6)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))
(fma.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 lambda1 1/2)) 2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 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 (cos.f64 phi2) (.f64 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))))
(fma.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)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (cos.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 (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 lambda2 lambda2) (.f64 (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 (cos.f64 phi2) (.f64 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)))))
(fma.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 phi2))) (neg.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))) (fma.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)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(fma.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 phi2))) (neg.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))) (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (cos.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 (.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 lambda2 lambda2) (.f64 (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 (cos.f64 phi2) (.f64 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)))))
(fma.f64 -1 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.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 (sin.f64 (.f64 lambda1 1/2)) (.f64 (.f64 (cos.f64 (.f64 lambda1 1/2)) 1/6) (pow.f64 lambda2 3))))) (fma.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)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 1/2)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 lambda1 1/2))) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (.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 (sin.f64 (.f64 lambda1 1/2)) (.f64 (.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) (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)))
(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 (+.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)))
(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 (+.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)))
(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 (+.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)))
(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 (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)))
(fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.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 (cos.f64 phi2) lambda1)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (.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 (fma.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 lambda2 1/2)) (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)))) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2)))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1))))) (.f64 (cos.f64 phi2) (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 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(+.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))))) (.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 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(+.f64 (fma.f64 (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 (.f64 -1/2 lambda2)))) (sin.f64 (.f64 lambda2 1/2)) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.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 (neg.f64 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 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (cos.f64 phi2)))) (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) -1/6) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1))))))) (.f64 (cos.f64 phi2) (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 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (.f64 lambda1 lambda1)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda1 3) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) -1/6))))) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)))
(+.f64 (fma.f64 -1 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) -1/6))) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.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 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(+.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))) (+.f64 (.f64 lambda1 (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) -1/6)))) (.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 (neg.f64 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)))
(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 (+.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)))
(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 (+.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)))
(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 (+.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)))
(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))

localize415.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 550 to 317 computations (42.4% saved)

series24.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`add-sqr-sqrt_binary64`
334×	`pow1_binary64`
333×	`*-un-lft-identity_binary64`
317×	`add-log-exp_binary64`
317×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	56
1	657	54

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs

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

Outputs

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

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

773×	`cancel-sign-sub-inv_binary64`
631×	`distribute-rgt-in_binary64`
617×	`distribute-lft-in_binary64`
353×	`fma-neg_binary64`
333×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3390
1	808	3321
2	2974	3274

Stop Event

1×	node limit

Counts

85 → 81

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))
(-.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 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 phi2 2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))))))
(-.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 -1/8 (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 -1/8 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))) (.f64 -1 (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 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 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 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 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/4 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda2 (.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 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (cos.f64 (.f64 -1/2 lambda2))) (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda2))) (pow.f64 lambda1 2))))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/4 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda2 (.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 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (cos.f64 (.f64 -1/2 lambda2))) (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) lambda2))) (pow.f64 lambda1 2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (+.f64 (.f64 -1/48 (sin.f64 (.f64 -1/2 lambda2))) (+.f64 (.f64 -1/16 (sin.f64 (.f64 -1/2 lambda2))) (+.f64 (.f64 1/32 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda2)))) (.f64 1/96 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda2))))))))))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/4 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))

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

localize381.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	4.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 470 to 251 computations (46.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (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))))))))

simplify73.0ms (0%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def_binary64`
532×	`associate-l_binary64`
405×	`associate-r_binary64`
346×	`neg-sub0_binary64`
338×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	360
1	142	352
2	351	328
3	1069	318
4	3673	318
5	7153	318

Stop Event

1×	node limit

Counts

40 → 34

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)))

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

localize424.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.1b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
✓	4.4b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 485 to 259 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	@	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))
0.0ms	lambda1	@	inf	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))

rewrite111.0ms (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))))))))

simplify67.0ms (0%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
512×	`associate-l_binary64`
450×	`unswap-sqr_binary64`
395×	`associate-r_binary64`
338×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	362
1	150	346
2	363	330
3	1077	320
4	3608	320
5	7078	320

Stop Event

1×	node limit

Counts

40 → 34

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)))

