Details

analyze4.1s (2.7%)

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)

sample20.6s (13.7%)

Results

15.5s	5466×	body	1024	valid
2.2s	405×	body	2048	valid
2.1s	1311×	body	512	valid
792.0ms	1074×	body	256	valid
5.0ms	2×	body	1024	invalid
4.0ms	3×	body	512	invalid

preprocess104.0ms (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)

simplify79.0ms (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)

prune3.0ms (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

21.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.6b	(.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))))))
▶	22.4b	(.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 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Status

Error

Program

▶

41.6b

(*.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))))))

▶

22.4b

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

Compiler

Compiled 138 to 92 computations (33.3% saved)

localize177.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series37.0ms (0%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	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)))))
4.0ms	lambda2	@	-inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms	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)))))
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 (-.f64 lambda1 lambda2) 2)))))
2.0ms	phi1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite105.0ms (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))))))

simplify104.0ms (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)

localize292.0ms (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))))
✓	1.9b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
✓	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 438 to 236 computations (46.1% saved)

series12.0ms (0%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	lambda2	@	0	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
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)))
0.0ms	lambda1	@	inf	(.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))

rewrite114.0ms (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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simplify81.0ms (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))))

eval1.6s (1%)

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

prune460.0ms (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

20.6b

Counts

654 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 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))))))
	41.6b	(.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))))))
	42.6b	(.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 (log.f64 (exp.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))))))
	22.4b	(.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 (-.f64 1 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)) (+.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))))
	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)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	22.4b	(.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 (-.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))))))))
	23.6b	(.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)))))))))
	34.2b	(.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))) (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))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.3b	(.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 -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)))))))))
	33.9b	(.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)))))))))
	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
	35.5b	(.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)) (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)))))))))
	45.8b	(.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 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
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	39.5b	(.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 (+.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)))))))))
	32.3b	(.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 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (.f64 (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))))))
	41.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 (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))))))
	22.4b	(.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 (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)))))))))
	34.0b	(.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)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.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)))))))))
	22.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (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)))))))))
	41.6b	(.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))))))
	22.4b	(.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 (-.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)))))))))
▶	21.9b	(.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 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 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (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)))))))))
	22.4b	(.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 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
	23.7b	(.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)))))))))
	35.8b	(.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 (-.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)))))))
	22.4b	(.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 (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)))))))
	22.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.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))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 13062 to 9014 computations (31% saved)

localize257.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 582 to 354 computations (39.2% saved)

series21.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite80.0ms (0.1%)

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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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))))))

simplify263.0ms (0.2%)

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

localize183.0ms (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)))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 212 computations (44.4% saved)

series19.0ms (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	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)))
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)))
1.0ms	phi2	@	0	(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
1.0ms	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)))

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

Outputs

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

simplify75.0ms (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))

localize276.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	1.9b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	6.7b	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))

Compiler

Compiled 458 to 242 computations (47.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	phi1	@	0	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
0.0ms	phi2	@	0	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
0.0ms	phi1	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
0.0ms	phi2	@	inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
0.0ms	phi1	@	0	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`prod-diff_binary64`
434×	`log-prod_binary64`
335×	`exp-prod_binary64`
260×	`pow2_binary64`
255×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	21
2	2638	21

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 5) (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 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (sqrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(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 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 (neg.f64 phi2) 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 (neg.f64 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 (neg.f64 phi2)))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 (neg.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sin.f64 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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/18)))) (#(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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (sqrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 1/3))))))

simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-+l+_binary64`
604×	`fma-def_binary64`
387×	`distribute-lft-out_binary64`
375×	`associate-+r+_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	910
1	286	895
2	822	839
3	3441	828
4	7808	828

Stop Event

1×	node limit

Counts

134 → 124

Calls

Call 1

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

localize281.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	3.5b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 495 to 260 computations (47.5% 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	lambda2	@	-inf	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms	lambda1	@	-inf	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms	lambda1	@	inf	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))

rewrite52.0ms (0%)

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))))))))

simplify72.0ms (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)))

localize345.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
	0.6b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 605 to 361 computations (40.3% saved)

eval2.8s (1.9%)

