Details

analyze2.3s (2%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample18.5s (16.4%)

Results

13.9s	5461×	body	1024	valid
2.0s	432×	body	2048	valid
1.8s	1272×	body	512	valid
831.0ms	1091×	body	256	valid
6.0ms	2×	body	512	infinite
4.0ms	2×	body	1024	infinite

Bogosity

preprocess93.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1282×	`associate--r+`
1218×	`+-commutative`
882×	`associate-+l+`
872×	`distribute-lft-in`
852×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2191
1	396	2103
2	973	2103
3	2449	2103
4	4473	2103
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 75 to 51 computations (32% saved)

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

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

eval5.0ms (0%)

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

prune7.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

24.0b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.0b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (*.f64 R 2))
▶	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
▶	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 276 to 182 computations (34.1% saved)

localize187.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.8b	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
✓	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 406 to 215 computations (47% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
1.0ms	phi2	@	0	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
1.0ms	phi1	@	-inf	(-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))
0.0ms	lambda1	@	0	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
0.0ms	phi1	@	0	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite103.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify441.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 270

Calls

Call 1

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

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

localize169.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 395 to 205 computations (48.1% saved)

series19.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	lambda2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms	lambda1	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
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)))))
1.0ms	phi2	@	inf	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.0ms	lambda1	@	0	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite110.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Inputs

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

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

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simplify154.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

124 → 184

Calls

Call 1

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

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

localize165.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
✓	2.6b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	2.8b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 428 to 225 computations (47.4% saved)

series18.0ms (0%)

Counts

4 → 104

Calls

30 calls:

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

rewrite117.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	140
1	564	124
2	7672	124

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify165.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

218 → 252

Calls

Call 1

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

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

localize209.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
	2.6b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

Compiler

Compiled 381 to 205 computations (46.2% saved)

series15.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	lambda2	@	0	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
1.0ms	lambda1	@	0	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
1.0ms	lambda1	@	inf	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
1.0ms	lambda2	@	-inf	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
1.0ms	phi2	@	-inf	(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	89
1	560	73
2	7555	73

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs

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

Outputs

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

simplify172.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 139

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) 1)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1)) (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1)) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))
(-.f64 (fma.f64 (neg.f64 (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1) (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1)) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1) (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1)) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1)) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (.f64 phi1 phi1)))) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2))
(-.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (fma.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (.f64 phi1 phi1) 1)) (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1))) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) -1/4))) (.f64 phi1 phi1) 1)) (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1)) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (pow.f64 phi1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))
(-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1)) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (fma.f64 -1 (.f64 (.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi2 -1/2))) -1/6) (pow.f64 phi1 3)) (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi2)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (.f64 phi1 phi1))))) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))
(-.f64 (+.f64 (fma.f64 (neg.f64 (cos.f64 (.f64 phi2 -1/2))) (.f64 (sin.f64 (.f64 phi2 -1/2)) phi1) (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) 1)) (fma.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (fma.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) -1/6)) (neg.f64 (pow.f64 phi1 3))))) (pow.f64 (sin.f64 (*.f64 phi2 -1/2)) 2))
(-.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (fma.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) -1/2)) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2) -1/4))) (.f64 phi1 phi1) 1)) (.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 phi2 -1/2))) (.f64 -1/6 (pow.f64 phi1 3)))) (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) phi1)) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2)))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1)))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(+.f64 1 (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))) -1/2))) lambda2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) (+.f64 1 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 (fma.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) 1) (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))))))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))) -1/2))) lambda2))) (-.f64 (fma.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) 1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1))))) (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))))) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))) (+.f64 1 (+.f64 (.f64 lambda2 (.f64 (cos.f64 phi1) (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(-.f64 (fma.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) (+.f64 1 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 -1/2 (cos.f64 phi2)) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 phi1) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)) (fma.f64 -1/48 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))) (fma.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))) (fma.f64 -1/16 (.f64 (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1))) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))) 1/16))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 (fma.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) 1) (-.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (cos.f64 phi1) (.f64 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) -1/48 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))) 1/48 (fma.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2)))) -1/16 (.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))) (.f64 (cos.f64 phi2) 1/16))))) (pow.f64 lambda2 3))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(+.f64 (fma.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) 1/2) (.f64 (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1))) -1/2)))) (.f64 (cos.f64 phi1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2)))) (.f64 (fma.f64 (.f64 (cos.f64 (.f64 lambda1 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda1)))) -1/48 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 phi2) -1/16)) (.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))) 1/12))) (pow.f64 lambda2 3))))) (-.f64 (fma.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 lambda1 -1/2))) (.f64 (cos.f64 (.f64 lambda1 -1/2)) (cos.f64 (.f64 1/2 lambda1)))))) (.f64 (cos.f64 phi1) (.f64 lambda2 lambda2)) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(+.f64 1 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 lambda1 (fma.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))) (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2)))))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi2))))) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
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(-.f64 (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 lambda1 (.f64 lambda1 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 1/2 lambda2)))))))) (.f64 lambda1 (fma.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 lambda2 -1/2))))))))) (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) 1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))
(+.f64 (.f64 (cos.f64 phi1) (.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 1/2 lambda2))))))) (fma.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))) (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2)))))))) (-.f64 (fma.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (+.f64 (.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))))))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi2))))) (pow.f64 lambda1 2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) lambda1)) (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2)))) (fma.f64 1/16 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))) (fma.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))))))))) (fma.f64 (cos.f64 phi1) (.f64 (.f64 -1/4 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 1/2 lambda2)))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2)))))) (.f64 lambda1 lambda1)) (fma.f64 (cos.f64 phi1) (.f64 lambda1 (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2)))) (.f64 (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2))) (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2)))))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2)))) (fma.f64 1/16 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 lambda2 -1/2)))) (fma.f64 1/48 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 lambda2 -1/2)))) (.f64 -1/16 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2))))))))) (.f64 lambda1 (.f64 lambda1 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 1/2 lambda2)))))))))) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 lambda1 (fma.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 lambda2 -1/2))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 lambda2 -1/2))))))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1))))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 (pow.f64 lambda1 3) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 -1/16 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2))))) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 lambda2 -1/2)))) 1/12)))) (.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 -1/4 (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 lambda2 -1/2)) (sin.f64 (.f64 1/2 lambda2))))))) (fma.f64 1/2 (.f64 (cos.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (sin.f64 (.f64 1/2 lambda2)))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 (.f64 1/2 lambda2))) (.f64 -1/2 (sin.f64 (.f64 lambda2 -1/2))))))))) (-.f64 (.f64 (sin.f64 (.f64 lambda2 -1/2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 phi1)))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))
(+.f64 1 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1)
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2)
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3)
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3) 1/3)
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2))
(fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(fabs.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(log.f64 (exp.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(exp.f64 (log.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(fma.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)) (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))
(fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2)) 2)) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 1)) (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) 1))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))

eval2.8s (2.5%)