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 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (fma.f64 lambda1 (*.f64 lambda1 -1/8) 1)))
(fma.f64 (sin.f64 (.f64 -1/2 lambda2)) (fma.f64 lambda1 (.f64 lambda1 -1/8) 1) (.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 lambda2)) 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 (cos.f64 (.f64 -1/2 lambda2)) (.f64 1/2 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)))))
(fma.f64 (fma.f64 lambda1 (.f64 lambda1 -1/8) 1) (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (+.f64 (.f64 -1/48 (pow.f64 lambda1 3)) (.f64 1/2 lambda1))))
(fma.f64 (fma.f64 lambda1 (.f64 lambda1 -1/8) 1) (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 lambda1 (+.f64 1/2 (.f64 lambda1 (*.f64 lambda1 -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))))))
(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)))
(fma.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (.f64 (sin.f64 (.f64 1/2 lambda1)) (fma.f64 lambda2 (*.f64 lambda2 -1/8) 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)))
(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 lambda2 (*.f64 lambda2 -1/8) 1)))
(fma.f64 (sin.f64 (.f64 1/2 lambda1)) (fma.f64 lambda2 (.f64 lambda2 -1/8) 1) (.f64 (cos.f64 (.f64 1/2 lambda1)) (fma.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)))

eval2.7s (1.8%)

Compiler: Compiled 109789 to 68344 computations (37.7% saved)

prune1.1s (0.8%)

Pruning

125 alts after pruning (125 fresh and 0 done)

	Pruned	Kept	Total
New	1341	75	1416
Fresh	32	50	82
Picked	1	0	1
Done	4	0	4
Total	1378	125	1503

Error

13.8b

Counts

1503 → 125

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	46.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 lambda2 -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))))))
	35.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (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)))))))
	45.1b	(.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))))))
	35.0b	(.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 (-.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 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))))))
	46.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.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)))))))))
	35.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 phi2) phi2) 1) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 (pow.f64 phi2 3) 1/48)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2)))) (.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1))) (+.f64 (.f64 1/48 (.f64 lambda2 lambda2)) -1/2))) 2)))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 (neg.f64 lambda1) -1/2))) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2)))))))
	43.8b	(.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 lambda2 -1/2)) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	31.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 3)) 2)))))))
	48.7b	(.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 (sin.f64 (.f64 1/2 lambda1)) (+.f64 1 (.f64 -1/8 (.f64 lambda2 lambda2))))) (.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))))))
	43.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.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)))))))))
	43.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 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)))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
	31.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log1p.f64 (expm1.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)))))))
	26.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
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	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	37.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (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)))))))
	60.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))) (cos.f64 phi2))) 1/2))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.5b	(.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)) (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))))) (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)))))))
	52.3b	(.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 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (.f64 (exp.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))))
▶	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	41.3b	(.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 (-.f64 (cos.f64 (.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)) 1))))))
	27.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 17872 to 12772 computations (28.5% saved)

localize917.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 584 to 377 computations (35.4% saved)

series12.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	phi1	@	0	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	phi2	@	0	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	lambda2	@	0	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	lambda1	@	0	(.f64 (.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 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
758×	`prod-diff_binary64`
340×	`fma-def_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	306	22
2	4124	22

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify124.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg_binary64`
873×	`fma-def_binary64`
651×	`associate-+l+_binary64`
525×	`associate-+r+_binary64`
454×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1695
1	399	1631
2	1322	1502
3	3804	1468
4	7357	1468

Stop Event

1×	node limit

Counts

67 → 54

Calls

Call 1

Inputs
(.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 6)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.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 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.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 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.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 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))