Compiler: Compiled 121710 to 75772 computations (37.7% saved)

prune1.0s (0.7%)

Pruning

125 alts after pruning (125 fresh and 0 done)

	Pruned	Kept	Total
New	1461	84	1545
Fresh	41	41	82
Picked	1	0	1
Done	4	0	4
Total	1507	125	1632

Error

12.3b

Counts

1632 → 125

Alt Table

Click to see full alt table

Status	Error	Program
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 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))))))
	41.6b	(.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))))))
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	39.1b	(.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)) (+.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)))))))))
▶	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))))))
	22.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))))
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	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 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)))))))
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▶	41.2b	(.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 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
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	33.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.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)))))))))
	30.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (+.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)))))))
	41.6b	(.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) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 3)) 1))))))
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	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 (neg.f64 phi2) 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 (neg.f64 phi2) 1/2)))) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	41.6b	(.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))))))
	37.0b	(.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)) (-.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 (.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)))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (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)))))))))
	30.9b	(.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 (fma.f64 (.f64 (neg.f64 (cos.f64 phi2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))
	22.4b	(.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 (-.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)))))))))
	22.4b	(.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 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
	31.5b	(.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)))))))))
	21.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
	31.7b	(.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)) (-.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	22.4b	(.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 (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)))))))

Compiler

Compiled 18580 to 13266 computations (28.6% saved)

localize348.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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)
	0.6b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 584 to 377 computations (35.4% saved)

series32.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	lambda2	@	inf	(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms	phi1	@	0	(.f64 (.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)))

rewrite80.0ms (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))))))

simplify136.0ms (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)))

localize181.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 318 to 172 computations (45.9% saved)

series3.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify72.0ms (0%)

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))

localize260.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 420 to 239 computations (43.1% saved)

localize210.0ms (0.1%)

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))))
	1.9b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 434 to 242 computations (44.2% saved)

localize319.0ms (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))))
	1.9b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 473 to 262 computations (44.6% saved)

eval3.5s (2.4%)

Compiler: Compiled 99452 to 64568 computations (35.1% saved)

prune1.2s (0.8%)

Pruning

183 alts after pruning (183 fresh and 0 done)

	Pruned	Kept	Total
New	1192	97	1289
Fresh	34	86	120
Picked	1	0	1
Done	4	0	4
Total	1231	183	1414

Error

12.0b

Counts

1414 → 183

Alt Table

Click to see full alt table

Status	Error	Program
	14.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.3b	(.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 (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)))))))))
	42.6b	(.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 (log.f64 (exp.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))))))
	39.5b	(.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)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.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)))))))
	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)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	22.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 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)))))))))
	47.8b	(.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)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
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	33.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	41.9b	(.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))) (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	50.0b	(.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 (.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))))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	41.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)))))
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	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 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
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	42.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
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	27.8b	(.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 (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)))))))))
	22.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 (neg.f64 phi2) 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 (neg.f64 phi2) 1/2)))) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	41.1b	(.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 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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	47.6b	(.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 (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)))))) (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))))))
	41.1b	(.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 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3))))))
	28.4b	(.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 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)))))))))
	22.4b	(.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 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
	21.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
	49.1b	(.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)) (+.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))))))
	41.9b	(.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 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	41.2b	(.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)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	22.4b	(.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 (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)))))))
	52.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	41.4b	(.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 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))

Compiler

Compiled 27840 to 20374 computations (26.8% saved)

localize557.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
✓	1.7b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 670 to 422 computations (37% saved)

series61.0ms (0%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
42.0ms	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) (log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (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) (log1p.f64 (expm1.f64 (.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) (log1p.f64 (expm1.f64 (.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) (log1p.f64 (expm1.f64 (.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) (log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))

rewrite67.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`add-sqr-sqrt_binary64`
340×	`pow1_binary64`
338×	`*-un-lft-identity_binary64`
323×	`expm1-log1p-u_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	661	58

Stop Event

1×	node limit

Counts

3 → 79

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

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simplify143.0ms (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