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

prune1.8s (1.6%)

Pruning

86 alts after pruning (86 fresh and 0 done)

	Pruned	Kept	Total
New	1856	86	1942
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1860	86	1946

Error

22.2b

Counts

1946 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	34.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (*.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3))) (.f64 R 2))
	31.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 (-.f64 lambda2 lambda1) -1/2))) 1) (pow.f64 (sin.f64 (.f64 phi2 -1/2)) 2)))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	24.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2)))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 R 2))
	31.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 R 2))
	32.7b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (*.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (*.f64 R 2))
▶	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
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	39.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
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	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	25.6b	(.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 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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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	32.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) 3) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4)))) (/.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 4))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.6b	(.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)))))))))
	39.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	39.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	25.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 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)))))))))
	33.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 (.f64 phi2 (cos.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 12746 to 8766 computations (31.2% saved)

localize294.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
✓	0.7b	(-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 565 to 350 computations (38.1% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-*r/`
1108×	`associate-*l/`
574×	`associate-+l+`
418×	`add-sqr-sqrt`
406×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	406	29
2	5176	29

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify124.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1374×	`fma-def`
1220×	`associate--l-`
724×	`*-commutative`
660×	`distribute-lft-in`
608×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	5650
1	594	5540
2	2147	5408
3	7440	5408

Stop Event

1×	node limit

Counts

78 → 114

Calls

Call 1

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

Outputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) 1) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(-.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))
(fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(-.f64 (+.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1) (neg.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (.f64 phi1 phi1) (neg.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4)))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1) (cos.f64 (.f64 1/2 phi2)))) (.f64 (.f64 phi1 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4))))
(-.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 phi1 3)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(-.f64 (+.f64 (fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1) (fma.f64 -1 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) 1/6) (pow.f64 phi1 3))))) (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))
(fma.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (+.f64 (neg.f64 (fma.f64 (.f64 phi1 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2) -1/4)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))) (.f64 1/6 (pow.f64 phi1 3))))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
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(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) 1) (neg.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) 1) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (+.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))))
(.f64 (fabs.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (hypot.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))
(.f64 (fabs.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (hypot.f64 1 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2)) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (cbrt.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8)) (/.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8)) (.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8)) (.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 3)) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (.f64 (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) 3))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 8))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)) (.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 8)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)) (/.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)) (.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)) (.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4))) (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 3))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 3)) (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) 3)) (.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 4) (-.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 6) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12)))))
(pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 1)
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 2)
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))) 3)
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 3) 1/3)
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) 3))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) 1))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2)

localize231.0ms (0.2%)

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)))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 381 to 212 computations (44.4% saved)

series7.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite115.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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

simplify265.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

143 → 227

Calls

Call 1

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

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

localize242.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1)
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
✓	2.6b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 468 to 262 computations (44% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1) 1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1) (/.f64 1 (+.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2)))))))) (#(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)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (-.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) (+.f64 2 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 2))) (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3))))))) (#(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 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sin.f64 (*.f64 (-.f64 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simplify114.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

159 → 226

Calls

Call 1

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

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

localize522.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.6b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 472 to 253 computations (46.4% saved)

localize153.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.6b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	2.6b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
✓	2.8b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 389 to 211 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`associate-*r/`
984×	`associate-*l/`
964×	`distribute-lft-in`
316×	`add-sqr-sqrt`
310×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	296	34
2	3867	34

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-def`
824×	`associate-+r+`
806×	`*-commutative`
800×	`distribute-lft-in`
740×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1840
1	388	1688
2	1357	1608
3	3600	1600
4	7904	1600

Stop Event

1×	node limit

Counts

68 → 95

Calls

Call 1

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

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

eval3.7s (3.3%)

Compiler: Compiled 166036 to 103128 computations (37.9% saved)

prune2.2s (1.9%)

Pruning

119 alts after pruning (119 fresh and 0 done)

	Pruned	Kept	Total
New	1991	75	2066
Fresh	37	44	81
Picked	1	0	1
Done	4	0	4
Total	2033	119	2152

Error

14.0b

Counts

2152 → 119

Alt Table

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Status	Error	Program
	45.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	45.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
▶	43.8b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	42.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	31.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1)) 1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (*.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	24.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2)))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 R 2))
	31.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi1) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (.f64 R 2))
	32.7b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (*.f64 R 2))
	44.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (.f64 R 2))
	42.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	44.2b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	47.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) (.f64 (.f64 (.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)))))))
	15.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	50.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	15.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.6b	(.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 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
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	33.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.9b	(.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 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	39.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	39.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	39.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	36.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.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 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 phi2 phi2))) (sin.f64 (.f64 1/2 phi1)))) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) 2)) 1) (.f64 (.f64 (cos.f64 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)))))))))
	26.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1) (.f64 (.f64 (cos.f64 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)))))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 4))) (sqrt.f64 (+.f64 2 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	32.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.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 1/2 lambda1)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 17000 to 12166 computations (28.4% saved)

localize249.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
✓	0.4b	(pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)
	0.7b	(-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 608 to 399 computations (34.4% saved)

series13.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`add-sqr-sqrt`
704×	`*-un-lft-identity`
702×	`pow1`
664×	`add-exp-log`
664×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	184
1	677	184

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs

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

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

Outputs

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

simplify175.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate--r+`
1190×	`+-commutative`
1062×	`associate--l+`
826×	`associate-+l-`
732×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	17523
1	1176	16969
2	4798	16963

Stop Event

1×	node limit

Counts

125 → 170

Calls

Call 1

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

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

localize122.0ms (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))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 318 to 172 computations (45.9% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 148

Calls

Call 1

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

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

localize161.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 438 to 233 computations (46.8% saved)

series19.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	lambda1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))
2.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))
2.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))
2.0ms	phi2	@	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`add-sqr-sqrt`
562×	`*-un-lft-identity`
560×	`pow1`
530×	`add-exp-log`
530×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	85
1	550	79
2	7433	79