Outputs
(.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 phi1 phi1)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) 1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 -1/2 (.f64 phi1 phi1) 1))
(.f64 (cos.f64 phi2) (.f64 (fma.f64 -1/2 (.f64 phi1 phi1) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 phi1 phi1)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 1/24 (.f64 (.f64 (pow.f64 phi1 4) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 phi1 phi1))) (.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (fma.f64 -1/2 (*.f64 phi1 phi1) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(fma.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 phi1 phi1)) (fma.f64 -1/720 (.f64 (.f64 (pow.f64 phi1 6) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 1/24 (.f64 (.f64 (pow.f64 phi1 4) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (.f64 -1/2 (.f64 phi1 phi1)) (.f64 -1/720 (pow.f64 phi1 6)))))
(fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 -1/2 (.f64 phi1 phi1) (.f64 -1/720 (pow.f64 phi1 6))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (fma.f64 1/24 (pow.f64 phi1 4) 1) (fma.f64 -1/2 (.f64 phi1 phi1) (*.f64 -1/720 (pow.f64 phi1 6)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))
(fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 phi2 phi2))))
(fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (.f64 (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 phi2 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (cos.f64 phi1) (.f64 (.f64 phi2 phi2) (*.f64 -1/2 (cos.f64 phi1)))))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi2 phi2)) 1) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2))))))
(fma.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4))) (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 phi2 phi2)))))
(fma.f64 1/24 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (.f64 (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 phi2 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/2 (*.f64 phi2 phi2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 6)))) (+.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))))
(fma.f64 -1/720 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 phi2 6)) (fma.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4))) (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 phi2 phi2))))))
(fma.f64 -1/720 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (pow.f64 phi2 6))) (fma.f64 1/24 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (.f64 (.f64 (.f64 -1/2 (cos.f64 phi1)) (.f64 phi2 phi2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (cos.f64 phi1) (.f64 (.f64 phi2 phi2) (.f64 -1/2 (cos.f64 phi1))))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 -1/720 (pow.f64 phi2 6)))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 phi2)) (.f64 -1/720 (pow.f64 phi2 6)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))
(+.f64 (.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 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 phi1)))) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 lambda2 -1/2)))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2)))))))
(.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.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 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (.f64 lambda1 lambda1))) (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 phi1)))) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (.f64 lambda1 lambda1))) (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 lambda2 -1/2))))))
(fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda1 (.f64 lambda1 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))))
(fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 lambda1 (.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))))))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (.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 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(fma.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)) (.f64 lambda1 lambda1))) (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 phi1)))) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(fma.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (.f64 lambda1 lambda1))) (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 lambda2 -1/2))) (.f64 (.f64 lambda1 (cos.f64 phi1)) (sin.f64 (.f64 lambda2 -1/2)))))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda1 (.f64 lambda1 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4)))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3)))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 (cos.f64 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3)))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))
(fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))
(.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 lambda1 -1/2))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(-.f64 (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 phi1))) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))
(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 lambda1 -1/2)))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.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 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 lambda2 3)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 phi1))) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 1/6 (pow.f64 lambda2 3))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (pow.f64 lambda2 3) 1/6)) (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 (.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (-.f64 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda2 3))) 1/6) (.f64 lambda2 (.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)))
(.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))

localize301.0ms (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))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 318 to 172 computations (45.9% saved)

series8.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite73.0ms (0%)

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)))))

simplify80.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-def_binary64`
471×	`distribute-rgt-neg-in_binary64`
434×	`distribute-lft-neg-in_binary64`
381×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	525
1	265	489
2	857	456
3	4188	439

Stop Event

1×	node limit

Counts

64 → 67

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))

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 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.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))
(+.f64 1 (-.f64 (fma.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (neg.f64 (.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (-.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 (.f64 lambda2 lambda2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))
(-.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) lambda2) (cos.f64 (.f64 1/2 lambda1)))) (.f64 lambda2 (.f64 lambda2 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) lambda2) (cos.f64 (.f64 1/2 lambda1)))) (.f64 lambda2 (.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (pow.f64 lambda2 3))) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 -1 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2)))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 1 (-.f64 (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6) (pow.f64 lambda2 3)) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (neg.f64 (.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))))) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) 1/6))) (pow.f64 lambda2 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (.f64 lambda2 lambda2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))
(+.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (fma.f64 (pow.f64 lambda2 3) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) -1/6) (.f64 lambda2 (-.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (.f64 lambda2 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))))
(+.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (-.f64 lambda2 (.f64 (pow.f64 lambda2 3) 1/6))) (.f64 lambda2 (.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4))))))
(-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) 1) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) 1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(fma.f64 (neg.f64 (sin.f64 (.f64 lambda2 -1/2))) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))) (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))
(.f64 (cos.f64 (.f64 lambda2 -1/2)) (+.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (neg.f64 (sin.f64 (*.f64 lambda2 -1/2))))))
(.f64 (cos.f64 (.f64 lambda2 -1/2)) (+.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (sin.f64 (*.f64 1/2 lambda2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) 1) (neg.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (.f64 lambda1 lambda1)))) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))
(fma.f64 (neg.f64 (sin.f64 (.f64 lambda2 -1/2))) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))) (+.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (neg.f64 (.f64 lambda1 lambda1))) (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))
(-.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (+.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (neg.f64 (sin.f64 (.f64 lambda2 -1/2)))))) (.f64 lambda1 (.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))))))
(-.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (+.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2))))) (.f64 lambda1 (.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (pow.f64 lambda1 3))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2)))) (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) -1/6) (pow.f64 lambda1 3)) (+.f64 1 (neg.f64 (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (.f64 lambda1 lambda1)))))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(-.f64 (-.f64 (-.f64 (-.f64 1 (.f64 lambda1 (.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))))) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 -1/6 (pow.f64 lambda1 3)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 lambda1 (cos.f64 (.f64 lambda2 -1/2))))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(fma.f64 -1 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6))) (fma.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2))) (.f64 lambda1 (neg.f64 lambda1)) (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)))
(+.f64 (fma.f64 (.f64 lambda1 lambda1) (.f64 -1/4 (+.f64 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (neg.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2)) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) (-.f64 (.f64 (pow.f64 lambda1 3) 1/6) lambda1)))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))