159 → 153

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

localize163.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	3.6b	(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	lambda1	@	0	(+.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))))))
0.0ms	lambda2	@	inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
0.0ms	lambda1	@	inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))

rewrite78.0ms (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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(*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1 (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2 (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))))

((#(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)))))

simplify68.0ms (0%)

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)

localize193.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(cos.f64 (-.f64 phi1 phi2))
	1.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	2.3b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 442 to 222 computations (49.8% saved)

series7.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`prod-diff_binary64`
457×	`log-prod_binary64`
268×	`pow2_binary64`
263×	`fma-def_binary64`
258×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	192	18
2	2703	16

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)) 2) (cbrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 3))) (/.f64 1 (fma.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (fma.f64 1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 2))) (/.f64 1 (fma.f64 1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 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simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
542×	`fma-def_binary64`
427×	`*-commutative_binary64`
401×	`neg-sub0_binary64`
366×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	532
1	245	500
2	700	432
3	2820	421
4	7443	421

Stop Event

1×	node limit

Counts

140 → 145

Calls

Call 1

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

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi2)))
(+.f64 1/2 (*.f64 (cos.f64 phi2) -1/2))
(fma.f64 (cos.f64 phi2) -1/2 1/2)
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 phi1 (sin.f64 (neg.f64 phi2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (.f64 (.f64 1/2 phi1) (neg.f64 (sin.f64 phi2))) (*.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (.f64 1/2 (-.f64 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (cos.f64 phi2))))
(fma.f64 (cos.f64 phi2) -1/2 (fma.f64 phi1 (*.f64 -1/2 (sin.f64 phi2)) 1/2))
(-.f64 1/2 (*.f64 1/2 (fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 1/4 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (fma.f64 1/2 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (.f64 1/4 (cos.f64 phi2)) (.f64 phi1 phi1))) (*.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 phi1 phi1) 1/4)) (.f64 1/2 (-.f64 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (cos.f64 phi2)))))
(+.f64 (fma.f64 phi1 (.f64 -1/2 (sin.f64 phi2)) 1/2) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/4 (.f64 phi1 phi1)) -1/2)))
(+.f64 (fma.f64 phi1 (.f64 -1/2 (sin.f64 phi2)) 1/2) (.f64 (cos.f64 phi2) (fma.f64 phi1 (*.f64 phi1 1/4) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 1/4 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (fma.f64 -1/12 (.f64 (neg.f64 (sin.f64 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (.f64 1/4 (cos.f64 phi2)) (.f64 phi1 phi1)))) (.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 phi1 phi1) 1/4)) (.f64 (neg.f64 (sin.f64 phi2)) (+.f64 (.f64 -1/12 (pow.f64 phi1 3)) (.f64 1/2 phi1)))) (*.f64 (cos.f64 phi2) -1/2)))
(+.f64 1/2 (fma.f64 (neg.f64 (sin.f64 phi2)) (fma.f64 -1/12 (pow.f64 phi1 3) (.f64 1/2 phi1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/4 (.f64 phi1 phi1)) -1/2))))
(+.f64 1/2 (-.f64 (.f64 (cos.f64 phi2) (fma.f64 phi1 (.f64 phi1 1/4) -1/2)) (.f64 (sin.f64 phi2) (fma.f64 -1/12 (pow.f64 phi1 3) (.f64 1/2 phi1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 (cos.f64 phi1) -1/2 1/2)
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 phi1))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (fma.f64 -1/2 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi1) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2)) (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (.f64 phi2 (sin.f64 phi1)) (.f64 (.f64 1/4 (cos.f64 phi1)) (.f64 phi2 phi2))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (.f64 phi2 phi2))) (fma.f64 -1/2 (.f64 phi2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) -1/2))))