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (*.f64 lambda1 1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (*.f64 lambda1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (*.f64 lambda1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda1 1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/4) (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda1 1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (*.f64 lambda1 1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (*.f64 lambda1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (*.f64 lambda1 1/2))))))) (cbrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (*.f64 (-.f64 lambda1 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simplify121.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1150×	`distribute-lft-in`
1146×	`distribute-rgt-in`
618×	`associate-r`
494×	`*-commutative`
474×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	11447
1	905	10977
2	2941	10669

Stop Event

1×	node limit

Counts

75 → 116

Calls

Call 1

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

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

localize169.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.6b	(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	8.2b	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))

Compiler

Compiled 442 to 239 computations (45.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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	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))

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`*-commutative`
786×	`unswap-sqr`
584×	`swap-sqr`
552×	`associate-*r/`
462×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	251	23
2	3078	23

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate--r+`
916×	`associate-+r+`
822×	`associate-r`
786×	`associate-+l-`
784×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2202
1	430	2124
2	1111	2060
3	3384	2038
4	7122	2038

Stop Event

1×	node limit

Counts

62 → 81

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)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6)))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)))) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))
(.f64 (.f64 (sqrt.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))) 2)) (.f64 (sqrt.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))) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2))
(/.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 1) 2)
(pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 6)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12)))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))))
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))))

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 (cos.f64 (.f64 -1/2 phi2)) (.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)))
(.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 phi2 1/2)) 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 (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 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 phi2 1/2)) 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 phi2 1/2)) 2)))))
(fma.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 (cos.f64 (.f64 phi2 1/2)) phi1 (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 (.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))) (.f64 (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 (.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 phi2 1/2)) 2))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi2 1/2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 phi1 (.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 phi2 1/2))) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))))
(pow.f64 (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 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.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 phi1 1/2)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (-.f64 (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2))))) (.f64 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))))))
(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 -1/2 phi1)) 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (-.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 (cos.f64 (*.f64 -1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi1 1/2))) 1/6) (pow.f64 phi2 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2))) (.f64 phi2 phi2) (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))))
(+.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (-.f64 (fma.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 (sin.f64 (.f64 phi1 1/2)) 1/6)) (pow.f64 phi2 3) (.f64 phi2 (.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2)))))) (.f64 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 -1/2 phi1)) 2)))) (.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 -1/2 phi1))) (-.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)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)) 1/6)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)))) (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12)))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (.f64 (sqrt.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))) 2)) (.f64 (sqrt.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))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 12))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 12))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(/.f64 (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (cos.f64 (*.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (-.f64 phi1 phi2) 0)) (cos.f64 (-.f64 phi1 phi2))) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 6))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 6))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12)))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 12)))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 12)))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 phi1 phi2))))
(fma.f64 -1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2)

localize154.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	2.6b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
	2.8b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 384 to 216 computations (43.8% saved)

eval3.3s (3%)

Compiler: Compiled 169222 to 108311 computations (36% saved)

prune2.8s (2.5%)

Pruning

175 alts after pruning (175 fresh and 0 done)

	Pruned	Kept	Total
New	1923	106	2029
Fresh	45	69	114
Picked	1	0	1
Done	4	0	4
Total	1973	175	2148

Error

13.8b

Counts

2148 → 175

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	46.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	45.8b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	45.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
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	15.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (+.f64 (.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	26.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	37.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 1) (.f64 (.f64 (cos.f64 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)))))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	16.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (.f64 lambda1 1/2)) (cos.f64 (.f64 lambda2 1/2))) (.f64 (cos.f64 (.f64 lambda1 1/2)) (sin.f64 (.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2))) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	16.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) 3)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 6)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	45.3b	(.f64 R (.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (.f64 lambda1 1/2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 25068 to 18280 computations (27.1% saved)

localize296.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
✓	1.7b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
✓	2.8b	(cos.f64 (-.f64 lambda1 lambda2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 725 to 478 computations (34.1% saved)

series24.0ms (0%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	lambda1	@	0	(cos.f64 (-.f64 lambda1 lambda2))
3.0ms	phi1	@	inf	(+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
1.0ms	phi2	@	inf	(+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
1.0ms	lambda1	@	-inf	(+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))
1.0ms	lambda2	@	-inf	(+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))

rewrite66.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`add-sqr-sqrt`
728×	`*-un-lft-identity`
726×	`pow1`
688×	`add-exp-log`
688×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	157
1	699	153

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

simplify205.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1152×	`distribute-lft-in`
1134×	`+-commutative`
838×	`associate-+r+`
782×	`associate--r+`
776×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	13010
1	1107	12356
2	3966	12332

Stop Event

1×	node limit

Counts

140 → 230

Calls

Call 1

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

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

localize125.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.6b	(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 309 to 160 computations (48.2% saved)

localize215.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
	2.8b	(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))

Compiler

Compiled 402 to 239 computations (40.5% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	lambda1	@	0	(-.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))))
1.0ms	phi1	@	0	(-.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))))
1.0ms	lambda2	@	0	(-.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))))
0.0ms	phi1	@	inf	(-.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))))
0.0ms	phi1	@	-inf	(-.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))))

rewrite130.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-*r/`
448×	`associate-+l+`
436×	`add-sqr-sqrt`
424×	`*-un-lft-identity`
420×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	426	57
2	5435	57

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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simplify287.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-+r+`
954×	`+-commutative`
818×	`associate--r+`
762×	`associate-+l-`
760×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	11089
1	1055	10515
2	3739	10445