localize202.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 436 to 233 computations (46.6% saved)

series24.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	lambda1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
2.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
2.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))
2.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log1p-udef_binary64`
281×	`add-sqr-sqrt_binary64`
274×	`pow1_binary64`
273×	`*-un-lft-identity_binary64`
261×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	44
1	540	42
2	7490	42

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (neg.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 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 -1 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 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) (cos.f64 phi2))) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 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 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 (sin.f64 (*.f64 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 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2))))) 2)) (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 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 (sqrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2)))))) (sqrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda2 -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 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simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

582×	`sub-neg_binary64`
501×	`*-commutative_binary64`
427×	`cancel-sign-sub-inv_binary64`
340×	`associate-+l+_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2566
1	620	2526
2	2118	2488
3	6334	2488

Stop Event

1×	node limit

Counts

87 → 77

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))))))))))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 1 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))) (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (pow.f64 lambda2 3))) (+.f64 1 (+.f64 (.f64 -1/4 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 1/2 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))

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

localize464.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
	4.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 441 to 246 computations (44.2% saved)

localize362.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	1.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 563 to 353 computations (37.3% saved)

series27.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
4.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
4.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	phi1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`fma-def_binary64`
391×	`expm1-udef_binary64`
391×	`log1p-udef_binary64`
330×	`fma-neg_binary64`
224×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	437	29
2	5817	29

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify130.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
803×	`times-frac_binary64`
411×	`distribute-rgt-in_binary64`
409×	`distribute-lft-in_binary64`
295×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	4213
1	731	3886
2	2561	3726
3	7606	3726

Stop Event

1×	node limit

Counts

75 → 63

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (pow.f64 phi2 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (-.f64 (.f64 -1/720 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) 2)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 phi2 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 lambda1 3)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) 2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))

Outputs
(.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))))
(.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (.f64 (/.f64 (.f64 phi1 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/2) 1/4) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 phi1 phi1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/24) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4)))) (.f64 (/.f64 (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2)))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (+.f64 (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) 1/24)) (pow.f64 (/.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/48) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4))) (.f64 (/.f64 (.f64 phi1 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4))))))
(fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) 1/24) -1/48) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (.f64 (/.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/2) 1/4) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 1/2)) 2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 phi1 4) (.f64 (/.f64 (fma.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/2) 1/4) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (.f64 phi1 phi1)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 6) (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (+.f64 (.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (pow.f64 phi1 4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (pow.f64 phi1 6) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (+.f64 1/1440 (-.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/720) (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/24) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (cos.f64 phi2)) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/24) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (/.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))))) 2) 1/48)) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4)))) (.f64 (/.f64 (.f64 (.f64 phi1 phi1) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (/.f64 1 (cos.f64 phi2))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (.f64 (/.f64 (pow.f64 phi1 6) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (+.f64 1/1440 (fma.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/720 (.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4) (cos.f64 phi2)) (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) 1/24)) (pow.f64 (/.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/48) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (fma.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 phi2))) (+.f64 (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) 1/24)) (pow.f64 (/.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 phi2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 2)) -1/48) (/.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (pow.f64 phi1 4))) (.f64 (/.f64 (.f64 phi1 phi1) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1/4)))))))
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(fma.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(fma.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 1/2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (.f64 lambda1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))))) 2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (.f64 lambda2 1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (-.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 -1/2 lambda2))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) 2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 lambda1 3)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)))) (.f64 1/2 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 lambda1 (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 -1/2))) -1/6)) (.f64 -1/2 (/.f64 (sin.f64 (.f64 lambda2 -1/2)) (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (*.f64 lambda2 -1/2))))))))) (pow.f64 lambda1 3))))))
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (.f64 lambda1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))))) 2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (.f64 lambda1 (cos.f64 phi1)) (cos.f64 (.f64 lambda2 -1/2))))))) (.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) -1/6)) (.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 lambda2 -1/2)) (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 -1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2))))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (.f64 lambda2 -1/2))))))) 2))))))) (.f64 (pow.f64 lambda1 3) (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 lambda1 (+.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (.f64 lambda2 1/2)))))) 2)) lambda1) (.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 (.f64 lambda2 1/2)) -1/6))) (.f64 (/.f64 (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2))) (/.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (.f64 lambda2 1/2))))) (-.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 lambda2 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 1/2 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (.f64 lambda2 1/2)))))) 2)))) (pow.f64 lambda1 3)))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 lambda2 -1/2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (fma.f64 1/2 (.f64 lambda2 (.f64 lambda2 (-.f64 (.f64 (cos.f64 phi1) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (cos.f64 phi2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 phi2))))) 2)))) (.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) 2)) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (.f64 lambda2 lambda2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) 2)))) (fma.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (pow.f64 lambda2 3) (+.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6)) (.f64 1/2 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) 2))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (pow.f64 lambda2 3) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) 1/6) (.f64 1/2 (/.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (cos.f64 phi2))))) 2))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda2 lambda2) (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))) (cos.f64 phi2))))) 2)))) (.f64 (.f64 -1/2 (.f64 (cos.f64 phi2) lambda2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))))
(+.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 (.f64 1/2 (.f64 lambda2 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (cos.f64 phi2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 phi2))))) 2))) (fma.f64 -1/2 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 3) (fma.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) (/.f64 (/.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (cos.f64 phi2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 phi2))))) 2)))) (.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 lambda1)) (cos.f64 phi2))) 1/6))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))