(+.f64 1/2 (fma.f64 phi2 (.f64 -1/2 (sin.f64 phi1)) (.f64 (cos.f64 phi1) (-.f64 (.f64 phi2 (.f64 phi2 1/4)) 1/2))))
(+.f64 1/2 (fma.f64 phi2 (.f64 -1/2 (sin.f64 phi1)) (.f64 (cos.f64 phi1) (fma.f64 phi2 (*.f64 phi2 1/4) -1/2))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) phi2)) (+.f64 (.f64 1/4 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (.f64 1/12 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (.f64 phi2 (sin.f64 phi1)) (fma.f64 1/4 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) (.f64 (.f64 1/12 (sin.f64 phi1)) (pow.f64 phi2 3)))) (.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (+.f64 (fma.f64 1/4 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) (.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 3) 1/12))) (fma.f64 -1/2 (.f64 phi2 (sin.f64 phi1)) (.f64 (cos.f64 phi1) -1/2))))
(+.f64 (+.f64 1/2 (.f64 (sin.f64 phi1) (+.f64 (.f64 phi2 -1/2) (.f64 1/12 (pow.f64 phi2 3))))) (.f64 (cos.f64 phi1) (-.f64 (.f64 phi2 (.f64 phi2 1/4)) 1/2)))
(+.f64 1/2 (+.f64 (.f64 (cos.f64 phi1) (fma.f64 phi2 (.f64 phi2 1/4) -1/2)) (.f64 (sin.f64 phi1) (+.f64 (.f64 1/12 (pow.f64 phi2 3)) (*.f64 phi2 -1/2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(cos.f64 (neg.f64 phi2))
(cos.f64 phi2)
(+.f64 (cos.f64 (neg.f64 phi2)) (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 phi2) (*.f64 (neg.f64 phi1) (neg.f64 (sin.f64 phi2))))
(-.f64 (cos.f64 phi2) (*.f64 phi1 (neg.f64 (sin.f64 phi2))))
(fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 phi2) (fma.f64 -1 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (.f64 (cos.f64 phi2) (.f64 phi1 phi1)) -1/2)))
(+.f64 (cos.f64 phi2) (fma.f64 (neg.f64 phi1) (neg.f64 (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (*.f64 phi1 phi1) -1/2))))
(fma.f64 (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2) (fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (.f64 phi1 (fma.f64 (cos.f64 phi2) (.f64 phi1 -1/2) (sin.f64 phi2))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (neg.f64 phi2)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(+.f64 (cos.f64 phi2) (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 phi2)) (pow.f64 phi1 3)) (fma.f64 -1 (.f64 phi1 (neg.f64 (sin.f64 phi2))) (.f64 (.f64 (cos.f64 phi2) (*.f64 phi1 phi1)) -1/2))))
(+.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2)) (.f64 (neg.f64 (sin.f64 phi2)) (+.f64 (*.f64 (pow.f64 phi1 3) 1/6) (neg.f64 phi1)))))
(fma.f64 (neg.f64 (sin.f64 phi2)) (-.f64 (.f64 (pow.f64 phi1 3) 1/6) phi1) (fma.f64 (cos.f64 phi2) (.f64 (*.f64 phi1 phi1) -1/2) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2) (.f64 (sin.f64 phi2) (-.f64 phi1 (.f64 (pow.f64 phi1 3) 1/6)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))
(fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 phi1) (.f64 phi2 phi2)) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1)))
(fma.f64 phi2 (sin.f64 phi1) (.f64 (+.f64 (.f64 phi2 (*.f64 phi2 -1/2)) 1) (cos.f64 phi1)))
(fma.f64 phi2 (sin.f64 phi1) (fma.f64 (cos.f64 phi1) (.f64 phi2 (.f64 phi2 -1/2)) (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(fma.f64 -1/6 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 -1/2 (.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))))
(fma.f64 (.f64 (sin.f64 phi1) (pow.f64 phi2 3)) -1/6 (fma.f64 -1/2 (.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(fma.f64 (cos.f64 phi1) (.f64 phi2 (.f64 phi2 -1/2)) (fma.f64 (sin.f64 phi1) (*.f64 (pow.f64 phi2 3) -1/6) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(+.f64 (fma.f64 (cos.f64 phi1) (.f64 phi2 (.f64 phi2 -1/2)) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (+.f64 (.f64 (pow.f64 phi2 3) -1/6) phi2)))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))

localize254.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
	1.9b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	3.5b	(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 420 to 242 computations (42.4% saved)

series19.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite125.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
334×	`expm1-udef_binary64`
334×	`log1p-udef_binary64`
303×	`fma-def_binary64`
285×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	391	33
2	4645	32