Stop Event

1×	node limit

Counts

111 → 180

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 4)) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/1440 (.f64 -1/720 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 6))) (+.f64 (.f64 (-.f64 1/48 (.f64 1/24 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 phi1 4)) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 1/4 (.f64 -1/2 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 (.f64 -1/2 lambda2)) (.f64 (cos.f64 phi1) lambda1)))) 1) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.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 phi1) lambda1)))) (+.f64 1 (.f64 -1 (.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.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 phi1) lambda1)))) (+.f64 1 (+.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 phi1) (pow.f64 lambda1 3)))) (.f64 -1 (.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 (pow.f64 (sin.f64 (.f64 -1/2 lambda2)) 2) (cos.f64 phi1)) (pow.f64 (sin.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 (.f64 -1 lambda1) lambda2))) 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 (.f64 -1 lambda1) lambda2))) 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 (.f64 -1 lambda1) lambda2))) 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 (.f64 -1 lambda1) lambda2))) 2))))
(-.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 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) 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 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 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 (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 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))) (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1))))) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))) (.f64 -1 (.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 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 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 (.f64 -1 lambda2) lambda1))) 2))))
(+.f64 1 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(+.f64 1 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1))))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1))))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1))))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1))))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 1 (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 1 (-.f64 (neg.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 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (sin.f64 (.f64 1/2 phi1))) (sin.f64 (.f64 1/2 phi1))) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1)))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))))
(+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(+.f64 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1) 1)
(+.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (+.f64 (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 1))
(+.f64 (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (.f64 (neg.f64 (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 2)) (cbrt.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (-.f64 1 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 1)
(+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (exp.f64 (log1p.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) 1)
(+.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) 1/2) (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 phi1)))))
(+.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 1)
(.f64 1 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) 1)
(.f64 (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2) (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(/.f64 (-.f64 1 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi1) 2))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3)) (+.f64 (+.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi1) 2))) (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi1) 2)))) (+.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3) (pow.f64 (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)) 3))) (+.f64 (+.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 4) (pow.f64 (cos.f64 phi1) 2))) (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2)) 1) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) 2) (+.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) 3))
(expm1.f64 (log.f64 (-.f64 2 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(exp.f64 (log1p.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))

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

localize273.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6)))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
✓	8.8b	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6))

Compiler

Compiled 422 to 239 computations (43.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`*-commutative`
646×	`unswap-sqr`
530×	`swap-sqr`
394×	`sqr-pow`
356×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	244	40
2	2825	34

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-*r/`
894×	`associate-+l+`
844×	`associate-+r+`
818×	`associate-*l/`
738×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	4294975288
1	1147	7312
2	4089	7306

Stop Event

1×	node limit

Counts

164 → 258

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 phi1 2))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 -1/48 (pow.f64 phi1 4)))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/1440 (pow.f64 phi1 6)) (*.f64 -1/48 (pow.f64 phi1 4))))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/1440 (pow.f64 phi1 6)) (+.f64 (.f64 -1/48 (pow.f64 phi1 4)) (.f64 -1/80640 (pow.f64 phi1 8)))))
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
1
(+.f64 (*.f64 -1/4 (pow.f64 phi1 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/48 (pow.f64 phi1 4)) 1))
(+.f64 (.f64 -1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/48 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -1/1440 (pow.f64 phi1 6)))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 phi1))))
(+.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 0)
(+.f64 1 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 1))
(+.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))) -1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(.f64 (sin.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2)))
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cbrt.f64 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(*.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 1/2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4)) (cbrt.f64 (sin.f64 (.f64 1/2 phi1)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))))
(.f64 (+.f64 (sqrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) 1) (-.f64 (sqrt.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))) 1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2) 3/2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 phi1))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 0) (cos.f64 phi1))) 2)
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (cos.f64 0) (cos.f64 phi1))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 1) 2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/2 (cos.f64 phi1)))) (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))
(/.f64 (-.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2) 1) (+.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 1))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 phi1)) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/2 (cos.f64 phi1))) (.f64 1/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 3) 1) (+.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2) (+.f64 1 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 3) 2/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2) 3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 6)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))))))
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1 (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))))
(+.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(+.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))) -1)
(+.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))
(+.f64 (-.f64 1 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))) 1)
(.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))
(.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) 1)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (/.f64 1 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))
(.f64 (+.f64 1 (pow.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 phi1))) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (/.f64 1 (neg.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) 1)) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2)))) (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (+.f64 1 (pow.f64 (+.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) 3))) (+.f64 1 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2)) (+.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))))) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 3/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 3/2))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) 3) 1/6) (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (+.f64 1 (pow.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))) 3))))
(/.f64 1 (/.f64 (neg.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))))
(/.f64 1 (/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (/.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))) (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))) (/.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 12)) (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 4)) (.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 phi1))) 3)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) 3)) (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 12)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 3)) (.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) (+.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 4)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (neg.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 phi1))) 3))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))) (sqrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))) (cbrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 phi1))) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) 1) (neg.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6))) (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4))) (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))) 2)) (cbrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 4)) (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (+.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 3)) (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (+.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 4)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 12)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 12))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) 1) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (sqrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (sqrt.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (.f64 (cbrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (cbrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (cbrt.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1) (-.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 phi1))) 1))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) 1))
(/.f64 (-.f64 (.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))) (+.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) 3)) (+.f64 (.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) 3)) (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (neg.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))