eval3.8s (2.5%)

Compiler: Compiled 125518 to 81017 computations (35.5% saved)

prune996.0ms (0.7%)

Pruning

185 alts after pruning (185 fresh and 0 done)

	Pruned	Kept	Total
New	1409	132	1541
Fresh	67	53	120
Picked	1	0	1
Done	4	0	4
Total	1481	185	1666

Error

13.4b

Counts

1666 → 185

Alt Table

Click to see full alt table

Status	Error	Program
	37.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))))))
	16.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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▶	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
	16.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	41.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi1 phi1)) 1) (sin.f64 (.f64 -1/2 phi2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	22.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	16.6b	(.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 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))))))

Compiler

Compiled 26980 to 19760 computations (26.8% saved)

localize254.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
✓	1.6b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.5b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 656 to 417 computations (36.4% saved)

series33.0ms (0%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	lambda1	@	0	(cos.f64 (-.f64 lambda1 lambda2))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
1.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
1.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))
1.0ms	lambda1	@	-inf	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))

rewrite65.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`add-sqr-sqrt_binary64`
343×	`pow1_binary64`
342×	`*-un-lft-identity_binary64`
325×	`add-log-exp_binary64`
324×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	691	58

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

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

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

(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)) (neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)))) 2) (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 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simplify120.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

638×	`unsub-neg_binary64`
534×	`*-commutative_binary64`
398×	`cancel-sign-sub-inv_binary64`
382×	`associate--l+_binary64`
343×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	3722
1	738	3639
2	2509	3548
3	7291	3547

Stop Event

1×	node limit

Counts

155 → 149

Calls

Call 1

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

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

localize227.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	4.5b	(cos.f64 (.f64 2 (.f64 -1/2 (-.f64 lambda2 lambda1))))

Compiler

Compiled 339 to 190 computations (44% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite146.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
365×	`fma-def_binary64`
314×	`pow2_binary64`
305×	`pow-prod-down_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	269	16
2	3530	16

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8) (/.f64 1 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2) 1/4) (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8) (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8) (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4 (-.f64 1/4 (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8)) (neg.f64 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4))) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4 -1/4) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)) 3)))) (#(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 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 -1/2) 1/4) (fma.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/8 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))))

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

653×	`unsub-neg_binary64`
473×	`fma-def_binary64`
389×	`associate-+l+_binary64`
353×	`distribute-lft-neg-out_binary64`
353×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	700
1	243	602
2	653	561
3	2102	551
4	4004	547