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

Outputs

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

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
481×	`cancel-sign-sub-inv_binary64`
445×	`*-commutative_binary64`
382×	`distribute-lft-in_binary64`
382×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2609
1	501	2480
2	1605	2379
3	6454	2370

Stop Event

1×	node limit

Counts

63 → 54

Calls

Call 1

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

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

localize306.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.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)
	0.6b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 644 to 410 computations (36.3% saved)

eval3.1s (2.1%)

Compiler: Compiled 111109 to 70204 computations (36.8% saved)

prune1.1s (0.7%)

Pruning

211 alts after pruning (211 fresh and 0 done)

	Pruned	Kept	Total
New	1292	109	1401
Fresh	76	102	178
Picked	1	0	1
Done	4	0	4
Total	1373	211	1584

Error

11.9b

Counts

1584 → 211

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.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))))) (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)))))))))
	41.2b	(.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 1/2 (.f64 1/2 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
	39.5b	(.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)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi1) (.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.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)))))))
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	22.4b	(.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 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) (.f64 (neg.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
	20.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
	31.5b	(.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)))))))))
	21.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
	41.9b	(.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 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
	44.0b	(.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))))))))))
	47.8b	(.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)) (+.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))))))))))

Compiler

Compiled 15573 to 11408 computations (26.7% saved)

regimes7.9s (5.3%)

Counts

379 → 1

Calls

Call 1

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

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) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (/.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)))))))))))))))))

Calls

15 calls:

768.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
639.0ms	(.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))))))))
619.0ms	lambda1
518.0ms	lambda2
501.0ms	phi2

Results

Error	Segments	Branch
13.0b	1	`R`
13.0b	1	`lambda1`
13.0b	1	`lambda2`
13.0b	1	`phi1`
13.0b	1	`phi2`
13.0b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.0b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.0b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.0b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.0b	1	`(-.f64 lambda1 lambda2)`
13.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 26372 to 16513 computations (37.4% saved)

regimes6.7s (4.4%)

Counts

375 → 1

Calls

Call 1

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

536.0ms	R
428.0ms	(-.f64 lambda1 lambda2)
384.0ms	lambda1
381.0ms	(-.f64 lambda1 lambda2)
334.0ms	phi1

Results

Error	Segments	Branch
13.0b	1	`R`
13.0b	1	`lambda1`
13.0b	1	`lambda2`
13.0b	1	`phi1`
13.0b	1	`phi2`
13.0b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
13.0b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
13.0b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
13.0b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
13.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
13.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
13.0b	1	`(-.f64 lambda1 lambda2)`
13.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 25711 to 16069 computations (37.5% saved)

regimes8.8s (5.9%)

Counts

363 → 1

Calls

Call 1

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

Calls

14 calls:

710.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
602.0ms	(-.f64 lambda1 lambda2)
583.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
577.0ms	(.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)))))))))
577.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

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

Compiler

Compiled 24334 to 15174 computations (37.6% saved)

regimes6.6s (4.4%)

Counts

337 → 1

Calls

Call 1

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

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:

625.0ms	(-.f64 lambda1 lambda2)
446.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
427.0ms	R
381.0ms	(.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)))))))))
378.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

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

Compiler

Compiled 21971 to 13613 computations (38% saved)

regimes11.8s (7.9%)

Counts

318 → 2

Calls

Call 1

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

15 calls:

1.1s	phi1
1.0s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
973.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
889.0ms	R
875.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))

Results

Error	Segments	Branch
20.8b	2	`R`
13.5b	2	`lambda1`
13.5b	2	`lambda2`
15.4b	5	`phi1`
17.6b	2	`phi2`
20.8b	2	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
20.3b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
20.3b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
20.5b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
17.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.6b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.6b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.6b	2	`(-.f64 lambda1 lambda2)`
17.6b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20318 to 12516 computations (38.4% saved)

bsearch537.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
528.0ms	2.9832036206437146e-43	1.9096764489000752e-42