Outputs
(*.f64 1/4 (pow.f64 phi1 2))
(.f64 1/4 (.f64 phi1 phi1))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (.f64 -1/48 (pow.f64 phi1 4)))
(fma.f64 1/4 (.f64 phi1 phi1) (.f64 -1/48 (pow.f64 phi1 4)))
(fma.f64 -1/48 (pow.f64 phi1 4) (.f64 1/4 (.f64 phi1 phi1)))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/1440 (pow.f64 phi1 6)) (*.f64 -1/48 (pow.f64 phi1 4))))
(fma.f64 1/4 (.f64 phi1 phi1) (fma.f64 1/1440 (pow.f64 phi1 6) (.f64 -1/48 (pow.f64 phi1 4))))
(fma.f64 1/4 (.f64 phi1 phi1) (fma.f64 -1/48 (pow.f64 phi1 4) (.f64 1/1440 (pow.f64 phi1 6))))
(+.f64 (.f64 1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/1440 (pow.f64 phi1 6)) (+.f64 (.f64 -1/48 (pow.f64 phi1 4)) (.f64 -1/80640 (pow.f64 phi1 8)))))
(fma.f64 1/4 (.f64 phi1 phi1) (fma.f64 1/1440 (pow.f64 phi1 6) (fma.f64 -1/48 (pow.f64 phi1 4) (.f64 -1/80640 (pow.f64 phi1 8)))))
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
1
(+.f64 (*.f64 -1/4 (pow.f64 phi1 2)) 1)
(fma.f64 -1/4 (*.f64 phi1 phi1) 1)
(fma.f64 (*.f64 phi1 phi1) -1/4 1)
(+.f64 (.f64 -1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/48 (pow.f64 phi1 4)) 1))
(fma.f64 -1/4 (*.f64 phi1 phi1) (fma.f64 1/48 (pow.f64 phi1 4) 1))
(fma.f64 (*.f64 phi1 phi1) -1/4 (fma.f64 (pow.f64 phi1 4) 1/48 1))
(+.f64 (.f64 -1/4 (pow.f64 phi1 2)) (+.f64 (.f64 1/48 (pow.f64 phi1 4)) (+.f64 1 (*.f64 -1/1440 (pow.f64 phi1 6)))))
(fma.f64 -1/4 (.f64 phi1 phi1) (+.f64 (fma.f64 1/48 (pow.f64 phi1 4) 1) (.f64 (pow.f64 phi1 6) -1/1440)))
(fma.f64 (*.f64 phi1 phi1) -1/4 (fma.f64 (pow.f64 phi1 4) 1/48 (fma.f64 (pow.f64 phi1 6) -1/1440 1)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(+.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 0)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(+.f64 1 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 1))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(+.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(-.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 (sin.f64 (.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 phi1 1/2))) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 phi1 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2)))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 1/2 phi1))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cbrt.f64 (sin.f64 (.f64 1/2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) 1/6)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 phi1 1/2))) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 phi1 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)))
(*.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2)))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4)) (cbrt.f64 (sin.f64 (.f64 1/2 phi1)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 4)) (cbrt.f64 (sin.f64 (*.f64 1/2 phi1)))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2))))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(.f64 (+.f64 (sqrt.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) 1) (-.f64 (sqrt.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))) 1))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))))) (+.f64 (sqrt.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 phi1)))) -1))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2))) (+.f64 -1 (sqrt.f64 (+.f64 (*.f64 -1/2 (cos.f64 phi1)) 3/2))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))) (+.f64 -1 (sqrt.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 phi1))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2) 3/2))
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 0) (cos.f64 phi1))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (cos.f64 0) (cos.f64 phi1))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 phi1)) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/2 (cos.f64 phi1)))) (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))
(/.f64 (-.f64 1/4 (.f64 (.f64 1/4 (cos.f64 phi1)) (cos.f64 phi1))) (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))
(/.f64 (-.f64 1/4 (.f64 (cos.f64 phi1) (.f64 1/4 (cos.f64 phi1)))) (fma.f64 1/2 (cos.f64 phi1) 1/2))
(/.f64 (+.f64 1/4 (.f64 -1/4 (.f64 (cos.f64 phi1) (cos.f64 phi1)))) (fma.f64 1/2 (cos.f64 phi1) 1/2))
(/.f64 (-.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2) 1) (+.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) 2) -1) (-.f64 5/2 (.f64 1/2 (cos.f64 phi1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2) 2)) (+.f64 5/2 (.f64 -1/2 (cos.f64 phi1))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)) 2)) (+.f64 (*.f64 -1/2 (cos.f64 phi1)) 5/2))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 phi1)) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 phi1)) (.f64 1/2 (cos.f64 phi1))) (.f64 1/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 phi1) 3))) (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 phi1)) (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 phi1) 3))) (fma.f64 (.f64 1/2 (cos.f64 phi1)) (fma.f64 1/2 (cos.f64 phi1) 1/2) 1/4))
(/.f64 (-.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 3) 1) (+.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))) 2) (+.f64 1 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) 3) -1) (+.f64 (pow.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) 2) (-.f64 5/2 (*.f64 1/2 (cos.f64 phi1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2) 3)) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2) 2) (+.f64 5/2 (*.f64 -1/2 (cos.f64 phi1)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)) 3)) (+.f64 (*.f64 -1/2 (cos.f64 phi1)) (+.f64 (pow.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)) 2) 5/2)))
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 6) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 6))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 3) 2/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 3) 2/3)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 3)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 phi1))) 4)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 2) 3)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 phi1))) 6)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 4))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4))
(fabs.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 phi1)))))
(expm1.f64 (log.f64 (+.f64 (*.f64 -1/2 (cos.f64 phi1)) 3/2)))
(expm1.f64 (log.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2))))
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 -1/2 (cos.f64 phi1) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(+.f64 1 (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(+.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(+.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))) -1)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(+.f64 (/.f64 1 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)) (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)) (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)) (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6)) (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)))
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(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 phi1) 1/2))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 phi1) 1/2))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 (cos.f64 phi1) 1/2)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) 3)) (fma.f64 (/.f64 1 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) (/.f64 1 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) (+.f64 (/.f64 1 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1)))) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (+.f64 3/2 (*.f64 -1/2 (cos.f64 phi1))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2)) 3) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 12) (pow.f64 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2)) (+.f64 (/.f64 1 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2)) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2))) (/.f64 (/.f64 1 (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2)) (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2))) 3) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 12) (pow.f64 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4) (-.f64 3/2 (/.f64 (cos.f64 phi1) 2))) (+.f64 (/.f64 1 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2))) (/.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4) (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))) (/.f64 (/.f64 1 (-.f64 3/2 (/.f64 (cos.f64 phi1) 2))) (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) 3)) (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1)))))) (.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))))
(/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)) 3)) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) 3)) (fma.f64 (/.f64 1 (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) (/.f64 1 (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) (+.f64 (/.f64 1 (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) (+.f64 (/.f64 1 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))))) (/.f64 (/.f64 1 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))))))
(/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) 3)) (pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) (+.f64 (/.f64 1 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)))) (/.f64 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))))) (/.f64 1 (.f64 (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)))))))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 1)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))) 3)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 3) 1/3)
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4)) (neg.f64 (-.f64 3/2 (.f64 1/2 (cos.f64 phi1))))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)) (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4)) (+.f64 (.f64 -1/2 (cos.f64 phi1)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)) (-.f64 3/2 (/.f64 (cos.f64 phi1) 2)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 6)) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 4) (-.f64 3/2 (*.f64 1/2 (cos.f64 phi1)))))))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6)) (+.f64 (+.f64 3/2 (.f64 -1/2 (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 4)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 phi1 1/2)) 6)) (+.f64 3/2 (fma.f64 -1/2 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 phi1 1/2)) 4))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 2))
(fabs.f64 (fma.f64 1/2 (cos.f64 phi1) 1/2))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1))) 3))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(fma.f64 1/2 (cos.f64 phi1) 1/2)

localize1.1s (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(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)))))
	0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
	2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
	2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 583 to 355 computations (39.1% saved)

series12.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite53.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	127
1	676	127

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))) 1/4) (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))) (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1)))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2)))) 2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 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simplify692.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`distribute-lft-in`
1268×	`distribute-rgt-in`
652×	`associate-r`
516×	`+-commutative`
492×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	14162
1	921	13626
2	3080	13188