Stop Event

1×	node limit

Counts

157 → 147

Calls

Call 1

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

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

localize353.0ms (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))
	4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 469 to 302 computations (35.6% saved)

localize339.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(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 phi2)) 2)))
	4.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 437 to 252 computations (42.3% saved)

series44.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	lambda2	@	inf	(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 phi2)) 2)))
3.0ms	phi1	@	0	(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 phi2)) 2)))
2.0ms	phi2	@	0	(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 phi2)) 2)))
2.0ms	phi1	@	inf	(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 phi2)) 2)))
2.0ms	lambda2	@	0	(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 phi2)) 2)))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`expm1-udef_binary64`
390×	`log1p-udef_binary64`
344×	`fma-def_binary64`
334×	`log-pow_binary64`
226×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	38
1	450	38
2	5395	37

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(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 phi2)) 2)))

Outputs

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

simplify153.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
435×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`
313×	`associate-/l*_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4113
1	632	3927
2	2361	3748

Stop Event

1×	node limit

Counts

75 → 63

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (pow.f64 phi1 4) (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (-.f64 (.f64 -1/720 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) 2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))) (pow.f64 phi1 6)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (pow.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sin.f64 (.f64 -1/2 phi2)))) 2)) (pow.f64 lambda1 2)) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1))) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/48 (sin.f64 (.f64 -1/2 lambda2))) (.f64 -1/16 (sin.f64 (.f64 -1/2 lambda2)))))) (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (pow.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sin.f64 (.f64 -1/2 phi2)))) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 lambda1 3)) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 phi1)))) (pow.f64 (.f64 1/4 (/.f64 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sin.f64 (.f64 -1/2 phi2)))) 2)) (pow.f64 lambda1 2)) (sin.f64 (.f64 -1/2 phi2)))) (sin.f64 (*.f64 -1/2 phi2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))))))
(sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))))) (sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))) 2))) (pow.f64 phi2 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))))) (sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))) 2))) (pow.f64 phi2 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (pow.f64 phi2 2) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))))) (+.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 (-.f64 (+.f64 1/1440 (.f64 -1/720 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 1/48 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))) 2))) (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (pow.f64 phi2 6)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/8 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) 2)))))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (pow.f64 lambda2 3) (-.f64 (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 -1/8 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))))) 2)))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/8 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) 2))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))))))

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

localize242.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
	4.1b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	4.4b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 473 to 265 computations (44% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite96.0ms (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 lambda2 lambda1))) 2))

Outputs

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

simplify72.0ms (0%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
515×	`associate-l_binary64`
450×	`unswap-sqr_binary64`
401×	`associate-r_binary64`
338×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	362
1	150	346
2	363	330
3	1082	320
4	3624	320
5	7093	320

Stop Event

1×	node limit

Counts

45 → 38

Calls

Call 1

Inputs
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 1/2 lambda1)))) (+.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 -1/2 (-.f64 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)))

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

eval1.7s (1.2%)

Compiler: Compiled 84627 to 54792 computations (35.3% saved)

prune752.0ms (0.5%)

Pruning

212 alts after pruning (212 fresh and 0 done)

	Pruned	Kept	Total
New	1065	88	1153
Fresh	56	124	180
Picked	1	0	1
Done	4	0	4
Total	1126	212	1338

Error

13.2b

Counts

1338 → 212

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	21.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 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)))))))))
	40.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 2))))))
	37.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))))))
	43.8b	(.f64 R (.f64 2 (atan2.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	37.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))
	49.7b	(.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 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 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	60.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))) (cos.f64 phi2))) 1/2))))))
	24.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (.f64 (exp.f64 (.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))))
	27.6b	(.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 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	30.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (+.f64 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 1/2 (-.f64 (-.f64 1 (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 lambda2)))))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda2)))))))))
	46.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	49.7b	(.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 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 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 (neg.f64 lambda1) -1/2))) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 (neg.f64 lambda1) -1/2)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
	27.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 3) (pow.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) 3))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) 2) (.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	16.6b	(.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 0 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
	51.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))) (pow.f64 (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))))))
	48.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (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 (cos.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) lambda2) (cos.f64 (.f64 1/2 lambda1))))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 -1/2 lambda2)))))))))

Compiler

Compiled 15040 to 11121 computations (26.1% saved)

regimes8.7s (5.8%)

Counts

384 → 1

Calls

Call 1

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

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

Calls

15 calls:

847.0ms	phi2
764.0ms	phi1
695.0ms	(+.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))))
657.0ms	(.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))))))))
620.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
14.3b	1	`R`
14.3b	1	`lambda1`
14.3b	1	`lambda2`
14.3b	1	`phi1`
14.3b	1	`phi2`
14.3b	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)))))))))`
14.3b	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))))))))`
14.3b	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)))))))`
14.3b	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))))`
14.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
14.3b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
14.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
14.3b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
14.3b	1	`(-.f64 lambda1 lambda2)`
14.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 26004 to 16417 computations (36.9% saved)

regimes6.4s (4.3%)

Counts

367 → 1

Calls

Call 1

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

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

Calls

15 calls:

736.0ms	(-.f64 lambda1 lambda2)
407.0ms	lambda2
371.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
333.0ms	lambda1
330.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
14.7b	1	`R`
14.7b	1	`lambda1`
14.7b	1	`lambda2`
14.7b	1	`phi1`
14.7b	1	`phi2`
14.7b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
14.7b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
14.7b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
14.7b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
14.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
14.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
14.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
14.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
14.7b	1	`(-.f64 lambda1 lambda2)`
14.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 24103 to 15142 computations (37.2% saved)

regimes16.1s (10.7%)

Counts

338 → 2

Calls

Call 1

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

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

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

Calls

14 calls:

2.0s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.9s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.4s	phi2
1.4s	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.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)))))))))
1.1s	phi1

Results

Error	Segments	Branch
21.7b	4	`R`
14.7b	2	`lambda1`
14.8b	2	`lambda2`
18.4b	4	`phi1`
20.1b	3	`phi2`
21.0b	4	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.7b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.7b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.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)))))))`
23.1b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.9b	5	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
19.9b	5	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21522 to 13408 computations (37.7% saved)

bsearch400.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
391.0ms	-0.06840187838482101	-2.6773182624809096e-9

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes9.4s (6.2%)

Counts

337 → 2

Calls

Call 1

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

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

Calls

14 calls:

1.2s	R
770.0ms	phi1
671.0ms	(.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)))))))))
595.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
567.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
22.1b	4	`R`
19.8b	2	`lambda1`
18.6b	2	`lambda2`
19.4b	3	`phi1`
21.2b	2	`phi2`
22.3b	2	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.7b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.7b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.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)))))))`
23.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.3b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.3b	2	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21437 to 13349 computations (37.7% saved)

bsearch464.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
456.0ms	9.034358536975762e-8	1.9918286396908547e-7

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes10.7s (7.1%)

Counts

336 → 2

Calls

Call 1

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

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

Calls

14 calls:

1.7s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.4s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
837.0ms	(+.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))))
833.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
762.0ms	lambda1

Results

Error	Segments	Branch
24.4b	1	`R`
23.1b	2	`lambda1`
24.4b	1	`lambda2`
21.9b	2	`phi1`
21.8b	2	`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)))))))`
23.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21353 to 13291 computations (37.8% saved)

bsearch387.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
376.0ms	0.12433434905456593	1.7250951316660719

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes9.6s (6.4%)

Counts

335 → 2

Calls

Call 1

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

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

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

Calls

14 calls:

1.7s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.1s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
979.0ms	lambda1
636.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
623.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
24.4b	1	`R`
23.1b	2	`lambda1`
24.4b	1	`lambda2`
22.0b	2	`phi1`
21.9b	2	`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)))))))`
23.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21270 to 13233 computations (37.8% saved)

bsearch482.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
473.0ms	2.3139365307468438e-77	7.691943164246731e-75

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes11.1s (7.4%)

Counts

334 → 3

Calls

Call 1

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

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

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

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

Calls

14 calls:

1.6s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.4s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
999.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
871.0ms	(-.f64 lambda1 lambda2)
861.0ms	phi1

Results

Error	Segments	Branch
24.4b	1	`R`
22.7b	3	`lambda1`
24.4b	1	`lambda2`
21.6b	3	`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)))))))`
23.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21187 to 13175 computations (37.8% saved)

bsearch776.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
377.0ms	3.795028448498914e-52	6.688316931096723e-5
390.0ms	-1.2041339078037209e-6	-5.14549920165442e-12

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes10.2s (6.8%)

Counts

333 → 4

Calls

Call 1

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

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

Calls

14 calls:

1.7s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.6s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
949.0ms	phi1
862.0ms	(-.f64 lambda1 lambda2)
774.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
24.4b	1	`R`
22.7b	3	`lambda1`
24.4b	1	`lambda2`
21.7b	4	`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)))))))`
23.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21104 to 13117 computations (37.8% saved)

bsearch1.3s (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
519.0ms	5.59928851754735e+199	1.1264638349227049e+212
371.0ms	3.795028448498914e-52	6.688316931096723e-5
391.0ms	-1.2041339078037209e-6	-5.14549920165442e-12

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes4.1s (2.8%)

Counts

332 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

323.0ms	phi1
322.0ms	R
308.0ms	lambda1
289.0ms	(+.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))))
288.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Results

Error	Segments	Branch
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 21000 to 13042 computations (37.9% saved)

regimes4.1s (2.7%)

Counts

286 → 1

Calls

Call 1

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

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

Calls

14 calls:

289.0ms	(-.f64 lambda1 lambda2)
287.0ms	(+.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))))
279.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
262.0ms	(.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))))))))
257.0ms	(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)))))))

Results

Error	Segments	Branch
24.6b	1	`R`
24.6b	1	`lambda1`
24.6b	1	`lambda2`
24.6b	1	`phi1`
24.6b	1	`phi2`
24.6b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
24.6b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
24.6b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
24.6b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
24.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 17634 to 10948 computations (37.9% saved)

regimes3.3s (2.2%)

Counts

245 → 1

Calls

Call 1

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

Calls

12 calls:

260.0ms	(-.f64 lambda1 lambda2)
242.0ms	lambda2
240.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
234.0ms	phi1
222.0ms	(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

Results

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

Compiler

Compiled 14668 to 9083 computations (38.1% saved)

regimes1.4s (1%)

Counts

100 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

174.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
164.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
138.0ms	phi1
122.0ms	lambda1
120.0ms	phi2

Results

Error	Segments	Branch
27.5b	1	`R`
25.1b	2	`lambda1`
27.5b	1	`lambda2`
24.9b	2	`phi1`
24.8b	2	`phi2`
25.1b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.1b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
25.1b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.1b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
25.1b	2	`(-.f64 lambda1 lambda2)`
25.1b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5215 to 3310 computations (36.5% saved)

bsearch337.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
334.0ms	6.1670556096165425e-27	8.588101914576835e-18

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes1.8s (1.2%)

Counts

79 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

286.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
277.0ms	(-.f64 lambda1 lambda2)
264.0ms	(-.f64 lambda1 lambda2)
169.0ms	lambda2
147.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
31.7b	3	`R`
31.1b	2	`lambda1`
30.7b	3	`lambda2`
25.3b	2	`phi1`
24.8b	2	`phi2`
29.9b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
27.9b	6	`(/.f64 (-.f64 lambda1 lambda2) 2)`
27.9b	6	`(-.f64 lambda1 lambda2)`
27.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3984 to 2516 computations (36.8% saved)

bsearch346.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
344.0ms	5.430361422659506e-7	0.0009433684202112853

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes1.3s (0.9%)

Counts

78 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

190.0ms	(-.f64 lambda1 lambda2)
186.0ms	lambda2
174.0ms	(-.f64 lambda1 lambda2)
155.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
135.0ms	lambda1

Results

Error	Segments	Branch
33.2b	3	`R`
32.0b	2	`lambda1`
30.8b	4	`lambda2`
25.4b	2	`phi1`
25.4b	2	`phi2`
30.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
29.3b	4	`(/.f64 (-.f64 lambda1 lambda2) 2)`
29.3b	4	`(-.f64 lambda1 lambda2)`
29.3b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3931 to 2484 computations (36.8% saved)

bsearch363.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
361.0ms	-3.509010712628647e-15	-7.099534444460325e-19

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes1.1s (0.7%)

Counts

75 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

160.0ms	phi1
158.0ms	R
146.0ms	lambda2
135.0ms	lambda1
125.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
34.6b	3	`R`
32.8b	2	`lambda1`
31.2b	4	`lambda2`
30.0b	3	`phi1`
28.2b	2	`phi2`
31.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
31.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
31.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3768 to 2380 computations (36.8% saved)

bsearch336.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
334.0ms	7.691943164246731e-75	3.9749063077831126e-66

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes224.0ms (0.1%)

Calls

2 calls:

86.0ms	(-.f64 lambda1 lambda2)
31.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
31.6b	2	`(-.f64 lambda1 lambda2)`

Results

Compiler

Compiled 3574 to 2250 computations (37% saved)