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes14.9s (10%)

Counts

317 → 2

Calls

Call 1

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

Calls

15 calls:

1.5s	lambda1
1.4s	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
1.2s	phi1
1.1s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.0s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
21.9b	1	`R`
17.0b	5	`lambda1`
15.7b	2	`lambda2`
16.4b	3	`phi1`
17.6b	2	`phi2`
21.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
20.8b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
20.8b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
20.8b	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))))`
17.7b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.7b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.7b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.7b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.7b	2	`(-.f64 lambda1 lambda2)`
17.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20233 to 12457 computations (38.4% saved)

bsearch590.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
582.0ms	5.672956604494758e-26	4.1069067387287874e-20

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes10.7s (7.1%)

Counts

316 → 2

Calls

Call 1

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

1.5s	lambda1
1.3s	(/.f64 (-.f64 lambda1 lambda2) 2)
915.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
797.0ms	(-.f64 lambda1 lambda2)
791.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
21.9b	1	`R`
19.1b	5	`lambda1`
20.2b	2	`lambda2`
17.7b	2	`phi1`
17.6b	2	`phi2`
21.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
20.8b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
20.8b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
20.8b	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))))`
17.7b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.7b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.7b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.7b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.7b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20141 to 12393 computations (38.5% saved)

bsearch391.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
383.0ms	5.166653283117661e-12	7.046786476153841e-9

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes8.5s (5.7%)

Counts

315 → 3

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) (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 -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 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 (-.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 (-.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 -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 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 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 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 1/2 (.f64 1/2 (+.f64 (cos.f64 (.f64 -1 lambda2)) (.f64 -1 (.f64 (sin.f64 (.f64 -1 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 (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.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 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 1/2 phi2))))) (.f64 (.f64 (cos.f64 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)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 (neg.f64 phi2) 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 (neg.f64 phi2) 1/2)))) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.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 (-.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 1/2 (.f64 (cos.f64 (.f64 -1/2 lambda2)) lambda1)) (sin.f64 (.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (cos.f64 (.f64 1/2 phi2))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (.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 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 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 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 lambda1)) (.f64 (cos.f64 phi2) (+.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)))))) (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 (sin.f64 (.f64 phi1 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 (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)))) 3)))))
(.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 (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 (-.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 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.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))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 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))))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (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)) (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 (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 (-.f64 (.f64 (sin.f64 (.f64 phi1 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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.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))))) (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (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	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
890.0ms	lambda1
829.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
598.0ms	phi1
577.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
21.9b	1	`R`
20.3b	3	`lambda1`
20.2b	2	`lambda2`
18.4b	2	`phi1`
21.9b	1	`phi2`
21.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.9b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.9b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.9b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
17.8b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.8b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.8b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.8b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.8b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20058 to 12335 computations (38.5% saved)

bsearch9.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.20123021605980423	0.2352166217266791
0.0ms	-0.0004481092353581467	-2.8122620281704333e-8

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes8.0s (5.4%)

Counts

314 → 3

Calls

Call 1

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

762.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
761.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
750.0ms	lambda1
583.0ms	(-.f64 lambda1 lambda2)
548.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
21.9b	1	`R`
20.3b	3	`lambda1`
20.2b	2	`lambda2`
18.7b	2	`phi1`
21.9b	1	`phi2`
21.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.9b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.9b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.9b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
17.8b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.8b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
17.8b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.8b	2	`(/.f64 (-.f64 lambda1 lambda2) 2)`
17.8b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 19975 to 12277 computations (38.5% saved)

bsearch9.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.20123021605980423	0.2352166217266791
0.0ms	-0.0004481092353581467	-2.8122620281704333e-8

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes4.1s (2.7%)

Counts

313 → 1

Calls

Call 1

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

306.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
304.0ms	lambda1
295.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
291.0ms	(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
290.0ms	phi2