Stop Event

1×	node limit

Counts

64 → 97

Calls

Call 1

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

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

eval4.1s (3.7%)

Compiler: Compiled 164813 to 107102 computations (35% saved)

prune2.6s (2.3%)

Pruning

219 alts after pruning (219 fresh and 0 done)

	Pruned	Kept	Total
New	1922	102	2024
Fresh	53	117	170
Picked	1	0	1
Done	4	0	4
Total	1980	219	2199

Error

13.8b

Counts

2199 → 219

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	46.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	45.8b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (+.f64 (.f64 -1/2 (.f64 lambda2 (cos.f64 (.f64 1/2 lambda1)))) (sin.f64 (.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (*.f64 R 2))
	43.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	48.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	45.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 -1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	47.1b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	44.9b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))) (.f64 R 2))
	42.4b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	44.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (.f64 R 2))
	24.3b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2)))) (*.f64 R 2))
	35.5b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))) (.f64 R 2))
	42.6b	(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2) (-.f64 1 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))) (.f64 R 2))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 1/4) 2) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) 1) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 (.f64 -1/2 phi2) (cos.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	57.0b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 phi1 phi1)) 1) (sin.f64 (.f64 -1/2 phi2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	56.6b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.9b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (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 phi1 phi2))) 2))) (.f64 -1/4 (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 1/2 lambda1)) (cos.f64 (.f64 1/2 lambda1)))))) (sqrt.f64 (/.f64 1 (+.f64 (.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))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.8b	(.f64 R (.f64 2 (atan2.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2)))) 2) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	40.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (sin.f64 (.f64 1/2 lambda1)) (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2)))) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	47.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (-.f64 (.f64 (sin.f64 (.f64 lambda2 1/2)) (cos.f64 (.f64 lambda1 1/2))) (.f64 (cos.f64 (.f64 lambda2 1/2)) (sin.f64 (.f64 lambda1 1/2)))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) 1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))
	44.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
	45.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
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	33.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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	16.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) 3)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	55.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
	58.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)))))))
	56.0b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	55.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
	58.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (sin.f64 (.f64 1/2 phi2))))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 2) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	57.4b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (cos.f64 (.f64 1/2 phi1)))) (.f64 (+.f64 1 (.f64 (.f64 -1/8 phi2) phi2)) (sin.f64 (.f64 1/2 phi1)))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.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)))))))))
	53.8b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))))))))))
	53.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	54.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	54.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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))))))))
	56.1b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	55.9b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 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 (-.f64 lambda1 lambda2))) 2))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2))))) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (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)))))))
	53.7b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))
	53.5b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (fabs.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2))))))))
	55.6b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 phi1)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	58.3b	(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 -1/2 phi2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	35.5b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (sin.f64 (.f64 1/2 lambda1))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.6b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (exp.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)) (sin.f64 (.f64 lambda1 1/2))) (pow.f64 (sin.f64 (.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	34.5b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda1)) (.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) (cos.f64 phi1))) (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1)))) 2)) 3/2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	54.0b	(.f64 R (.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 3)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 14745 to 10902 computations (26.1% saved)

regimes3.9s (3.4%)

Counts

373 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

266.0ms	(-.f64 lambda1 lambda2)
234.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
232.0ms	(+.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))))
228.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
227.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Results

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

Compiler

Compiled 24700 to 15478 computations (37.3% saved)

regimes4.3s (3.8%)

Counts

352 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

418.0ms	lambda2
335.0ms	lambda1
333.0ms	phi1
314.0ms	phi2
291.0ms	(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
15.0b	1	`R`
15.0b	1	`lambda1`
15.0b	1	`lambda2`
15.0b	1	`phi1`
15.0b	1	`phi2`
15.0b	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)))))))))`
15.0b	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))))))))`
15.0b	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)))))))`
15.0b	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))))`
15.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
15.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
15.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 22482 to 14006 computations (37.7% saved)

regimes4.2s (3.8%)

Counts

344 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

643.0ms	(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)))))))
364.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
301.0ms	lambda2
289.0ms	R
266.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
15.0b	1	`R`
15.0b	1	`lambda1`
15.0b	1	`lambda2`
15.0b	1	`phi1`
15.0b	1	`phi2`
15.0b	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)))))))))`
15.0b	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))))))))`
15.0b	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)))))))`
15.0b	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))))`
15.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
15.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
15.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 21747 to 13518 computations (37.8% saved)

regimes8.6s (7.6%)

Counts

326 → 3

Calls

Call 1

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

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

12 calls:

1.1s	lambda2
769.0ms	phi2
767.0ms	(.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))))))))
757.0ms	lambda1
751.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
23.5b	1	`R`
15.0b	3	`lambda1`
15.0b	3	`lambda2`
19.6b	3	`phi1`
19.8b	3	`phi2`
23.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.1b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.1b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
19.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
19.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20180 to 12481 computations (38.2% saved)

bsearch420.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
169.0ms	3.100950111990285e-14	1.7714879435920993e-13
242.0ms	-3.201239481316117e+28	-2.505520237026757e+24

Results

296.0ms	149×	body	1024	valid
50.0ms	10×	body	2048	valid
37.0ms	30×	body	512	valid
19.0ms	35×	body	256	valid

Compiler

Compiled 2612 to 1999 computations (23.5% saved)

regimes8.4s (7.5%)

Counts

325 → 3

Calls

Call 1

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

Outputs

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

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

Calls

12 calls:

994.0ms	lambda1
944.0ms	lambda2
922.0ms	phi2
831.0ms	(.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))))))))
701.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
23.5b	1	`R`
15.5b	3	`lambda1`
15.6b	3	`lambda2`
19.7b	3	`phi1`
19.9b	3	`phi2`
23.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.1b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.1b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
19.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
19.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20095 to 12422 computations (38.2% saved)

bsearch773.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
392.0ms	6.3128712958943755e-34	10.919305523487699
373.0ms	-2.487018379982781	-1.6636754254653808e-12

Results

482.0ms	197×	body	1024	valid
156.0ms	52×	body	512	valid
73.0ms	21×	body	2048	valid
38.0ms	66×	body	256	valid

Compiler

Compiled 3879 to 2951 computations (23.9% saved)

regimes8.1s (7.2%)

Counts

324 → 3

Calls

Call 1

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

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

Calls

12 calls:

1.0s	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
902.0ms	(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)))))))
805.0ms	(.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))))))))
651.0ms	(+.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))))
650.0ms	lambda1