Results

Error	Segments	Branch
21.9b	1	`R`
21.9b	1	`lambda1`
21.9b	1	`lambda2`
21.9b	1	`phi1`
21.9b	1	`phi2`
21.9b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
21.9b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
21.9b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.9b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
21.9b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
21.9b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
21.9b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 19871 to 12202 computations (38.6% saved)

regimes3.8s (2.5%)

Counts

272 → 1

Calls

Call 1

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

Calls

14 calls:

255.0ms	(.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))))))))
252.0ms	phi1
246.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
243.0ms	phi2
235.0ms	(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
22.0b	1	`R`
22.0b	1	`lambda1`
22.0b	1	`lambda2`
22.0b	1	`phi1`
22.0b	1	`phi2`
22.0b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.0b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.0b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
22.0b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
22.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 16826 to 10316 computations (38.7% saved)

regimes3.8s (2.5%)

Counts

256 → 1

Calls

Call 1

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

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 (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))))))

Calls

14 calls:

264.0ms	(+.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))))
261.0ms	(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)))))))
258.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
235.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
226.0ms	lambda1

Results

Error	Segments	Branch
22.1b	1	`R`
22.1b	1	`lambda1`
22.1b	1	`lambda2`
22.1b	1	`phi1`
22.1b	1	`phi2`
22.1b	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)))))))))`
22.1b	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))))))))`
22.1b	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)))))))`
22.1b	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))))`
22.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.1b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
22.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.1b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
22.1b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 15604 to 9539 computations (38.9% saved)

regimes2.9s (1.9%)

Counts

245 → 1

Calls

Call 1

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

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:

214.0ms	(+.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))))
210.0ms	(-.f64 lambda1 lambda2)
209.0ms	(.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))))))))
206.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
201.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

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

Compiler

Compiled 14816 to 9054 computations (38.9% saved)

regimes801.0ms (0.5%)

Counts

101 → 2

Calls

Call 1

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

8 calls:

131.0ms	phi1
108.0ms	phi2
67.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
65.0ms	lambda2
64.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
23.6b	1	`R`
23.6b	1	`lambda1`
23.6b	1	`lambda2`
22.1b	2	`phi1`
22.0b	2	`phi2`
23.6b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.6b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5253 to 3269 computations (37.8% saved)

bsearch389.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
386.0ms	5.166653283117661e-12	7.046786476153841e-9

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes631.0ms (0.4%)

Counts

84 → 2

Calls

Call 1

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

5 calls:

137.0ms	phi2
105.0ms	lambda1
103.0ms	phi1
90.0ms	lambda2
53.0ms	R

Results

Error	Segments	Branch
33.7b	1	`R`
30.9b	2	`lambda1`
30.8b	2	`lambda2`
31.0b	2	`phi1`
30.6b	2	`phi2`

Compiler

Compiled 4220 to 2645 computations (37.3% saved)

bsearch359.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
357.0ms	7.046786476153841e-9	1.6903410713415965e-6

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes371.0ms (0.2%)

Counts

78 → 1

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	lambda2
54.0ms	R
48.0ms	phi1
48.0ms	lambda1
39.0ms	phi2

Results

Error	Segments	Branch
40.8b	1	`R`
40.8b	1	`lambda1`
40.8b	1	`lambda2`
40.8b	1	`phi1`
40.8b	1	`phi2`

Compiler

Compiled 3914 to 2453 computations (37.3% saved)

regimes384.0ms (0.3%)

Counts

74 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

59.0ms	phi2
56.0ms	lambda1
55.0ms	phi1
46.0ms	R
43.0ms	lambda2

Results

Error	Segments	Branch
40.8b	1	`R`
40.8b	1	`lambda1`
40.8b	1	`lambda2`
40.8b	1	`phi1`
40.8b	1	`phi2`

Compiler

Compiled 3663 to 2305 computations (37.1% saved)

regimes284.0ms (0.2%)

Calls

4 calls:

44.0ms	phi2
44.0ms	phi1
42.0ms	lambda1
41.0ms	lambda2

Results

Error	Segments	Branch
41.1b	1	`lambda2`
41.1b	1	`phi1`
41.1b	1	`phi2`

Results

Compiler

Compiled 3316 to 2087 computations (37.1% saved)