Results

Error	Segments	Branch
23.5b	1	`R`
20.6b	3	`lambda1`
17.2b	3	`lambda2`
21.5b	2	`phi1`
19.9b	3	`phi2`
23.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
22.1b	2	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
22.1b	2	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
21.3b	2	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
19.3b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
19.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
19.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 20010 to 12364 computations (38.2% saved)

bsearch690.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
349.0ms	1.6025339035618297e-6	0.23649076850368683
333.0ms	-7.79182099418833e+36	-1.7322693686254634e+31

Results

445.0ms	179×	body	1024	valid
78.0ms	15×	body	2048	valid
57.0ms	50×	body	512	valid
29.0ms	44×	body	256	valid

Compiler

Compiled 3210 to 2357 computations (26.6% saved)

regimes4.0s (3.6%)

Counts

323 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

304.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
277.0ms	(+.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))))
257.0ms	phi1
251.0ms	phi2
250.0ms	R

Results

Error	Segments	Branch
23.5b	1	`R`
23.5b	1	`lambda1`
23.5b	1	`lambda2`
23.5b	1	`phi1`
23.5b	1	`phi2`
23.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
23.5b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
23.5b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
23.5b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
23.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
23.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
23.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 19926 to 12305 computations (38.2% saved)

regimes2.9s (2.6%)

Counts

283 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

479.0ms	lambda2
267.0ms	phi1
169.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
166.0ms	(-.f64 lambda1 lambda2)
164.0ms	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Results

Error	Segments	Branch
24.0b	1	`R`
24.0b	1	`lambda1`
24.0b	1	`lambda2`
24.0b	1	`phi1`
24.0b	1	`phi2`
24.0b	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)))))))))`
24.0b	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))))))))`
24.0b	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)))))))`
24.0b	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))))`
24.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 16817 to 10349 computations (38.5% saved)

regimes585.0ms (0.5%)

Counts

111 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

56.0ms	(-.f64 lambda1 lambda2)
56.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
54.0ms	lambda2
53.0ms	lambda1
53.0ms	phi2

Results

Error	Segments	Branch
24.0b	1	`R`
24.0b	1	`lambda1`
24.0b	1	`lambda2`
24.0b	1	`phi1`
24.0b	1	`phi2`
24.0b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.0b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5460 to 3442 computations (37% saved)

regimes1.0s (0.9%)

Counts

109 → 3

Calls

Call 1

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

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

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

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

Calls

8 calls:

142.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
141.0ms	(-.f64 lambda1 lambda2)
139.0ms	phi2
138.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
133.0ms	phi1

Results

Error	Segments	Branch
25.6b	1	`R`
25.6b	1	`lambda1`
25.6b	1	`lambda2`
23.8b	3	`phi1`
23.8b	3	`phi2`
24.5b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
24.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
24.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 5330 to 3369 computations (36.8% saved)

bsearch436.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
264.0ms	8809129951346161000.0	2.356183979831501e+30
169.0ms	-1.6538371356979135e-43	-2.1281174787527628e-45

Results

283.0ms	152×	body	1024	valid
60.0ms	54×	body	512	valid
52.0ms	16×	body	2048	valid
29.0ms	50×	body	256	valid

Compiler

Compiled 2104 to 1569 computations (25.4% saved)

regimes1.4s (1.2%)

Counts

98 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

275.0ms	lambda2
245.0ms	R
165.0ms	phi2
148.0ms	phi1
122.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Results

Error	Segments	Branch
32.9b	5	`R`
35.5b	1	`lambda1`
32.1b	5	`lambda2`
27.9b	3	`phi1`
30.5b	3	`phi2`
32.4b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4693 to 2975 computations (36.6% saved)

bsearch489.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
255.0ms	203008988427402.94	1032158534772247.4
232.0ms	-4.31993684223954e+19	-2600147954289544.0

Results

397.0ms	133×	body	1024	valid
35.0ms	31×	body	512	valid
31.0ms	56×	body	256	valid
15.0ms	4×	body	2048	valid
1.0ms	1×	body	256	infinite

Compiler

Compiled 1730 to 1313 computations (24.1% saved)

regimes1.3s (1.2%)

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

308.0ms	lambda2
236.0ms	R
154.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
144.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
109.0ms	phi1

Results

Error	Segments	Branch
32.9b	5	`R`
35.5b	1	`lambda1`
32.1b	5	`lambda2`
28.0b	3	`phi1`
30.7b	3	`phi2`
32.4b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3920 to 2481 computations (36.7% saved)

bsearch378.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
162.0ms	203008988427402.94	1032158534772247.4
213.0ms	-4.31993684223954e+19	-2600147954289544.0

Results

280.0ms	140×	body	1024	valid
43.0ms	38×	body	512	valid
22.0ms	6×	body	2048	valid
22.0ms	40×	body	256	valid
1.0ms	2×	body	256	infinite

Compiler

Compiled 1716 to 1271 computations (25.9% saved)

regimes1.3s (1.2%)

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

241.0ms	lambda2
173.0ms	phi1
169.0ms	R
168.0ms	(-.f64 lambda1 lambda2)
166.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)

Results

Error	Segments	Branch
32.9b	5	`R`
35.5b	1	`lambda1`
32.1b	5	`lambda2`
28.0b	3	`phi1`
30.7b	3	`phi2`
32.4b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
32.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
32.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3768 to 2385 computations (36.7% saved)

bsearch364.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
160.0ms	203008988427402.94	1032158534772247.4
202.0ms	-4.31993684223954e+19	-2600147954289544.0

Results

279.0ms	142×	body	1024	valid
37.0ms	31×	body	512	valid
26.0ms	47×	body	256	valid
13.0ms	4×	body	2048	valid
1.0ms	1×	body	256	infinite

Compiler

Compiled 1786 to 1355 computations (24.1% saved)

regimes770.0ms (0.7%)

Counts

75 → 3

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

158.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
96.0ms	(-.f64 lambda1 lambda2)
95.0ms	lambda1
95.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
93.0ms	phi1

Results

Error	Segments	Branch
38.7b	1	`R`
37.5b	3	`lambda1`
36.9b	2	`lambda2`
35.7b	3	`phi1`
38.7b	1	`phi2`
36.4b	5	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
37.5b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
37.5b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3470 to 2200 computations (36.6% saved)

bsearch350.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	203008988427402.94	1032158534772247.4
194.0ms	-4.31993684223954e+19	-2600147954289544.0

Results

247.0ms	131×	body	1024	valid
37.0ms	28×	body	512	valid
31.0ms	57×	body	256	valid
25.0ms	8×	body	2048	valid
1.0ms	1×	body	256	infinite

Compiler

Compiled 1702 to 1313 computations (22.9% saved)

regimes1.0s (0.9%)

Counts

74 → 3

Calls

Call 1

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

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

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

Calls

8 calls:

170.0ms	R
148.0ms	lambda1
145.0ms	lambda2
91.0ms	phi1
91.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
41.7b	2	`R`
40.8b	3	`lambda1`
40.5b	3	`lambda2`
39.3b	3	`phi1`
42.1b	2	`phi2`
38.4b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
38.6b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
38.6b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3415 to 2164 computations (36.6% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.12800168344001966	0.1344732843754992
0.0ms	-0.03947878997693461	-0.037282313859564084

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes438.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

90.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
86.0ms	(-.f64 lambda1 lambda2)
69.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
48.0ms	lambda1
35.0ms	phi1

Results

Error	Segments	Branch
43.3b	1	`R`
43.3b	1	`lambda1`
43.3b	1	`lambda2`
43.3b	1	`phi1`
43.3b	1	`phi2`
42.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
42.2b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
42.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1871 to 1190 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1316608747933576e-130	4.675109822224356e-129
0.0ms	-5.821887448344453e-179	-7.037316832529012e-185

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes227.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

78.0ms	(-.f64 lambda1 lambda2)
32.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
30.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
14.0ms	R
14.0ms	phi2

Results

Error	Segments	Branch
43.3b	1	`R`
43.3b	1	`lambda1`
43.3b	1	`lambda2`
43.3b	1	`phi1`
43.3b	1	`phi2`
42.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
42.2b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
42.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 880 to 580 computations (34.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1316608747933576e-130	4.675109822224356e-129
0.0ms	-3.770242393114729e-149	-1.0483096783415486e-155

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes168.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

33.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
30.0ms	(-.f64 lambda1 lambda2)
29.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	phi1
11.0ms	lambda1

Results

Error	Segments	Branch
43.3b	1	`R`
43.3b	1	`lambda1`
43.3b	1	`lambda2`
43.3b	1	`phi1`
43.3b	1	`phi2`
42.2b	3	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
42.2b	3	`(/.f64 (-.f64 lambda1 lambda2) 2)`
42.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 831 to 549 computations (33.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1316608747933576e-130	4.675109822224356e-129
0.0ms	-3.770242393114729e-149	-1.0483096783415486e-155

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes104.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

16.0ms	(/.f64 (-.f64 lambda1 lambda2) 2)
11.0ms	lambda2
10.0ms	(-.f64 lambda1 lambda2)
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	phi1

Results

Error	Segments	Branch
53.7b	1	`R`
53.7b	1	`lambda1`
53.7b	1	`lambda2`
53.7b	1	`phi1`
53.7b	1	`phi2`
53.7b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
53.7b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
53.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 740 to 489 computations (33.9% saved)

regimes32.0ms (0%)

Accuracy

Total -2.4b remaining (-4.4%)

Threshold costs -2.4b (-4.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

5.0ms	phi1
5.0ms	lambda1
4.0ms	(-.f64 lambda1 lambda2)
4.0ms	R
4.0ms	lambda2

Results

Error	Segments	Branch
54.3b	1	`R`
54.3b	1	`lambda1`
54.3b	1	`lambda2`
54.3b	1	`phi1`
54.3b	1	`phi2`
54.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 199 to 147 computations (26.1% saved)

simplify391.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-lft-neg-in`
468×	`*-commutative`
400×	`distribute-rgt-neg-in`
332×	`+-commutative`
248×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	7065
1	586	7049
2	762	7033
3	926	7001
4	1096	7001
5	1248	7001
6	1460	7001
7	1720	7001
8	1896	7001
9	1972	7001
10	2025	7001
11	2046	7001
12	2052	7001
13	2052	7001

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))
(if (<=.f64 lambda2 -2599999999999999849005056) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.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))))))) (if (<=.f64 lambda2 3466232109999065/19807040628566084398385987584) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.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 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (-.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)))))))))
(if (<=.f64 lambda1 -6422418416702717/75557863725914323419136) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.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))))))))))) (if (<=.f64 lambda1 6611313076017503/18889465931478580854784) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (.f64 -1/2 lambda2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 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)))))))))))))
(if (<=.f64 lambda2 -17500000000000000488718423031808) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (if (<=.f64 lambda2 6640827866535439/295147905179352825856) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.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 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(if (<=.f64 phi2 -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (if (<=.f64 phi2 8900000000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))))
(if (<=.f64 phi1 -2700000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))) (if (<=.f64 phi1 205000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))))
(if (<=.f64 phi1 -2700000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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 (fma.f64 1/2 (cos.f64 phi1) (-.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))) (if (<=.f64 phi1 205000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (fma.f64 1/2 (cos.f64 phi1) (-.f64 1/2 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))))
(if (<=.f64 phi1 -2700000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 1 phi1))))))))) (if (<=.f64 phi1 210000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 (.f64 -1 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 1 phi1)))))))))))
(if (<=.f64 phi1 -2700000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 1 phi1))))))))) (if (<=.f64 phi1 205000000000000) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (-.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 1 phi1)))))))))))
(if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) -5476377146882523/144115188075855872) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 1170935903116329/9007199254740992) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1))))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -912488123524439/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 (-.f64 lambda2 lambda1) -1))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1))))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 1/2 phi2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 1/2 phi2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi1 1/2)) (sin.f64 (.f64 phi2 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 phi1 1/2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 phi1 1/2)))) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 (-.f64 phi1 phi2))) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 (cos.f64 (-.f64 phi1 phi2)) -1) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 phi1 phi2) 1)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
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(if (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (if (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1))))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (not (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (-.f64 lambda2 lambda1) -1)))))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (not (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))))))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (not (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))
(if (or (<=.f64 (-.f64 lambda1 lambda2) -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (not (<=.f64 (-.f64 lambda1 lambda2) 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544))) (.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi1 1/2)) 2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))

Compiler

Compiled 2341 to 1627 computations (30.5% saved)

soundness242.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 135 to 82 computations (39.3% saved)

end1.0s (0.9%)

Compiler: Compiled 2241 to 1420 computations (36.6% saved)